A constant torque of 1000 N-m, turns á wheel of moment of inertia 200 `kg-m^(2)`about an axis through its centre. Its angular velocity after 3 s is, (in rad/s)

Options

A. 1
B. 5
C. 15
D. 10

Answer

(c)

Explanation

Torque, `tau=1000N-m`
Moment of inertia,
`I=200kgm^(2)`
Time,
`t=3s`
Angular acceleration, `a=(tau)/(I)`
`=(1000)/(200)`
`=5rad//s^(2)`
Angular velocity, `omega=at`
`=5xx3`
`=15 rad//s`.