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

Options

A. `(59pi)/(900)rads^(-1)`
B. `(59pi)/(1800)rads^(-1)`
C. `(59pi)/(2400)rads^(-1)`
D. `(59pi)/(3600)rads^(-1)`

Answer

B

Explanation

Angular speed of minute hand
`omega_m=360^@perhour`
`=(360xxpi/180)perhour`
`(2pi)/3600rad//s`
`" "[because1^@=pi/180rad an1h=3600s]`
angular speed of second hand , `omega_s=360^@par,minute =(2pi)/(60)rad//s`
`therefore` Difference between angular speeds of minute hand and seconds hand of a clock =`omega_m=omega_s`
`=(2pi)/3600-(2pi)/(60)=-(59pi)/(1800)`
`Difference between omega_mand omega_sis (59pi)/1800rad//s`