Question

What is the angular velocity of the second hand, minute hand, and hour hand of a clock?

Answer 1

the angular velocity of second hand of a clock is 0.03 rad /s

Answer 2

Answer:

• The angular velocity of the second hand is  0.104 rad/s.
• The angular velocity of the minute hand is 1.745×$10^{-3}$rad/s.
• The angular velocity of the hour hand is 1.454×$10^{-4}$rad/s.

Explanation:

Angular velocity is defined as the time rate at which an object undergoes rotational motion about an axis or the rate of change of angular displacement of a body.

• The second hand of the clock completes one rotation in 60 seconds.

        Angular velocity (ω)=θ/T

                 ω = 2π÷60

                 ω = 0.105 rad/s.

• The minute hand of the clock completes one rotation in 60 minutes that is 3600 seconds.

          Angular velocity (ω)=θ/T

                   ω = 2π÷3600

                   ω = 1.745×$10^{-3}$rad/s.

• The hour hand of the clock completes one rotation in 12 hours that is 21600 seconds.

             Angular velocity (ω)=θ/T

                    ω = 2π÷21600

                    ω = 1.454×$10^{-4}$rad/s.