Question

Calculate the angel velocity of the hour hand of a clock

Answer 1

The angular velocity is independent of the clock size, however for larger clocks the linear velocity

of the pointers at the end of the hands will be greater.

The second hand goes through 2π radians in 1 min, or 2π radian/60 seconds,

so ω = π/30 rad.s-1 = 0.03 rad.s-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.