Turning Formulas. RPM = n (rev/min) Revolutions per minute. A measure of spindle speed
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1 Turning Formulas 1/14 RPM = n (rev/min) Revolutions per. A measure of spindle speed n = 3.82 (v c D) n = Rpm (rev/min) v c = Cutting Sped (SFPM) D = Workpiece Diameter v c = 750 D = 2.0 n = 3.82 x ( ) n = /14 1
2 Cutting Speed = V c (ft/min) Cutting speed is defined as the velocity of the workpiece as it passes by the cutting tool. V c = D n V c = Cutting Speed (SFM) D = Workpiece Diameter n = Rpm (rev/min) D = 2.0 n = 1433 V c = x 2.0 x 1433 X V c = 751 Cutting Speed 3/14 Metal Removal Rate = Q (inch 3 /min) the rate at which material is removed from an unfinished part, usually measured in cubic inches per Q = 12 a p f v c Q = metal removal rate (in 3 /min) a p = depth of cut f = feed (in/rev) v c = cutting speed Metal Removal Rate v c a p f a p = f = V c = 750 Q = Q = 13.5 in 3 4/14 2
3 Feed Rate = f m (inch/min) the rate of tool travel through the workpiece per unit of time, generally expressed in inches per revolution (turning) or inch per tooth (milling) f m f f m = f n = feed rate (in/min) or IPM = feed (in/rev) n = RPM f = n = 1433 Undeformed chip thickness Lead angle Feed rate f m = f m = /14 Cutting Time = t (min) The measure of actual time the tool is engaged in the cut t = L f m t = cutting time (min) L = length of cut (in) f m = feed rate (in/min) L = 2.00 f m = 36.1 t = t = s t = 3.3 seconds 6/14 3
4 Horsepower at Spindle = HP s HP s = Q P HP s = horsepower at spindle (hp) 7/14 Horsepower at Spindle = HP s HP s = Q P HP s = horsepower at spindle (hp) HPs = HPs = /14 4
5 Horsepower at Spindle = HP s HP s = Q P HP s = horsepower at spindle (hp) HPs = HPs = /14 Horsepower at Motor = HP m HP m = (Q P) E HP m = horsepower at motor (hp) E = efficiency of spindle drive Example: material a36 E = 80% 10/14 5
6 Horsepower at Motor = HP m HP m = (Q P) E HP m = horsepower at motor (hp) E = efficiency of spindle drive Example: material a36 E = 80% HP m = ( ) 0.80 HP m = (16.5) 0.80 HP m = /14 Horsepower at Motor = HP m HP m = (Q P) E HP m = horsepower at motor (hp) E = efficiency of spindle drive Example: material a36 E = 80% HP m = ( ) 0.80 HP m = (16.5) 0.80 HP m = /14 6
7 Summary and Questions 13/14 Turning Formulas 14/14 7
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