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Two fly wheels A and B are mounted side ...

Two fly wheels A and B are mounted side by side with frictionless bearings on a common shaft. Their moments of inertia about the shaft are 5.0 kg `m^(2)` and 20.0 kg `m^(2)` respectively. Wheel A is made to rotate at 10 revolution per second. Wheel B, initially stationary, is now coupled to A with the help of a clutch. The rotation speed of the wheels will become

A

`2 sqrt5` rps

B

0.5 rps

C

2 rps

D

1 rps

Text Solution

Verified by Experts

The correct Answer is:
C
According to the law of conservation of angular momentum ,
`(5 xx 10) + (20 xx 0) = (5 + 20) omega or omega = (50)/(25) rps = 2rps`
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