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The document outlines procedures for measuring the diameter of small spherical or cylindrical bodies using vernier calipers and screw gauges. It details the necessary materials, methods for obtaining accurate measurements, and calculations for determining the mean diameter and volume of the wire. Key considerations include avoiding undue pressure, ensuring proper alignment to prevent parallax errors, and recording observations with correct significant figures.
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To mesure the diameter of «smal pherical/oindical body wsng veer
) Le
 
PARATUS AND MATERIAL REQUIRED
\emier Calipers spherical body (a pendulum bob or a glass mabe) ora smal (i
liner,
Ltacony
1k Vernier constant =1 MSD —1.VSD
Magne ofthe smallest main scale division
 
 
or Vernier constant =‘hays 2 vst CMS
  
 
te iene a ne
Lrociovs
1 Eeamiehe ein of
‘ er calipers he vernie scale mt sing ameothy over the
main sce ap mac
Uppese,
stant of the vem ealpes. Reel
1 Bring the movable fs RE cle clack wih he fs jaes AC Obmeve wheter the revo of
Sema Esak Shines withthe zea fain sal thin st sn oe the divishon on the veer
SOL IRa gins with division onthe ra sae, Rew! the vo ero wth a proper poate
cr pogatine gh Repeat lt hte tims and lad the maa re ctor and hence set cere Te
Cis hee ne sera von eon al
 
2 Determine the vere,
 
epi in the bservatons
 
4 Te messe the diame of the small phere, bit ery te without any inde pressure
inbetween the lover jas snd Basson i Fig 29, The aws sdb pert peepee
hs chameter ating meant Gani hte th screw § tm clamp Uh je te dy
5 Nove the main scale alvin st the la the zero of the NeeRctaake. Recon the verlet
scale ison tht evinces sith some main wale dissin. Thc mnt he courte oes on
ce ofthe semier sale They lve diameters Nea VEL
5 Rotate the pervs fa ty poston thug Aso that diame 2 6 peepee othe
awe Proceting a in sep 5, note Ie mln sete rang and the Semi scale eset ant fe he
thservet diameter Mt
7. Measure the dames
sith of the spe
 
 
 
 
 
ral Ain to mutually perpendicular ditetions or atest to mare
er,
Reco al the servations In the tabular frm. Find the mean observed dhametet, Apply 2er0
‘rection to pet the mean coreced diameter Expresate result in suitable unite wits ata
ume of sagitcant Figures
Losseavations ano carcuLations
‘AcTor vemier constant
 
 
1 main scale division (MSD) = 1 mm ~0.1 em
IWYS0 =9 MSD
ysp-2Msp
1ys0-3
Veer comtant= 1MSD -1 VSD =1 MSD- 2 s150-= 1
  
=O mm =001 emDenvorne 44 NC
oy i) em
Om we 0 eae ype ld
 
 
Mea ren eton fe) a eee
 
Moan ror omni =
 
spheres
 
he sm
 
To mossure the dlameter
he ov iameter ofthe small sphere/evlinder
    
 
 
      
 
 
   
 
      
 
 
 
 
 
a a aor dr peipendicular damete ‘Observed diameter
[es eg ane oo? | ek an pedi erate
sae non [we | Marte | uae | uae | ay PPE ye 2
i atm | te ton
rT]
|
Ls L
BaP
Namatrere tater (fy)=2LEE Pa ee
Mean cored damett =D, 4(29= om
[eesuir
Diameter ofthe given sphemeylinder = em
1 Neer sl ie sy oe tema seat not 9 aply machine ofa,
‘cnr should be carefully determined and recosded.
 
2 The serie vnsant and ze
23. The ody should be jrippe! gen between the jaws without any undue pressure,
+ To avoid any eror due to parallax, the eye should he hept directly over the verier division being
observed
5. The readings for diameter at each position must be noted in two mutually perpendicular directions,
6 Each observation should be recorded with correct significant figures and units,
 
oer
1 Te jv oft vem pers yal be perpendear a he sn ele
2 Mewonsrank nm teins
2. Theseus ney eee
The 20 ert hinmen uy have Ben en nt aecune
5 Foon err do nadine neg he cerns malt te re
a reEXPERIMENT
Lou &
To measure the diameter ofa given wire using a serew gouge and to find its volume,
Screw gauge a thin metal: wite and & met sete
1 Pia
Distance moved by the screw othe ar se
Nube ono aula cle
 
