Question

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

Answer 1

Step 1:
Given:
Number of revolutions made by the wheel in $1$ minute = $360$
$\therefore$ Number of revolutions made by the wheel in $1$ second
$=\frac{360}{60}=6$

Step 2: Simplify for number of radians
In one complete revolution , the wheel turns an angle of $2\pi$ radians.
Hence, in $6$ complete revolution, it will turn an angle of $6\times 2\pi$ radians = $12\pi$ radians
It will turn an angle of $12\pi$ radian.