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.

Options

A. `1 rad s^(-1)`
B. `5 rad s^(-1)`
C. `10 rad s^(-1)`
D. `15 rad s^(-1)`

Answer

D

Explanation

Angular acceleration, `alpha=(tau)/(I)=(1000)/(200)=5 "rad s"^(-2)`
`omega=alphat=(5)(3)=15 "rads"^(-1)`.