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Question

A uniform circular disc of mass 200 g and radius 4.0 cm is rotated about one of its diameter at an angular speed of 20 rad/s. Find its angular momentum about the axis of rotation.


Correct Answer
A
160×105 rad/s
Your Answer
B
8.0×105 rad/s
Your Answer
C
4.0×105 rad/s
Your Answer
D
10×105 rad/s

Solution

The correct option is A 160×105 rad/s
The moment of inertia of the circular disc about its diameter is
I=14Mr2=14(0.200kg)(0.04m)2
=8.0×105kgm2.
and the angular momentum about the axis of rotation is
L=Iω=(8.0×105kgm2)(20 rad/s)

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