Question

A wheel makes $360$ revolutions in one minute. It turns $m\pi$ radians in one second.Find $m$

Answer 1

Number of revolution in $1$ min $=360$

Number of revolutions in $1$ sec $=\frac{360}{60}=6$

In $1$ revolution, angle made $=2\pi radians$

In $6$ revolution, angle made $=6\times 2\pi =12\pi radians$

In $1$ sec, angle made by wheel $m\pi =12\pi$

Hence, $m=12$