Formulas and Units. Transmission technical calculations Main Formulas. Size designations and units according to the SI-units.

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Formulas and Units. Transmission technical calculations Main Formulas. Size designations and units according to the SI-units."

Transcription

1 Fomuls nd Units Tnsmission technicl clcultions Min Fomuls Size designtions nd units ccoding to the SI-units Line movement: s v = m/s t s = v t m s = t m v = m/s t P = F v W F = m N Rottion ω = π f d/s v = ω = π f m/s M = F P = M ω W M = J ω& J ω W = Ws o J J = m kgm W = F s Ws m v W = Ws Units used v = velocity in m/s M = mss in kg P= powe in W s = length in m t = time in sec. = cc. in m/s t = cc. time in sec. F= foce in N W = wok in Ws = J = = ng. velocity in d./sec. f = fequency in ev./sec. = dius in m M = toque in J = Rottionl mss moment of ineti in kgm ω& = ngul cc. in d/s M = cceletion toque in

2 Fomule fo the tnsmission technique Powe Rottionl Movement: P s = M ω W (without loss) ω π n = d/s 30 M n π P = W η 30 M n π P = kw η Toque M = F P 9550 M A = η n Line Movement: P = F v W η F v P = kw 000 η Led scew: F p M = 000 π η Toothed belt: v = π D n m/min D m = z z t D = π M = toque in = ngul velocity in d/s n = evolutions/min. = efficiency (moto) F = foce in N z = numbe of teeth t = distnce between teeth in mm v = velocity in m/min M A = deliveed toque in = dius in m P= powe in kw o W D= dimete in m m = module p = pitch in mm/ev P s = tnsmitted shft powe P= necessy moto powe

3 Acceletion toque J n π M = t 30 Fo opetion of electicl motos with ge tnsmission: M Jed n π = t 30 Reduction of ottionl mss moment of ineti n = J = J kgm n mot i J ed Linely moveble msses is educed to the numbe of evolutions of the moto ccoding to: Rottionl mss moment of ineti of solid cylinde: v J ed = 9. m kgm n mot J = m y kgm M = cceletion toque in J = ottionl mss moment of ineti in kgm n = numbe of evolutions in ev./min. t = cceletion time in s v = velocity in m/s J ed = educed ottionl mss moment efeed to the moto shft in kgm n mot = numbe of evolutions of moto in ev/min. m = mss in kg y = oute dius of solid cylinde n mot i = ge tio n 3

4 Acceletion nd deceletion time t J n = s 9.55 M Bking wok M Jed n mot A = Ws M + M 8.4 b b L Necessy powe fo line movement F v P = kw 000 η Foce t sliding fiction F = m g µ N M = cceletion toque in M b = bking toque in M L = lod toque educed to the motoshft in t = cceletion time in s J = ottionl mss moment of ineti in kgm n = Numbe of evolutions in ev./min. W = wok in Ws o J = efficiency of line movement = fiction coefficient J ed = educed ottionl mss moment of ineti efeed to the moto shft n mot = numbe of evolutions of moto in ev/min. P = powe in kw F = foce in N v = line velocity in m/s m = lod in kg g = gvity (9.8 m/s ) 4

5 Fictionl foce duing line movement using wheels o ils m g d F = (µ + f) µ N D By ppoximte clcultions it is often simple to use the specific unning esistnce R in N/ton cige weight by clcultion of the equied powe. R q v P = kw 000 η Hevie ciges on ils, olle beings R = 70 00N/ton Lighte ciges on ils, olle beings R = 00 50N/ton F = foce in N m = lod in kg g = gvity D = wheel- o olle dimete in m f = olling fiction dius d = shft dimete in m = being fiction = il- o side fiction v = velocity in m/s = efficiency q = lod in ton Rolling fiction dius, f (m): Steel ginst steel f = Steel ginst wood f = 0.00 Hd ubbe ginst steel f = Hd ubbe ginst concete f = Inflted ubbe tie ginst concete f = Being, il- nd side fiction: Rolle beings = Sliding beings = Rolle beings =.6 Slide beings =.5 Sideguides with ollebeings =. Rolle guides side fiction =.8 5

6 SI - Units Symbol Mesue Unit SI bsic units m length mete kg mss kilogm s time second A electicl cuent mpee K tempetue Kelvin Designtion Mesue Unit Symbol Fo Motion Contol distnce mete m, ngle din d ngle degee d dimete mete m h height mete m l length mete m dius mete m s distnce mete m V volume cubic-mete m 3 line cceletion m/s ω& ngul cc. d/s f fequency Hetz Hz g gvity m/s n evolutions pe unit ev./min. /s w ngul velocity d/s T time constnt second s t time second s v line velocity m/s Mechnicl F foce Newton N G weight foce Newton N J Rottionl mss kgm moment of ineti M toque Newtonmete m mss kilogm kg P powe Wtt W W enegy Joule J efficiency fiction coefficient i ge tio Electicl I cuent Ampee A P ctive powe Wtt W R esistnce Ohm S,Ps ppeent powe Voltmpee W, VA U voltge Volt V 6

7 The otting mss moment of ineti of otting bodies Body Rottion Symbol Rottionl mss moment of ineti, J in kgm Hollow cylinde Aound own xis m Homogeneous cylinde Aound own xis m Thickwlled cylinde Aound own xis m ( + ) Disc Aound own xis m Disc Aound own plne m 4 Sphee Aound own cente m 5 Thinwlled sphee Aound own cente m 3 Thin od Pependicul ound own xis m l Steines Eqution Rottionl mss moment of ineti eltive to pllel shft in the distnce J = J kgm 0 + m J 0 = ottionl mss moment of ineti kgm eltive to the cente of gvity xis m = mss of the body = shft distnce kg m 7

