Find the angular speed of the hour hand of a clock.

Question

ANSWER: π/6 radian per hour

 

How do you solve this? Do you convert?

Answer 1

On an analog (not digital) clock, the hour hand travels 360°, or 2π radians, in 12 hours.

 

The angular speed is:    360° per 12 hours      or     360°/12 hours    or   30°/hr

          2π radians per 12 hours      or     π radians per 6 hours    or   π/6 radians per hr  or  π/6 radians/hr