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**

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

Vernier
caliper, Solid sphere

Moment of
inertia of a solid sphere about its diameter
I_{d} = 2/5 MR^{2}

Where

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

R → Radius
of the sphere in metre

A model
reading

MSR = 2.2
cm ; VSC = 4 divisions;

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

·
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.

One main
scale division (MSD) = . . . . . . . . . . . . . . . cm

Number of
Vernier scale divisions = . . . . . .

Least
Count ( LC ) = 1 Main Scale Division (MSD) / Total Vernier
scale divisions

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

Zero error =

Zero
correction =

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 I_{d} = 2/5 MR^{2} = . . . . . . . . . . . . . kg m^{2}

The moment
of inertia of the given solid sphere about its diameter using Vernier caliper I_{d}
= ………………….. kg m^{2}

Tags : Physics Laboratory Practical Experiment , 11th Physics : Practical Experiment

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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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