8 Coeltion between ottionl mss moment of ineti nd otting mss J J = m kgm J = ottionl mss moment of ineti in kgm m = mss in kg J = inetil dius in m The efficiency fo diffeent types of dives e often vlues obtined by expeience: Some noml vlues fo pts with ollebeings: Dive belt with 80 foce tnsmitting ngle = Chin with 80 foce tnsmitting ngle = Toothed od = Tnspoting belt with 80 tnsmitting ngle = Wie with 80 tnsmitting ngle = The fiction vlues e difficult to give coectly nd e dependnt on sufce conditions nd lubiction. Some noml vlues: Steel ginst steel sttic fiction, dy = dynmic fiction, dy = sttic fiction, viscous = dynmic fiction, viscous = Wood ginst steel sttic fiction, dy = Dynmic fiction, viscous = Wood ginst wood Sttic fiction, dy = Dynmic fiction, viscous = Plstic ginst steel sttic fiction, dy = Dynmic fiction, viscous =

9 The twisting toque on shft fom pulling foce is ccoding to the following: d M = F η = F 0 η F = coss foce M = twisting toque d o = effective dimete on toothed wheel o chin wheel Efficiency, Toothed wheel = 0.95 Chin wheel = 0.95 Toothed belt = 0.80 Flt belt = 0.40 Flt belt, pe-tensed = 0.0 = efficiency = dius in m 9

Math 1105: Calculus II (Math/Sci majors) MWF 11am / 12pm, Campion 235 Written homework 5

Math 1105: Calculus II (Math/Sci majors) MWF 11am / 12pm, Campion 235 Written homework 5 Mth 5: Clculus II Mth/Sci mjos) MWF m / pm, Cmpion 35 Witten homewok 5 6.6, p. 458 3,33), 6.7, p. 467 8,3), 6.875), 7.58,6,6), 7.44,48) Fo pctice not to tun in): 6.6, p. 458,8,,3,4), 6.7, p. 467 4,6,8),

More information

Exam in physics, El-grunder (Electromagnetism), 2014-03-26, kl 9.00-15.00

Exam in physics, El-grunder (Electromagnetism), 2014-03-26, kl 9.00-15.00 Umeå Univesitet, Fysik 1 Vitly Bychkov Em in physics, El-gunde (Electomgnetism, 14--6, kl 9.-15. Hjälpmedel: Students my use ny book(s. Mino notes in the books e lso llowed. Students my not use thei lectue

More information

2.016 Hydrodynamics Prof. A.H. Techet

2.016 Hydrodynamics Prof. A.H. Techet .016 Hydodynmics Reding #5.016 Hydodynmics Po. A.H. Techet Fluid Foces on Bodies 1. Stedy Flow In ode to design oshoe stuctues, suce vessels nd undewte vehicles, n undestnding o the bsic luid oces cting

More information

12. Rolling, Torque, and Angular Momentum

12. Rolling, Torque, and Angular Momentum 12. olling, Toque, and Angula Momentum 1 olling Motion: A motion that is a combination of otational and tanslational motion, e.g. a wheel olling down the oad. Will only conside olling with out slipping.

More information

MAGNETIC FIELD AROUND CURRENT-CARRYING WIRES. point in space due to the current in a small segment ds. a for field around long wire

MAGNETIC FIELD AROUND CURRENT-CARRYING WIRES. point in space due to the current in a small segment ds. a for field around long wire MAGNETC FELD AROUND CURRENT-CARRYNG WRES How will we tckle this? Pln: 1 st : Will look t contibution d to the totl mgnetic field t some point in spce due to the cuent in smll segment of wie iot-svt Lw

More information

Orbits and Kepler s Laws

Orbits and Kepler s Laws Obits nd Keple s Lws This web pge intoduces some of the bsic ides of obitl dynmics. It stts by descibing the bsic foce due to gvity, then consides the ntue nd shpe of obits. The next section consides how

More information

Motion Control Formulas

Motion Control Formulas ems: A = acceleation ate {in/sec } C = caiage thust foce {oz} D = deceleation ate {in/sec } d = lead of scew {in/ev} e = lead scew efficiency ball scew 90% F = total fictional foce {oz} GR = gea atio J

More information

Summary: Vectors. This theorem is used to find any points (or position vectors) on a given line (direction vector). Two ways RT can be applied:

Summary: Vectors. This theorem is used to find any points (or position vectors) on a given line (direction vector). Two ways RT can be applied: Summ: Vectos ) Rtio Theoem (RT) This theoem is used to find n points (o position vectos) on given line (diection vecto). Two ws RT cn e pplied: Cse : If the point lies BETWEEN two known position vectos

More information

GRAVITATION 1. BASIC FORCES IN NATURE

GRAVITATION 1. BASIC FORCES IN NATURE GRAVITATION. BASIC ORCES IN NATURE POINTS TO REMEMBER. Bsing on the ntue nd eltive stength the bsic foces in ntue e clssified into fou ctegoies. They e ) Gvittionl foce ) Electomgnetic foce 3) Stong Nucle

More information

rotation -- Conservation of mechanical energy for rotation -- Angular momentum -- Conservation of angular momentum

rotation -- Conservation of mechanical energy for rotation -- Angular momentum -- Conservation of angular momentum Final Exam Duing class (1-3:55 pm) on 6/7, Mon Room: 41 FMH (classoom) Bing scientific calculatos No smat phone calculatos l ae allowed. Exam coves eveything leaned in this couse. Review session: Thusday

