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# Moment of Inertia of a Solid Sphere of Known Mass Using Vernier Caliper

To determine the moment of inertia of a solid sphere of known mass using Vernier caliper

MOMENT OF INERTIA OF A SOLID SPHERE OF KNOWN MASS 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  Id = 2/5 MR2

Where

M → Mass of the sphere ( known value to be given ) in kg

R → Radius of the sphere in metre

## DIAGRAM MSR = 2.2 cm ; VSC = 4 divisions;

Reading = [2.2 cm+(4x0.01cm)] = 2.24 cm

## PROCEDURE

·           The Vernier caliper is checked for zero errors and error if found is to be noted

·           The sphere is kept in between the jaws of the Vernier caliper and the main scale reading (MSR )is noted.

·           Vernier scale division which coincides with some main scale division ( VSD ) is noted. Zero correction made with this VSD gives Vernier scale reading ( VSR ).

·           Multiply this VSR by Least Count (LC) and add it with MSR. This will be the diameter of the sphere.

·           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.

·           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 )         =   1 Main Scale Division (MSD) / Total Vernier scale divisions

= . . . . . . . . . . . . . . cm

## OBSERVATIONS

Zero error             =

Zero correction     = ## CALCULATION

Mass of the sphere M = . . . . . . . . . . . . . kg (Known value is given )

Radius of the sphere R =. . . . . . . . . . . . .metre

Moment of inertia of a solid sphere

about its diameter  Id =  2/5     MR2  = . . . . . . . . . . . . . kg m2

## RESULT

The moment of inertia of the given solid sphere about its diameter using Vernier caliper Id = ………………….. kg m2

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11th Physics : Practical Experiment : Moment of Inertia of a Solid Sphere of Known Mass Using Vernier Caliper | Physics Laboratory Practical Experiment

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