Feet Total quam of divisins. the ica wal
& To
 
 eading = LS + CSR» Least cut = M+ Least cin
4 Volume o the wine=net=n( 2)
 
Loncram
 
7.27 Measig ant of wegen gg
Leroccoure
1 First check thatthe rachetR on the head ofthe screw is functioning propedy
“To find the pitch
2 Note the value of one small division on the linear scale.
Gis our cpr rans at de nt eh ding nth
5. Calculate pitch ofthe screw as follows :
_ Distance moved by thereon thee ele
‘Pach =" Numb of rotations ofthe creuarsele— °% P~
 
BsusTo find the least count
‘6 Note the total mamber of divisions the cela sae then
 
 
Tia number of dvsions on the eur ake
Toi the nro ero
7 Bing the std and the screw ofthe screw gauge i cnt with each eter
(0) I the zero mark ofthe ccular cle cies withthe reference ine then record the 20
(0) he ero mark ofthe crculr sae divisions teow the reerence ine (a, ond, ed,
‘etn ef i rr pa cans eth oe nes keh on ear pe
the Zev mask of the icles fs vino lave the reference ine i, 9th 8h
{78 Fc division of Ue cca scale cnc with he relerence ie) then he 29 Fe
 
Zen
 
wees
ample divsiom canes with the rere ie then
‘measure diameter ofthe thin wire - ‘
 
 
 
ick and inst the wite bene the sree ar he stud. Mave the senew forward
sng the rachel the we
      
nd the Hinge state sipping over the exp.
5 Note the lncar scale reading UM) and dhe numberof division ofthe cieular sale hat eoindes
withthe eerence ise. Then find the obwerved diameter a
a =LSR + CSR =M e wae
10. The wire may not have uniform area of cross-section. To make comrecion for rotate the wie
steough 9° by holding itn same postion asim sep 9 Fd the diameter Bo he wie i he
perpendicular position, as shown im Tig, 39.
Mh The wire may not be exacly
cylindrical. To make cretion for
‘ove measure dlameter ofthe ite
tn wo) mutually perpendicular
lectins at fae more places along
the length ofthe wie
12 Take the mean of the diferent
values of diameters 50 obtained.
‘Add sero correction, if any, with
Proper sign get the comected
alte ofthe diameter of the wie.
“To measure length of the wire
1. Straighten the wire by removing kinks, if any, fom it
|. Sertch the wite along the length of a metre scale, Read the
‘between the readings gives the length of the
 
 
  
  
 
 
 
 
 
  
 
 
iran id mea emg) ofthe wieLorstavanions
‘Aor pitch and east count
 
Linear ditance menedbythesre" gg. poem
PAC ro tne en tila Se ae
 
 
1. For zero conection
  
   
     
  
  
  
  
 
|
soko circult scale esbeow/sbowe the refereeing, |
  
 
 
 
ao roe 603 i est cd 1 prope gn of mo era
C For mesroremen of ameter ofthe wie
 
 
 
 
 
Length ofthe wire (y= ean
Mean length, 1th“
|nw CANCE
 
om!
 
The diameter of the given wire ax meumered ley were gauge = ih
 
The volume of thir given wire «___ cm?
 
 
   
 
Jhet and nit Frode the cap seas to avoid
 
2. Thesscrew must alway be rutated by holeling it fram:
any undue presstine«
as-soan as the rachet starts producing clicking sound.
oper sigh and taken into account. If these is
    
the sre a stopp
   
any. should be noted carefully with
W shoud be recorded as mil
 
   
 
         
st lash ero the serew sould always (nthe same direction while making the
6. The diameter of the wire should be measured in twin mally perpendicular directions # five
dittrent places along the length of the wie
   
View all the rewings keeping the eye pespenndicular to the scale to avo wero cue to paral,
A. Belore measuring the length af the wire, remave the kinks in it if any.
 
 
   
 
[sources oF ERaon
1. The cross-section af the wire may not be uniform,
2. Error due to backlash though minimised but cannot be completely eliminated
2. The graduations on the finwar scale and the circular scale may not be evenly marked.
the rachet arrangement és sot functioning properly, the nelie pressure on the wire may charge
its diameter
wa te we