Question

Which is greater the angular velocity of the hour hand of a watch for angular velocity of earth around its own axis?

Answer 1

· Hour-hand of a watch completes one rotation in 12 hours, while earth completes one rotation in 24 hours. So angular velocity of hour-hand is double the angular velocity of the earth. This is because ω = 2 π T , where T is the time taken to complete one rotation and ω is the angular velocity.

Answer 2

Answer➡
Hour hand of a watch or a clock turns 1 complete circle in 12 hours.  Its angular velocity = 2 π / 12 hours = π/6 radians / hour

Angular velocity of revolution of earth around its own axis = 2π / 24 hours
      = π/12 radians / hour

So the angular velocity of the Hours hand in a watch is more than that of the Earth about its own axis.