final group report 1

8/17/2019 Final Group Report 1

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University of Santo Tomas

Faculty of Engineering

1st sem AY 2015-2016

Experiment No. 1

Measurement: Vernier Caliper an Micrometer Caliper

Section: 2-16

!roup No.: 5

"eaer: Joven, Genesis

Mem#ers: Jurado, Dominik

Kimizuka, Syo Lao, o!

Lo!os, "ei#

$nstructor: $s% Jay-Anne A#e&o



$. %#&ectives

1. 'o !e (ami#iar )it* t*e vernier and mi+rometer +a#iers%

'. 'o use t*ese instruments in measurements o( various #ent*s%

$$. (iscussion of )elate *+ysics Concept

$easurement is an intera# art o( s+ien+e% .t is +onsists o( a manitude and t*eunit o( measurement% /e measure *ysi+a# uantities !ased on a +ertain standard% '*ese

standards s*ou#d !e +onsistent and +ou#d !e du#i+ated !y ot*er o!servers so t*at

a++ura+y and re#ia!i#ity o( measurement are assured% '*e !ase units +an !e used eit*ert*e .nternationa# System o( nits S.3 or t*e 4n#is* System in eressin t*e said

measurement% $easurements are un+ertain !e+ause measurin instrument are never

+om#ete#y (ree o( (#a)s and a#)ays invo#ves estimation% 4stimation deends on t*e

instrument you are usin and t*ese instruments are eit*er diita# or ana#o% 4ven t*ou*measurements are un+ertain, it must !e re#ia!#e as ossi!#e and one )ay o( doin t*at is

to reeat t*e measurement severa# times% A re#ia!#e instrument )i## a#)ays ive a!out t*e

same resu#t under t*e same +onditions and )*en it does, t*e measurement is re+ise%

Anot*er )ay o( +*e+kin t*e measurements re#ia!i#ity is to test it aainst a standard ora++eted va#ue and a measurement is said to !e a++urate i( it is +#ose to t*e a++eted

va#ue%

$$$. Set,up

'oo#s sed7

8ernier 9a#ier $i+rometer 9a#ier

:!;e+ts sed79u!e - A#uminum

S*ere - .ron

9y#inder - <rassDis+ - Stee#



$V. (ata an )esults

Cu#e Sp+ere Cyliner (isc

Trial Sie -s (iameter - (iameter -/eig+t -+ %uter

(iameter

-o

$nner

(iameter

-in

/eig+t -+

$ 15%65mm 1=%6 mm 12%>? mm 50%06 mm =0%0@ mm ?%= mm 1%5? mm

$$ 15%66 mm 1=%55 mm 12%65 mm 50%06 mm =0%0 mm ?%> mm 1%6 mm

$$$ 15%66 mm 1=%65 mm 12%>? mm 50%06 mm =0%0 mm ?%> mm 1%6 mm

Mean Value

-cm

1%5? +m 1%=6 +m 1%2> +m 5%006 +m =%00@ +m 0%?> +m 0%1 +m

Mass -g 10%?@ 2=%2= 52% 5?%@>

(ensity

-g0cm

2%? B+m@ ?%=5 B+m@ =%5 B+m@ ?%= B+m@

Volume

-cm

expt.

@%=?+m@ @%@? +m@ 6%5 +m@ 6%> +m@

Volume

-cm t+eo

5%>? +m @ @%60 +m@ 6%1? +m@ ?%@6 +m@

2 error 2%52 C 6%@= C 5%>>C 6%25 C

89<4 S@ @%5?3@ @%=?+m@

8'E4: massBdensity 10%?@B2%?

