To calculate angular velocity from RPM (revolutions per minute), you need to convert RPM to radians per second. The formula for this conversion is as follows:
Angular Velocity (in radians per second) = (2π / 60) * RPM
In this formula, 2π represents the number of radians in one revolution, and dividing by 60 converts minutes to seconds.
Let's say you have an object rotating at 120 RPM. To calculate the angular velocity in radians per second, you would use the formula:
Angular Velocity = (2π / 60) * 120
Simplifying the equation:
Angular Velocity = (2 * 3.14159 / 60) * 120
Angular Velocity ≈ 12.56637 radians per second
Therefore, the angular velocity of the object is approximately 12.56637 radians per second when rotating at 120 RPM.