More information

Exam 3: Equation Summary

Exam 3: Equation Summary MASSACHUSETTS INSTITUTE OF TECHNOLOGY Depatment of Physics Physics 8.1 TEAL Fall Tem 4 Momentum: p = mv, F t = p, Fext ave t= t f t= Exam 3: Equation Summay total = Impulse: I F( t ) = p Toque: τ = S S,P

More information

Forces & Magnetic Dipoles. r r τ = μ B r

Forces & Magnetic Dipoles. r r τ = μ B r Foces & Magnetic Dipoles x θ F θ F. = AI τ = U = Fist electic moto invented by Faaday, 1821 Wie with cuent flow (in cup of Hg) otates aound a a magnet Faaday s moto Wie with cuent otates aound a Pemanent

More information

(Ch. 22.5) 2. What is the magnitude (in pc) of a point charge whose electric field 50 cm away has a magnitude of 2V/m?

(Ch. 22.5) 2. What is the magnitude (in pc) of a point charge whose electric field 50 cm away has a magnitude of 2V/m? Em I Solutions PHY049 Summe 0 (Ch..5). Two smll, positively chged sphees hve combined chge of 50 μc. If ech sphee is epelled fom the othe by n electosttic foce of N when the sphees e.0 m pt, wht is the

More information

PY1052 Problem Set 8 Autumn 2004 Solutions

PY1052 Problem Set 8 Autumn 2004 Solutions PY052 Poblem Set 8 Autumn 2004 Solutions H h () A solid ball stats fom est at the uppe end of the tack shown and olls without slipping until it olls off the ight-hand end. If H 6.0 m and h 2.0 m, what

More information

Experiment 6: Centripetal Force

Experiment 6: Centripetal Force Name Section Date Intoduction Expeiment 6: Centipetal oce This expeiment is concened with the foce necessay to keep an object moving in a constant cicula path. Accoding to Newton s fist law of motion thee

More information

Phys 2101 Gabriela González. cos. sin. sin

Phys 2101 Gabriela González. cos. sin. sin 1 Phys 101 Gabiela González a m t t ma ma m m T α φ ω φ sin cos α τ α φ τ sin m m α τ I We know all of that aleady!! 3 The figue shows the massive shield doo at a neuton test facility at Lawence Livemoe

More information

Voltage ( = Electric Potential )

Voltage ( = Electric Potential ) V-1 of 9 Voltage ( = lectic Potential ) An electic chage altes the space aound it. Thoughout the space aound evey chage is a vecto thing called the electic field. Also filling the space aound evey chage

More information

7 Circular Motion. 7-1 Centripetal Acceleration and Force. Period, Frequency, and Speed. Vocabulary

7 Circular Motion. 7-1 Centripetal Acceleration and Force. Period, Frequency, and Speed. Vocabulary 7 Cicula Motion 7-1 Centipetal Acceleation and Foce Peiod, Fequency, and Speed Vocabulay Vocabulay Peiod: he time it takes fo one full otation o evolution of an object. Fequency: he numbe of otations o

More information

Samples of conceptual and analytical/numerical questions from chap 21, C&J, 7E

Samples of conceptual and analytical/numerical questions from chap 21, C&J, 7E CHAPTER 1 Magnetism CONCEPTUAL QUESTIONS Cutnell & Johnson 7E 3. ssm A chaged paticle, passing though a cetain egion of space, has a velocity whose magnitude and diection emain constant, (a) If it is known

More information

Useful Motor/Torque Equations for EML2322L

Useful Motor/Torque Equations for EML2322L Useful Motor/Torque Equations for EML2322L Force (Newtons) F = m x a m = mass (kg) a = acceleration (m/s 2 ) Motor Torque (Newton-meters) T = F x d F = force (Newtons) d = moment arm (meters) Power (Watts)

More information

PHYSICS 111 HOMEWORK SOLUTION #13. May 1, 2013

PHYSICS 111 HOMEWORK SOLUTION #13. May 1, 2013 PHYSICS 111 HOMEWORK SOLUTION #13 May 1, 2013 0.1 In intoductoy physics laboatoies, a typical Cavendish balance fo measuing the gavitational constant G uses lead sphees with masses of 2.10 kg and 21.0

More information

(1) continuity equation: 0. momentum equation: u v g (2) u x. 1 a

(1) continuity equation: 0. momentum equation: u v g (2) u x. 1 a Comment on The effect of vible viscosity on mied convection het tnsfe long veticl moving sufce by M. Ali [Intentionl Jounl of Theml Sciences, 006, Vol. 45, pp. 60-69] Asteios Pntoktos Associte Pofesso

More information

Copyright 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.

