To calculate the Angular Velocity (ω):
\[ \omega = \frac{\text{RPM} \times 2 \times \pi}{60} \]
Where:
Angular velocity measures the rate of rotation of an object, typically expressed in radians per second. RPM is a measure of rotations per minute, which is also an angular velocity. To convert RPM to the typical units of angular velocity, multiply the RPM by two times pi, then divide by 60.
Let's assume the following values:
Using the formula:
\[ \omega = \frac{120 \times 2 \times \pi}{60} = 12.57 \, \text{rad/s} \]
The Angular Velocity is 12.57 rad/s.
Let's assume the following values:
Using the formula:
\[ \omega = \frac{240 \times 2 \times \pi}{60} = 25.13 \, \text{rad/s} \]
The Angular Velocity is 25.13 rad/s.
