Question

A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

Answer 1

Number of revolutions in one minute = 360 revolutions

Number of revolutions in 60 seconds

= 360 revolutions

Number of revolutions in 1 second

= $\frac{360}{60}$ = 6 revolutions

Angle made by wheel in 6 revolutions

= ${360}^0\times 6={2160}^0$

Now ${2160}^0={\left(2160\frac{\pi }{180}\right)}^C=(12\pi {)}^C$