Calculate the angular velocity of the minute hand of a clock.
V = 1rev/h * 6.28rad/rev * (1/60)h/min
= 0.1047rad/min.
To calculate the angular velocity of the minute hand of a clock, we need to know the time it takes for the minute hand to complete one revolution.
The minute hand of a clock completes one revolution in 60 minutes or 1 hour. In a clock, there are 12 divisions on the dial, representing the 12 hours.
To calculate the angular velocity, we need to convert the time from hours to minutes. Since there are 60 minutes in an hour, the minute hand takes 60 minutes to complete one revolution.
Angular velocity (ω) is defined as the change in angle (θ) per unit time (t). In this case, the angle is 360 degrees (or 2π radians), and the time is 60 minutes.
Angular velocity (ω) = θ / t
Substituting the values, we have:
Angular velocity (ω) = 360 degrees / 60 minutes
Simplifying further:
Angular velocity (ω) = 6 degrees/minute
Therefore, the angular velocity of the minute hand of a clock is 6 degrees/minute.