Consistency Test on Mass Calibration of Set of Weights in Class E 2 and Lowers

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1 Prodgs of th 17 th Itrtol Cofr o For, Mss, Torq d Prssr Msrts, IMEKO TC3, 17-1 St. 001, Istbl, Trky Cossty Tst o Mss Clbrto of St of Wghts Clss E d Lowrs Ls Or Brr, Igo Hrádz, Jorg Nv, Fél Pzt Ntol Ctr of Mtrology (CENAM) Qrétro, Mo Abstrt O wght lbrtos o by o thr s ot wy to hk bot th vldty of th fodd vls o lbrto d to systt rrors (.. ossbl ss dvto of th ss stdrd sd). Th rst work rooss wy to hk th ss vls of th lbrto tht wold sort lbrto dsos, slly for th sodry lbs. 1. Itrodto O wghts lbrto thr s ot rfr bot th trthflss of th rsltg vl lbrto. Wghts r dlt strts to hdl d t s oo tht wghts old drft thr ss, d thr s ot wy to ot t bfor thr lbrto. Th ossty tst roosd offrs to th trologst th ossblty to rv ttto sgl f y of th vls s ot osstt th lbrto of ss sts, d fro ths wy th trologst wold hv th ossblty to tk dsos bot t (orrtvs tos). wghts fro E 1 to M 3. Th OIML R111 dfs th ol vls of ss stdrds s 1 10 kg, 10 kg or 510 whr old b gtv br, ostv br or zro, d th sq of th sts old b ford fro th t otos (1;1;;5) 10 kg; (1;1;1;;5) 10 kg; (1;;;5) 10 kg or (1;1;;;5) 10 kg [1]. O wghts lbrto of lss E d lowrs ss stdrds of hghr ry lss r sd, sg for th lbrto t odl to llt th ovtol ss [], 1, (1). Dvlot Th Itrtol Rodto OIML R111 dfs sv ry lsss of Covtol ss of th kow wght Covtol ss of th stdrd wght 305

2 Prodgs of th 17 th Itrtol Cofr o For, Mss, Torq d Prssr Msrts, IMEKO TC3, 17-1 St. 001, Istbl, Trky Ar dsty 1, Covtol r dsty ol of th stdrd wght ol of th kow wght Mss dffr btw stdrd wght d th kow wght rd o th bl Th obd stdrd rtty of th ovtol ss of th kow wght s obtd fro qto () () 1, Stdrd rtty of th vrbl Th dd rtty of th ovtol ss s obtd by ltlyg th obd stdrd rtty by ofd ftor, slly k= tht lfy th ofd trvls of th rtty to rotly 95%, d ths vl st ot b lrgr th 1/3 of th M Tolrbl Error (MTE) of th ry lss of th lbrtd wght. (ll togthr s kow wght), sg th orrsodg ss stdrd qvlt. Th s of th dvdl vls of th wghts st to b ql to th fod vl o th lbrto of th gro of wghts btw th rtty vls. For l wghts st of ol vls fro 100 g to 500 g, th wghts 100 g, 00 g, 00 g(*), d 500 g r lbrtd o by o d flly ll wghts togthr s gro of 1 kg s ol vl vs. 1 kg ss stdrd, s Tbl 1. Tbl 1. Sh of orsos for 100 g to 500 g Stdrd Wght kow Wght 100 g s 100 g 00 g s 00 g 00 g s 00 g(*) 500 g s 500 g 1 kg s 100 g + 00 g + 00 g(*) g Dffr btw ss vls of th gro of wghts d th s of th dvdl ss vls obtd st to stsfy t dsrt, (4) (3) k Whr Th dd rtty k Covrg ftor ssot to th ofd lvl Th ossty tst ossts lbrto of th gro of wghts of rtlr dd, 1 Fod ss vls of th lbrto r osstt, th lbrto ws ok 1 Fod ss vls of th lbrto r ot osstt btw th, t s ssry tk orrtv tos. 306

3 Prodgs of th 17 th Itrtol Cofr o For, Mss, Torq d Prssr Msrts, IMEKO TC3, 17-1 St. 001, Istbl, Trky Norlzd rror vl Covtol Mss of th gro of th wghts (obtd fro th qto 1, tkg s kow wght th st of wghts) S of th sss fod o ts dvdl lbrto Edd rtty obtd o th gro lbrto ord wth th qto 3 S of th ss dd rtts fro th dvdl lbrto of th wghts, qto 5. (5) k Ths lls of rtty tks th rtts obtd wth orrlto offt ql to 1 [3]. Th s of th orlzd rror ossts org th dffr btw th ss of th gro of wghts d th s of th ss dvdl vls th rg of th obd rtty of both lltos. If th ss dffr btw both lbrto s sll th th obd rtty of both vls, th th ss lbrtos looks f, bt f th ss dffr s lrg th th obd rtty shows tht thr s y robl th lbrtos d th rtty obtd do ot ovr t. It s ortt to sy tht th rtty hs lt (1/3 MTE), d fro ths wy thr s ot ossblty to lrg th rtty ordr to ovr ths dffr. 3. Nr El O st lbrto r obtd t ovtol ss vls o wghts fro 100 g to 500 g Tbl. Fod vls o st of wghts fro 100 g to 500 g Nol l Corrto* g rtty (k=) g 100 g + 0,153 0, g -0,006 0, g -0,003 0, g -0,016 0,019 0,18 0,176 (1 kg) -0,01 0,170 *Corrto s ql to th ovtol ss lss to th ol vl of th wght Th orlzd rror s obtd fro, 0,61 Th vl of s lowr th 1, t s tht th vls of th lbrto r osstt btw th (Fg. 1). Th vl of dts tht ll th stdrds sd o th lbrto hd ot drft (th oly ossblty s tht ll thy hd drftd togthr), th llto of th ovtol ss d th rtty look ok. 307