@%>?B+m@

C4 F8'E4: 84HIF3 B 8'E4:3 100

F@%>? @%=?F3 B @%>?3 100

2%52C

89YL."D4 d2* B 1%2>2 5%0063 B

6%5 +m@

8'E4: massBdensity 52% B =%5 6%1? B+m@

C4 F8'E4: 84HIF3 B 8'E4:3 100

F6%1? 6%5F3 B 6%1?3 100

5%>>C8SIE44 d@ B 6 1%=6@3 B 6

@%@? +m@

8'E4: massBdensity 2=%2= B ?%=5

@%60 +m@

C4 F8'E4: 84HIF3 B 8'E4:3 100

F@%60 @%@?F3 B @%603 100 6%@=C

8D.S9 do2 di

23* B

=%00@2 0%?>230%133 B

6%> +m@

8'E4: massBdensity 5?%@> B ?%= ?%@6 +m@

C4 F8'E4: 84HIF3 B 8'E4:3 100

F?%@6 6%>F3 B ?%@63 100 6%25C



iure 17 L9<4

15%66mm

iure 27 D9YL."D4

12%>?mm

iure @7 E9YL."D4

50%06mm

iure 7 ED.S9 1%5?mm



iure 57 D." D.S9 ?%>mm

iure 67 D: D.S9 =0%0mm

iure ?7 DSIE44 1=%65mm



V. 3nalysis of )esults

'*e data at*ered (rom measurin t*e o!;e+ts, )*i+* are t*e a#uminum +u!e,

!rass +y#inder, +oer dis+ and iron s*ere, )ere some*o) a++urate and re+ise t*atot a er+ent error ranin !et)een 5C - ?C e+et (or t*e +u!e% '*e a#uminum +u!e

*ad a er+ent error !y 2%52C )*i+* is a++urate enou* to say t*at one o( our

measurements )as ri*t%

V$. 3ns4ers to 5uestions

1. 6+y are several trials ta7en for eac+ measurement8

Severa# tria#s )ere taken (or ea+* measurement in order (or us to *ave a more

a++urate and re+ise measurement !e+ause not a## measurements taken are not a+tua##y

a++urate and re+ise% .n order to et t*e +orre+t data, )e need t*e most a++urate and

re+ise measurements as ossi!#e t*at is )*y )e taken severa# tria#s (or ea+*measurement%

'. 6+at is t+e smallest part of a mm t+at can #e estimate using t+e Vernier caliper

an t+e micrometer caliper8

'*e sma##est art o( a mi##imeter t*at +an !e estimated is 0%001 mm )*i+* is onemi+rometer and t*at is )*y it is +a##ed a mi+rometer +a#ier% '*e 8ernier +a#ier, in t*e

ot*er *and, +an measure u to 0%02 mm or 0%002 +m%

. 6+y is t+e micrometer caliper use instea of t+e Vernier caliper in measuring

iameter8

<ot* +an measure diameters, t*e mi+rometer +an measure sma## diameters and t*e8ernier +an measure !ier diameters% <ut t*e mi+rometer is a !etter too# in measurin

too# (or measurin diameters (or it a#ies more ris to t*e o!;e+t, se+i(i+a##y a s*ere

)*i+* tends to ro##, makin it se+ure and ti*t (or you to read t*e s+a#e )it*out t*e o!;e+t

movin around%

Vernier

No.

Total No.

of Vernier(ivisions

)eaing on Main Scale No. of t+e Vernier

(ivision Coinciing4it+ t+e Main Scale

(ivision

$nicate

)eaing9ust #efore t+eVernier ero

9ust after t+eVernier ero

3 1; ' mm '< mm =.> 2@%=6 mm

? 1@ .@ in .> in > @%5 in

C '@ @.' in @.''@ in 1< 5%21 in

( ; 1A.@ cm 1A.<; cm '< 1?%@> m

<. !iven t+e ata for t+e various Vernier an main scalesB etermine t+e inicate

reaings of t+e caliper.

V$$. Conclusion

:ur rou +on+#uded t*at a++ura+y and re+ision are t*e !est (a+tors in ettin t*e ri*tmeasurements o( t*at said o!;e+ts% '*e a++ura+y and re+ision o( t*e dataBmeasurements t*at )e

at*ered is *o) )e## )e *and#e t*e too#s in measurin readin t*e s+a#es o( t*e too#Bs used and

+*oosin t*e +orre+t too# (or measurin t*at tye o( measurement% /e a#so test *o) a++ura+y and re+ision +an et its oa# measurement !y takin severa# tria#s o( measurin t*e o!;e+t%



V$$$. )ecommenation -optional

$. )eference

Memansky, et% a#% 1>=?% niversity I*ysi+s, ? t* edition% "e) York7 Addison-/es#ey

Iu!#is*in, 9or%

final group report 1

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