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A constant torque of 1000 N-m turns a wh...

A constant torque of `1000 N-m` turns a wheel of moment of inertia `200 kg-m^2` about an axis through its centre. Its angular velocity after `3` seconds is.

A

1 rad/sec

B

5 rad/sec

C

10 rad/sec

D

15 rad/sec

Text Solution

Verified by Experts

The correct Answer is:
D
`tau= 1000 Nm, I= 200 kg m^(2)`
`tau = I alpha rArr alpha= (1000)/(200)= 5 "rad/s"^(2)`
`omega= omega_(0) + alpha t= 0 + 5 xx 3= 15` rad/sec
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