4 Prodgs of th 17 th Itrtol Cofr o For, Mss, Torq d Prssr Msrts, IMEKO TC3, 17-1 St. 001, Istbl, Trky Fgr 1. Corso btw ss orrtos of d d ts rtts rstvly Now lts s l whr vls obtd th lbrto r o tbl 3. Tbl 3. Covtol Mss ls fod lbrto st wght for 100 g to 500 g Nol l Corrto g rtty (k=) g 100 g + 0,153 0, g + 0,080 0, g -0,003 0, g -0,01 0, ,48 0,176 (1 kg) - 0,01 0,170 Th orlzd rror hs t vl, ,1 o ths l s lrgr th 1, d t s tht vls fod o th wghts lbrto r ot osstt btw th, lthogh th rtty brs toh btw th (Fg ). Ths stto gv s lrt ssg bot th rslts of th lbrto offrs s h to hk th lbrto ross (dt trsfrrg, lls, lbrto of th stdrds, ssors, t), bfor to sbt lbrto rtft stdrds, ssors, t), bfor to sbt lbrto rtft Fgr. Corso btw ss orrto of d d ts rtts rstvly If th ss lbortory hs hstory of vls for dffrt dds t old k sttstl lyss of ths vls d stblsh th trvls of lbrto bsd o t. 4. Dssso Th ossty tst old b ld to y ry lss of wght, bt t s rodd for lss E d lowrs bs for ss lbrto of wghts lss E 1 r sd odls of sbdvso whr hk stdrds r trodd th odls for th sttstl otrol. For ry lsss lowrs th E 1 th ossty tst old offr ofd to th ss lbortory o thr rtfts d for th stos for th srv rvd. By othr hd t s ssry to sy tht ths tst s ot sstv to ql drft ll stdrds volvd lbrto, bs th rslts obtd wold b osstt btw th, bt dvts fro th rl ss vl, ths ossblty s vodd wth th lbrto rogr of th stdrd. O ss lbrto of wght lsss E 1 d E r rqrd th vols of th wghts, d ts vol r b dtrt by 308

5 Prodgs of th 17 th Itrtol Cofr o For, Mss, Torq d Prssr Msrts, IMEKO TC3, 17-1 St. 001, Istbl, Trky hydrostt wghg slly, th ossty tst old b dqt to vol srts whr th s of vols old b ord vs. th vol of th gro of wghts (orlly dd). 5. Colsos Th vl rrsts how h of th rtty s took for th dffr btw th s of ss d th ss of th gro of wghts, th f = 1 s tht th dffr s o th lt of th rtty, d = 0,5 s tht th dffr tks hlf of th trvl of rtty d = 0 s tht th dffr s zro, rftly osstt. Th ossty tst old b sfl tool for th trologl ssr of th ss lbs, bs wth th vls th lb old df lbrto trvls d sort ll vls dlrd o rtfts or rorts of lbrto. Th ofd of th stos old rs bot th srv rqrd kowg tht vls obtd o th lbrto of thr wghts wr lss th 0,7 for l. O vltos of thl blty of Mss lbortors old b sfl for th dtors hkg th vls of obtd o rot lbrto srvs. 6. Rfrs [1]. OIML, R111 Itrtol Rodto N 111 -Wghts of lsss E 1, E, F 1, F, M 1, M, M 3, []. OIML, R33 Itrtol Rodto N 33 Covtol l of th rslt of wghg r", [3]. Bh W., 1990, rs, Covrs d Rstrts ss trology, Mtrolog 7, (1990). [4]. OIML, Drft Itrtol Rodto N Wghts of lsss E 1, E, F 1, F, M 1, M, M 3,(ldg wghts for tstg of hgh ty wghg hs) Prt :1 Mtrologl d Thl Rqrts- Fbrry 000. [5]. BIPM, IEC, IFCC, ISO, IPAC, IPAP, OIML, Gd to th rsso of rtty srt" Corrtd d rrtd, [6]. Wolfg Wögr -Rrks o th E - Crtro sd Msrt Corso, PTB-Mttlg 109 1/99, Itrtol Zsrbt. [7]. Ero oorto for Ardtto of Lbortors -EAL Itrlbortory Corsos- (Mrh 1996). Cott Prso for Pr: M. S. Ls Or Brr Addrss: k. 4,5 Crrtr los Cés Mo. El Mrqés; Qrétro, Méo C.P F: (+5) Pho: (+5) to 04 t l: lbrr@. 309

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