Copyright 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. Chapte 5. Foce and Motion In this chapte we study causes of motion: Why does the windsufe blast acoss the wate in the way he does? The combined foces of the wind, wate, and gavity acceleate him accoding

More information

PHYSICS 111 HOMEWORK SOLUTION #5. March 3, 2013

PHYSICS 111 HOMEWORK SOLUTION #5. March 3, 2013 PHYSICS 111 HOMEWORK SOLUTION #5 Mach 3, 2013 0.1 You 3.80-kg physics book is placed next to you on the hoizontal seat of you ca. The coefficient of static fiction between the book and the seat is 0.650,

More information

Cypress Creek High School IB Physics SL/AP Physics B 2012 2013 MP2 Test 1 Newton s Laws. Name: SOLUTIONS Date: Period:

Cypress Creek High School IB Physics SL/AP Physics B 2012 2013 MP2 Test 1 Newton s Laws. Name: SOLUTIONS Date: Period: Nme: SOLUTIONS Dte: Period: Directions: Solve ny 5 problems. You my ttempt dditionl problems for extr credit. 1. Two blocks re sliding to the right cross horizontl surfce, s the drwing shows. In Cse A

More information

PHYS 211 FINAL FALL 2004 Form A

PHYS 211 FINAL FALL 2004 Form A 1. Two boys with masses of 40 kg and 60 kg are holding onto either end of a 10 m long massless pole which is initially at rest and floating in still water. They pull themselves along the pole toward each

More information

Center of Gravity. We touched on this briefly in chapter 7! x 2

Center of Gravity. We touched on this briefly in chapter 7! x 2 Center of Gravity We touched on this briefly in chapter 7! x 1 x 2 cm m 1 m 2 This was for what is known as discrete objects. Discrete refers to the fact that the two objects separated and individual.

More information

Problems on Force Exerted by a Magnetic Fields from Ch 26 T&M

Problems on Force Exerted by a Magnetic Fields from Ch 26 T&M Poblems on oce Exeted by a Magnetic ields fom Ch 6 TM Poblem 6.7 A cuent-caying wie is bent into a semicicula loop of adius that lies in the xy plane. Thee is a unifom magnetic field B Bk pependicula to

More information

N V V L. R a L I. Transformer Equation Notes

N V V L. R a L I. Transformer Equation Notes Tnsfome Eqution otes This file conts moe etile eivtion of the tnsfome equtions thn the notes o the expeiment 3 wite-up. t will help you to unestn wht ssumptions wee neee while eivg the iel tnsfome equtions

More information

Lecture 17. Last time we saw that the rotational analog of Newton s 2nd Law is

Lecture 17. Last time we saw that the rotational analog of Newton s 2nd Law is Lecture 17 Rotational Dynamics Rotational Kinetic Energy Stress and Strain and Springs Cutnell+Johnson: 9.4-9.6, 10.1-10.2 Rotational Dynamics (some more) Last time we saw that the rotational analog of

More information

Rolling Bearings Rolling B e arings

Rolling Bearings Rolling B e arings Rolling eings Technicl Infomtion Deep Goove ll gs. Angul Contct ll gs. Self-Aligning ll gs. Cylindicl Rolle gs. Tpeed Rolle gs. Spheicl Rolle gs. Thust gs. Needle Rolle gs. ll g. Units Plumme locks Cylindicl

More information

Answer, Key Homework 4 David McIntyre Mar 25,

Answer, Key Homework 4 David McIntyre Mar 25, Answer, Key Homework 4 Dvid McIntyre 45123 Mr 25, 2004 1 his print-out should hve 18 questions. Multiple-choice questions my continue on the next column or pe find ll choices before mkin your selection.

More information

Voltage ( = Electric Potential )

Voltage ( = Electric Potential ) V-1 Voltage ( = Electic Potential ) An electic chage altes the space aound it. Thoughout the space aound evey chage is a vecto thing called the electic field. Also filling the space aound evey chage is

More information

VEHICLE PLANAR DYNAMICS BICYCLE MODEL

VEHICLE PLANAR DYNAMICS BICYCLE MODEL Auptions -Do, VEHE PANA DYNAMS BYE MODE o tel, (esued o instntneous cente o ottion O) o Yw, (wt Globl Ais) ongitudinl elocit is ued to be constnt. Sll slip ngles, i.e. ties opete in the line egion. No

More information

mv2. Equating the two gives 4! 2. The angular velocity is the angle swept per GM (2! )2 4! 2 " 2 = GM . Combining the results we get !

mv2. Equating the two gives 4! 2. The angular velocity is the angle swept per GM (2! )2 4! 2  2 = GM . Combining the results we get ! Chapte. he net foce on the satellite is F = G Mm and this plays the ole of the centipetal foce on the satellite i.e. mv mv. Equating the two gives = G Mm i.e. v = G M. Fo cicula motion we have that v =!

More information

Introduction to Fluid Mechanics

Introduction to Fluid Mechanics Chapte 1 1 1.6. Solved Examples Example 1.1 Dimensions and Units A body weighs 1 Ibf when exposed to a standad eath gavity g = 3.174 ft/s. (a) What is its mass in kg? (b) What will the weight of this body

More information

Intro to Circle Geometry By Raymond Cheong

Intro to Circle Geometry By Raymond Cheong Into to Cicle Geomety By Rymond Cheong Mny poblems involving cicles cn be solved by constucting ight tingles then using the Pythgoen Theoem. The min chllenge is identifying whee to constuct the ight tingle.

More information

SOLID MECHANICS DYNAMICS TUTORIAL MOMENT OF INERTIA. This work covers elements of the following syllabi.

