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/sec
B. 5 rad/sec
C. 10 rad/sec
D. 15 rad/sec

Answer

D

Explanation

`tau=1000Nm, I=200kgm^(2)`
`tau=I alphaimplies alpha=(1000)/(200)=5"rad/s"^(2)`
`omega=omega_(0)+alphat=0+5xx3=15` rad/sec .