Question

The difference between angular speed of minute hand and second hand of a clock is

A)59π/900 rad/s

B)59π/1800 rad/s

C)59π/2400 rad/s

D)59π/3600 rad/s

Answer 1

B) is the correct answer 59π/1800 rad/s 

Explanation::

Angular speed of minute hand 

${\omega }_m=\frac{2\pi }{60\times 60}$ 

Angular speed of second hand 

${\omega }_s=\frac{2\pi }{60}$ 

$\therefore {\omega }_m-{\omega }_s=\frac{2\pi }{60}-\frac{2\pi }{60\times 60}$ 

=$\frac{59\pi }{1800}rad/s$