What are the angular velocities of a second hand, minute hand and hour hand of a clock ?

Explanation

Second hand of a clocj completes one rotation in ` 60 seconds` . So ` T =60 s, theta = 2 pi ` rad.
` omega = (theta)/T = (2 pi) /(60) = (pi) /(30) rad//s `
For minute hand of a clock,
` T =60 min =60 xx 60 s = 3600 s`
` omega = (2 pi)/(3600) = (pi)/(1800) rad//s`
For hour hand of a clock,
` T = 12 h= 12 xx 60 xx 60 s`
` omega = (2 pi)/(12 xx 60 xx 60) = (pi) /(21600) rad//s`.