Question

There is a uniform circular disc of mass 10 kg
& radius 2 metre. Calculate the radius of
gyration if it is rotating about an axis
passing through its centre and perpendicular
to its plane.​

Answer 1

Answer:

Moment of inertia I=

2

mr

2

=

2

10×0.2

2

=0.2 kgm

2

Angular acceleration α=

I

τ

=

0.2

10

=50 rad/s

2

Initial angular velocity w

i

=0

Using w

f

=w

i

+αt

Or w

f

=0+50×6=300 rad/s