Question

What is angular displacement in radian of a second hand of a clock in $10$ second ?

Answer 1

Angular displacement in 60 second = $2\pi$

Angular displacement in 1 second = $\frac{2\pi }{60}=\frac{\pi }{30}rad$

Angular displacement in 10 second=$\frac{\pi }{30}\times 10=\frac{\pi }{3}rad.$

Hence, angular displacement in radian of a second hand of a clock in 10 second is $\frac{\pi }{3}rad.$