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

R â†’ 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

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.

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}
= â€¦â€¦â€¦â€¦â€¦â€¦â€¦.. 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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