Question:
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
Solution:
Number of revolutions made by the wheel in 1 minute = 360
\thereforeNumber of revolutions made by the wheel in 1 second $=\frac{360}{60}=6$
In one complete revolution, the wheel turns an angle of $2 \pi$ radian.
Hence, in 6 complete revolutions, it will turn an angle of $6 \times 2 \pi$ radian, i.e.,
$12 \pi$ radian
Thus, in one second, the wheel turns an angle of $12 \pi$ radian
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.