SOLID MECHANICS DYNAMICS TUTORIAL MOMENT OF INERTIA. This work covers elements of the following syllabi. SOLID MECHANICS DYNAMICS TUTOIAL MOMENT OF INETIA This work covers elements of the following syllabi. Parts of the Engineering Council Graduate Diploma Exam D5 Dynamics of Mechanical Systems Parts of the

More information

Magnetic Field and Magnetic Forces. Young and Freedman Chapter 27

Magnetic Field and Magnetic Forces. Young and Freedman Chapter 27 Magnetic Field and Magnetic Foces Young and Feedman Chapte 27 Intoduction Reiew - electic fields 1) A chage (o collection of chages) poduces an electic field in the space aound it. 2) The electic field

More information

Straight pipe model. Orifice model. * Please refer to Page 3~7 Reference Material for the theoretical formulas used here. Qa/Qw=(ηw/ηa) (P1+P2)/(2 P2)

Straight pipe model. Orifice model. * Please refer to Page 3~7 Reference Material for the theoretical formulas used here. Qa/Qw=(ηw/ηa) (P1+P2)/(2 P2) Air lek test equivlent to IX7nd IX8 In order to perform quntittive tests Fig. shows the reltionship between ir lek mount nd wter lek mount. Wter lek mount cn be converted into ir lek mount. By performing

More information

Module 2. Analysis of Statically Indeterminate Structures by the Matrix Force Method. Version 2 CE IIT, Kharagpur

Module 2. Analysis of Statically Indeterminate Structures by the Matrix Force Method. Version 2 CE IIT, Kharagpur Module Anlysis of Stticlly Indeterminte Structures by the Mtrix Force Method Version CE IIT, Khrgpur esson 9 The Force Method of Anlysis: Bems (Continued) Version CE IIT, Khrgpur Instructionl Objectives

More information

MBR0540T1G NRVB0540T1G MBR0540T3G NRVB0540T3G. Surface Mount Schottky Power Rectifier. SOD 123 Power Surface Mount Package

MBR0540T1G NRVB0540T1G MBR0540T3G NRVB0540T3G. Surface Mount Schottky Power Rectifier. SOD 123 Power Surface Mount Package MB54T1G, NVB54T1G, MB54T3G, NVB54T3G Surface Mount Schottky Power ectifier Power Surface Mount Package The Schottky Power ectifier employs the Schottky Barrier principle with a barrier metal that produces

More information

PROBLEMS 13 - APPLICATIONS OF DERIVATIVES Page 1

PROBLEMS 13 - APPLICATIONS OF DERIVATIVES Page 1 PROBLEMS - APPLICATIONS OF DERIVATIVES Pge ( ) Wter seeps out of conicl filter t the constnt rte of 5 cc / sec. When the height of wter level in the cone is 5 cm, find the rte t which the height decreses.

More information

v o a y = = * Since H < 1m, the electron does not reach to the top plate.

v o a y = = * Since H < 1m, the electron does not reach to the top plate. . The uniom electic ield between two conducting chged pltes shown in the igue hs mgnitude o.40 N/C. The plte seption is m, nd we lunch n electon om the bottom plte diectl upwd with v o 6 m/s. Will the

More information

1 2 3 4 5 6 90 180 360 600 900 W kg M stop start P M 1. 2. M 3. P 4. M M 1. 2. P 3. P 4. M M 1. 2. P 3. P 4. M 250 250 250 1. P 2. 3. P pm h M1 M2 min sec kg M 1. 2. 3. M M 1. 2. 3. M M M 1. 2. M 90

More information

r (1+cos(θ)) sin(θ) C θ 2 r cos θ 2

r (1+cos(θ)) sin(θ) C θ 2 r cos θ 2 icles xmple 66: Rounding one ssume we hve cone of ngle θ, nd we ound it off with cuve of dius, how f wy fom the cone does the ound stt? nd wht is the chod length? (1+cos(θ)) sin(θ) θ 2 cos θ 2 xmple 67:

More information

Physical Quantities, Symbols and Units

Physical Quantities, Symbols and Units Table 1 below indicates the physical quantities required for numerical calculations that are included in the Access 3 Physics units and the Intermediate 1 Physics units and course together with the SI

More information

SECTION 5-4 Trigonometric Functions

SECTION 5-4 Trigonometric Functions Tigonometic Functions 78. Engineeing. In Polem 77, though wht ngle in dins will the ck wheel tun if the font wheel tuns though dins? The c length on cicle is esy to compute if the coesponding centl ngle

More information

Curvature. (Com S 477/577 Notes) Yan-Bin Jia. Oct 8, 2015

Curvature. (Com S 477/577 Notes) Yan-Bin Jia. Oct 8, 2015 Cuvtue Com S 477/577 Notes Yn-Bin Ji Oct 8, 205 We wnt to find mesue of how cuved cuve is. Since this cuvtue should depend only on the shpe of the cuve, it should not be chnged when the cuve is epmetized.

More information

Vector Calculus: Are you ready? Vectors in 2D and 3D Space: Review

Vector Calculus: Are you ready? Vectors in 2D and 3D Space: Review Vecto Calculus: Ae you eady? Vectos in D and 3D Space: Review Pupose: Make cetain that you can define, and use in context, vecto tems, concepts and fomulas listed below: Section 7.-7. find the vecto defined

More information

Revision Guide for Chapter 11

Revision Guide for Chapter 11 Revision Guide fo Chapte 11 Contents Student s Checklist Revision Notes Momentum... 4 Newton's laws of motion... 4 Gavitational field... 5 Gavitational potential... 6 Motion in a cicle... 7 Summay Diagams

More information

MICRO COMBICON Headers for Through Hole Reflow Applications MC(V) 0,5/ G-2,5 THT 2.5 mm Pitch

MICRO COMBICON Headers for Through Hole Reflow Applications MC(V) 0,5/ G-2,5 THT 2.5 mm Pitch MICRO COMBICON Heders for Through Hole Reflow Applictions MC(V) 0,5/ G-2,5 THT The consistent use of Through Hole Reflow plug connectors hs lso mde it necessry to extend the COMBICON THR rnge to include

More information

Name Period WORKSHEET: KINETIC AND POTENTIAL ENERGY PROBLEMS. 1. Stored energy or energy due to position is known as energy.

