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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 â†’ Mass of the sphere ( known value to be given ) in kg

R â†’ Radius of the sphere in metre

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

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

## PROCEDURE

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

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

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

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

Â·           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.

Â·           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 = â€¦â€¦â€¦â€¦â€¦â€¦â€¦.. 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