How to Calculate Angular Velocity of Minute Hand of a Clock

What is the angular velocity of the minute hand of a clock?

The angular velocity of the minute hand of a clock is 0.1047 radians per minute. What is angular velocity?

Angular Velocity of Minute Hand of a Clock

The angular velocity of the minute hand of a clock is a fascinating concept. Let's dive into the details!

The angular velocity of the minute hand of a clock refers to the rate of change of the angular position of the minute hand with respect to time. In this case, the angular velocity is 0.1047 radians per minute, indicating the speed at which the minute hand moves around the clock face.

Angular velocity is a vector quantity represented by the symbol ω, measured in radians per second (rad/s). It not only has magnitude but also direction, signifying the direction of rotation. The formula to calculate angular velocity is given as:

Angular velocity = Angular displacement / Time taken

For the minute hand of a clock, it completes one full revolution in 60 minutes or 3600 seconds. Since one complete circle is equivalent to 2π radians, the angular displacement of the minute hand is 2π radians. Therefore, the time taken for the minute hand to complete one revolution is 3600 seconds.

By substituting the values into the formula, we can calculate the angular velocity of the minute hand:

Angular velocity = 2π / 3600 radians per second
Angular velocity = 1 / 300 radians per second
Angular velocity = 0.1047 radians per minute

Therefore, the angular velocity of the minute hand of a clock is 0.1047 radians per minute, showcasing the speed at which the minute hand sweeps through each minute of the day!