USING VERNIER CALIPER AIM To determine the moment of inertia of a solid sphere of known mass using Vernier caliper APPARATUS REQUIRED Vernier caliper, Solid sphere FORMULA Moment of inertia of a solid sphere about its diameter I d = MR kgm Where M → Mass of the sphere ( known value to be given ) in kg R → Radius of the sphere in metre DIAGRAM (d) Vernier reading A model reading MSR = . cm ; VSC = divisions; Reading = [ . cm+(4x0.01cm)] = . cm Vernier Caliper (a) No error Main Scale Vernier Scale (b) +ve error of + .
cm (c) –ve error of - . cm UNIT- (XI- - ) PRACTICAL FIRST UNIT- (XI- - ) PRACTICAL FIRST - - - - Practical PROCEDURE ¾ The Vernier caliper is checked for zero errors and error if found is to be noted. ¾ The sphere is kept in between the jaws of the Vernier caliper and the main scale reading (MSR )is noted. ¾ Vernier scale division which coincides with some main scale division ( VSC ) is noted.
Multiply this VSC by least count (LC) gives Vernier scale reading ( VSR ). ¾ Add MSR with VSR. This will be the diameter of the sphere. ¾ Observations are to be recorded for different positions of the sphere and the average value of the diameter is found.
From this value radius of the sphere R is calculated. ¾ Using the known value of the mass of the sphere M and calculated radius of the sphere R the moment of inertia of the given sphere about its diameter can be calculated using the given formula. LEAST COUNT ( LC ) One main scale division (MSD) = . .
. cm Number of Vernier scale divisions = . . .
. . . Least Count ( LC ) = Main Scale Division (MSD) Total Vernier scale divisions