Name Period WORKSHEET: KINETIC AND POTENTIAL ENERGY PROBLEMS. 1. Stored energy or energy due to position is known as energy. Name Period Date WORKSHEET: KINETIC AND POTENTIAL ENERGY PROBLEMS 1. Stored energy or energy due to position is known as energy. 2. The formula for calculating potential energy is. 3. The three factors

More information

W i f(x i ) x. i=1. f(x i ) x = i=1

W i f(x i ) x. i=1. f(x i ) x = i=1 Work Force If an object is moving in a straight line with position function s(t), then the force F on the object at time t is the product of the mass of the object times its acceleration. F = m d2 s dt

More information

m, where m = m 1 + m m n.

m, where m = m 1 + m m n. Lecture 7 : Moments nd Centers of Mss If we hve msses m, m 2,..., m n t points x, x 2,..., x n long the x-xis, the moment of the system round the origin is M 0 = m x + m 2 x 2 + + m n x n. The center of

More information

Episode 401: Newton s law of universal gravitation

Episode 401: Newton s law of universal gravitation Episode 401: Newton s law of univesal gavitation This episode intoduces Newton s law of univesal gavitation fo point masses, and fo spheical masses, and gets students pactising calculations of the foce

More information

Physics 201 Homework 8

Physics 201 Homework 8 Physics 201 Homework 8 Feb 27, 2013 1. A ceiling fan is turned on and a net torque of 1.8 N-m is applied to the blades. 8.2 rad/s 2 The blades have a total moment of inertia of 0.22 kg-m 2. What is the

More information

Solution Derivations for Capa #8

Solution Derivations for Capa #8 Solution Deivations fo Capa #8 1) A ass spectoete applies a voltage of 2.00 kv to acceleate a singly chaged ion (+e). A 0.400 T field then bends the ion into a cicula path of adius 0.305. What is the ass

More information

Lab M4: The Torsional Pendulum and Moment of Inertia

Lab M4: The Torsional Pendulum and Moment of Inertia M4.1 Lab M4: The Tosional Pendulum and Moment of netia ntoduction A tosional pendulum, o tosional oscillato, consists of a disk-like mass suspended fom a thin od o wie. When the mass is twisted about the

More information

Displacement, Velocity And Acceleration

Displacement, Velocity And Acceleration Displacement, Velocity And Acceleation Vectos and Scalas Position Vectos Displacement Speed and Velocity Acceleation Complete Motion Diagams Outline Scala vs. Vecto Scalas vs. vectos Scala : a eal numbe,

More information

CHAPTER 15 FORCE, MASS AND ACCELERATION

CHAPTER 15 FORCE, MASS AND ACCELERATION CHAPTER 5 FORCE, MASS AND ACCELERATION EXERCISE 83, Page 9. A car initially at rest accelerates uniformly to a speed of 55 km/h in 4 s. Determine the accelerating force required if the mass of the car

More information

Gravitation. AP Physics C

Gravitation. AP Physics C Gavitation AP Physics C Newton s Law of Gavitation What causes YOU to be pulled down? THE EARTH.o moe specifically the EARTH S MASS. Anything that has MASS has a gavitational pull towads it. F α Mm g What

More information

Chapter 22 The Electric Field II: Continuous Charge Distributions

Chapter 22 The Electric Field II: Continuous Charge Distributions Chpte The lectic Field II: Continuous Chge Distibutions Conceptul Poblems [SSM] Figue -7 shows n L-shped object tht hs sides which e equl in length. Positive chge is distibuted unifomly long the length

More information

Chapter 30: Magnetic Fields Due to Currents

Chapter 30: Magnetic Fields Due to Currents d Chapte 3: Magnetic Field Due to Cuent A moving electic chage ceate a magnetic field. One of the moe pactical way of geneating a lage magnetic field (.1-1 T) i to ue a lage cuent flowing though a wie.

More information

XIIth PHYSICS (C2, G2, C, G) Solution

XIIth PHYSICS (C2, G2, C, G) Solution XIIth PHYSICS (C, G, C, G) -6- Solution. A 5 W, 0 V bulb and a 00 W, 0 V bulb ae connected in paallel acoss a 0 V line nly 00 watt bulb will fuse nly 5 watt bulb will fuse Both bulbs will fuse None of

More information

The HMK guide to Sizing of Servo Motors and Amplifier

The HMK guide to Sizing of Servo Motors and Amplifier The HMK guide to Sizing of Servo Motors and Amplifier Edition 2-08/02 Author C. Krajewski Drive Sizing Page 1 of 23 1. Introduction... 3 2. Torque... 4 2.1 Load Torque... 4 2.1.1 Pulley, Pinion or Sprocket...

