Physics Laboratory Practical Experiment - Moment of Inertia of a Solid Sphere of Known Mass Using Vernier Caliper | 11th Physics : Practical Experiment
Chapter: 11th Physics : Practical Experiment
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
A model
reading
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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