Question

the angular speed of the hour hand of a clock is

Answer 1

The minute takes one hour = 60 s/min × 60 min = 3600 s to go around, so ω = 2π / 3600 rad.s-1 = 1.7 × 10-3 rad.s-1. The hour hand takes 12 hours = 12 hours × 60 min/hour × 60 s/min = 43200 s to do 2π radians, so ω = 2π rad/43200 s = 1.5 × 10-4 rad.s-1. What is the angular velocity of the second hand?

Answer 2

6.28rad/rev * 2rev = 12.56 rad.

12.56rad/24h * 1h/3600s = 1.45*10^-4 rad/s.