More information

1.7. formulae and transposition. Introduction. Prerequisites. Learning Outcomes. Learning Style

1.7. formulae and transposition. Introduction. Prerequisites. Learning Outcomes. Learning Style formulae and transposition 1.7 Introduction formulae are used frequently in almost all aspects of engineering in order to relate a physical quantity to one or more others. Many well-known physical laws

More information

Review Problems for the Final of Math 121, Fall 2014

Review Problems for the Final of Math 121, Fall 2014 Review Problems for the Finl of Mth, Fll The following is collection of vrious types of smple problems covering sections.,.5, nd.7 6.6 of the text which constitute only prt of the common Mth Finl. Since

More information

COMPONENTS: COMBINED LOADING

COMPONENTS: COMBINED LOADING LECTURE COMPONENTS: COMBINED LOADING Third Edition A. J. Clrk School of Engineering Deprtment of Civil nd Environmentl Engineering 24 Chpter 8.4 by Dr. Ibrhim A. Asskkf SPRING 2003 ENES 220 Mechnics of

More information

Laplace s Equation on a Disc

Laplace s Equation on a Disc LECTURE 15 Lplce s Eqution on Disc Lst time we solved the Diichlet poblem fo Lplce s eqution on ectngul egion. Tody we ll look t the coesponding Diichlet poblem fo disc. Thus, we conside disc of dius 1

More information

Ch. 8 Universal Gravitation. Part 1: Kepler s Laws. Johannes Kepler. Tycho Brahe. Brahe. Objectives: Section 8.1 Motion in the Heavens and on Earth

Ch. 8 Universal Gravitation. Part 1: Kepler s Laws. Johannes Kepler. Tycho Brahe. Brahe. Objectives: Section 8.1 Motion in the Heavens and on Earth Ch. 8 Univesal Gavitation Pat 1: Keple s Laws Objectives: Section 8.1 Motion in the Heavens and on Eath Objectives Relate Keple s laws of planetay motion to Newton s law of univesal gavitation. Calculate

More information

AREA OF A SURFACE OF REVOLUTION

AREA OF A SURFACE OF REVOLUTION AREA OF A SURFACE OF REVOLUTION h cut r πr h A surfce of revolution is formed when curve is rotted bout line. Such surfce is the lterl boundr of solid of revolution of the tpe discussed in Sections 7.

More information

2.016 Hydrodynamics Prof. A.H. Techet

2.016 Hydrodynamics Prof. A.H. Techet .01 Hydrodynics Reding #.01 Hydrodynics Prof. A.H. Techet Added Mss For the cse of unstedy otion of bodies underwter or unstedy flow round objects, we ust consider the dditionl effect (force) resulting

More information

3 Work, Power and Energy

3 Work, Power and Energy 3 Work, Power and Energy At the end of this section you should be able to: a. describe potential energy as energy due to position and derive potential energy as mgh b. describe kinetic energy as energy

More information

Experiment 6: Friction

Experiment 6: Friction Experiment 6: Friction In previous lbs we studied Newton s lws in n idel setting, tht is, one where friction nd ir resistnce were ignored. However, from our everydy experience with motion, we know tht

More information

r Curl is associated w/rotation X F

r Curl is associated w/rotation X F 13.5 ul nd ivegence ul is ssocited w/ottion X F ivegence is F Tody we define two opetions tht cn e pefomed on vecto fields tht ply sic ole in the pplictions of vecto clculus to fluid flow, electicity,

More information

14. Gravitation Universal Law of Gravitation (Newton):

14. Gravitation Universal Law of Gravitation (Newton): 14. Gavitation 1 Univesal Law of Gavitation (ewton): The attactive foce between two paticles: F = G m 1m 2 2 whee G = 6.67 10 11 m 2 / kg 2 is the univesal gavitational constant. F m 2 m 1 F Paticle #1

More information

2 r2 θ = r2 t. (3.59) The equal area law is the statement that the term in parentheses,

2 r2 θ = r2 t. (3.59) The equal area law is the statement that the term in parentheses, 3.4. KEPLER S LAWS 145 3.4 Keple s laws You ae familia with the idea that one can solve some mechanics poblems using only consevation of enegy and (linea) momentum. Thus, some of what we see as objects

More information

The Role of Gravity in Orbital Motion

The Role of Gravity in Orbital Motion ! The Role of Gavity in Obital Motion Pat of: Inquiy Science with Datmouth Developed by: Chistophe Caoll, Depatment of Physics & Astonomy, Datmouth College Adapted fom: How Gavity Affects Obits (Ohio State

More information

Multiple choice questions [70 points]

Multiple choice questions [70 points] Multiple choice questions [70 points] Answe all of the following questions. Read each question caefull. Fill the coect bubble on ou scanton sheet. Each question has exactl one coect answe. All questions

More information

Module 2 GEARS. Lecture 3 - INVOLUTE SPUR GEARS

Module 2 GEARS. Lecture 3 - INVOLUTE SPUR GEARS Module 2 GEARS Lecture 3 - INVOLUTE SPUR GEARS Contents 3.1 Introduction 3.2 Standard tooth systems for spur gears 3.3 Profile shifted gears 3.4 Involutometry 3.5 Design of gear blanks 3.1 INTRODUCTION

More information

Gauss Law. Physics 231 Lecture 2-1

Gauss Law. Physics 231 Lecture 2-1 Gauss Law Physics 31 Lectue -1 lectic Field Lines The numbe of field lines, also known as lines of foce, ae elated to stength of the electic field Moe appopiately it is the numbe of field lines cossing

More information

AMPERE S LAW. by Kirby Morgan MISN-0-138

AMPERE S LAW. by Kirby Morgan MISN-0-138 MISN-0-138 AMPERE S LAW by Kiby Mogn 1. Usefullness................................................ 1 AMPERE S LAW 2. The Lw................................................... 1. The Integl Reltionship...............................

