What is the angular velocity of a second hand and minute hand of a clock ?

Options

A. `(59pi)/(900) rad//s`
B. `(59pi)/(1800) rad //s`
C. `(59)/(2400) rad//s`
D. `(59pi)/(3600) rad //s`

Answer

B

Explanation

`omega_(s)-omega_(m)=(2pi)/(T_(s))-(2pi)/(T_(m))`
`=2pi[(1)/(60)-(1)/(60xx60)]=2pi[(60xx60-60)/(60xx60xx60)]`
`=2pi[(60-1)/(60xx60xx60)]=(2pixx59)/(60xx60)=(59pi)/(1800)`