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A solid cylinder of mass 20 kg rotates a...

A solid cylinder of mass 20 kg rotates about its axis with angular speed 100 rad/s. The radius of the cylinder is 0.25 m. What is the kinetic energy associated with the rotation of the cylinder ? What is the magnitude of angular momentum of the cylinder about its axis ?

Text Solution

Verified by Experts

Kinetic energy of rotation `= (1)/(2) I omega^(2)`
`= (1)/(2) ((1)/(2) mr^(2))omega^(2)`
`= (1)/(4) xx 20 xx (0.25)^(2) xx 100 xx 100`
`= (1)/(cancel(4)) xx overset(5)cancel(20) xx 0.0625 xx 10^(4)`
= 3125 J
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