More information

Chapter 23 Electrical Potential

Chapter 23 Electrical Potential hpte Electicl Potentil onceptul Polems [SSM] A poton is moved to the left in unifom electic field tht points to the ight. Is the poton moving in the diection of incesing o decesing electic potentil? Is

More information

Determining solar characteristics using planetary data

Determining solar characteristics using planetary data Detemining sola chaacteistics using planetay data Intoduction The Sun is a G type main sequence sta at the cente of the Sola System aound which the planets, including ou Eath, obit. In this inestigation

More information

Momentum and Energy. Ron Robertson

Momentum and Energy. Ron Robertson Momentum and Energy Ron Robertson Momentum Momentum is inertia in motion. Momentum = mass x velocity Unit kg meters/second Momentum is changed by force. The amount of momentum change is also affected by

More information

Volumes of solids of revolution

Volumes of solids of revolution Volumes of solids of revolution We sometimes need to clculte the volume of solid which cn be obtined by rotting curve bout the x-xis. There is strightforwrd technique which enbles this to be done, using

More information

Important Equations in Physics for IGCSE course. Area of triangular shaped graph = ½ base height

Important Equations in Physics for IGCSE course. Area of triangular shaped graph = ½ base height Important Equations in Physics for IGCSE course General Physics: 1 For constant motion: v = s t 2 For acceleration a v u a = t 3 Graph Area of a rectangular shaped graph = base height. 4 Weight and mass

More information

the role of angular momentum

the role of angular momentum Ultafast ast magnetization at dynamics: the ole of angula momentum Andei Kiilyuk, The Nethelands 1 Magnetization dynamics and switching N S enegy gain: E = M dl H toque: = T dt with damping: M γ = dm dt

More information

Fric-3. force F k and the equation (4.2) may be used. The sense of F k is opposite

Fric-3. force F k and the equation (4.2) may be used. The sense of F k is opposite 4. FRICTION 4.1 Laws of friction. We know from experience that when two bodies tend to slide on each other a resisting force appears at their surface of contact which opposes their relative motion. The

More information

HW Set VI page 1 of 9 PHYSICS 1401 (1) homework solutions

HW Set VI page 1 of 9 PHYSICS 1401 (1) homework solutions HW Set VI page 1 of 9 10-30 A 10 g bullet moving directly upward at 1000 m/s strikes and passes through the center of mass of a 5.0 kg block initially at rest (Fig. 10-33 ). The bullet emerges from the

More information

Radius of the Earth - Radii Used in Geodesy James R. Clynch February 2006

Radius of the Earth - Radii Used in Geodesy James R. Clynch February 2006 dius of the Erth - dii Used in Geodesy Jmes. Clynch Februry 006 I. Erth dii Uses There is only one rdius of sphere. The erth is pproximtely sphere nd therefore, for some cses, this pproximtion is dequte.

More information

AAPT UNITED STATES PHYSICS TEAM AIP 2010

AAPT UNITED STATES PHYSICS TEAM AIP 2010 2010 F = m Exm 1 AAPT UNITED STATES PHYSICS TEAM AIP 2010 Enti non multiplicnd sunt preter necessittem 2010 F = m Contest 25 QUESTIONS - 75 MINUTES INSTRUCTIONS DO NOT OPEN THIS TEST UNTIL YOU ARE TOLD

More information

Magnetism: a new force!

Magnetism: a new force! -1 Magnetism: a new foce! o fa, we'e leaned about two foces: gaity and the electic field foce. F E = E, FE = E Definition of E-field kq E-fields ae ceated by chages: E = 2 E-field exets a foce on othe

More information

Answer, Key Homework 6 David McIntyre 45123 Mar 25, 2004 1

Answer, Key Homework 6 David McIntyre 45123 Mar 25, 2004 1 Answe, Key Homewok 6 vid McInye 4513 M 5, 004 1 This pin-ou should hve 0 quesions. Muliple-choice quesions my coninue on he nex column o pge find ll choices befoe mking you selecion. The due ime is Cenl

More information

IV. POWER. P = W t. = E t. where W is the work done, t is the time required to do the work, and E is the energy used. 1 horsepower = 1 hp = 550

IV. POWER. P = W t. = E t. where W is the work done, t is the time required to do the work, and E is the energy used. 1 horsepower = 1 hp = 550 IV. POWER A. INTRODUCTION Power is the rate at which work is done. Work involves a force or force-like quantity acting on object and causing its displacement in the direction of the force. The time required

More information

Fluid Mechanics: Static s Kinematics Dynamics Fluid

Fluid Mechanics: Static s Kinematics Dynamics Fluid Fluid Mechanics: Fluid mechanics may be defined as that branch of engineering science that deals with the behavior of fluid under the condition of rest and motion Fluid mechanics may be divided into three

More information

Chapter F. Magnetism. Blinn College - Physics Terry Honan

Chapter F. Magnetism. Blinn College - Physics Terry Honan Chapte F Magnetism Blinn College - Physics 46 - Tey Honan F. - Magnetic Dipoles and Magnetic Fields Electomagnetic Duality Thee ae two types of "magnetic chage" o poles, Noth poles N and South poles S.

More information

www.sakshieducation.com

www.sakshieducation.com Viscosity. The popety of viscosity in gas is due to ) Cohesive foces between the moecues ) Coisions between the moecues ) Not having a definite voume ) Not having a definite size. When tempeatue is inceased

More information

MECHANICAL PRINCIPLES OUTCOME 4 MECHANICAL POWER TRANSMISSION TUTORIAL 1 SIMPLE MACHINES

MECHANICAL PRINCIPLES OUTCOME 4 MECHANICAL POWER TRANSMISSION TUTORIAL 1 SIMPLE MACHINES MECHANICAL PRINCIPLES OUTCOME 4 MECHANICAL POWER TRANSMISSION TUTORIAL 1 SIMPLE MACHINES Simple machines: lifting devices e.g. lever systems, inclined plane, screw jack, pulley blocks, Weston differential

More information