What is RPM to Angular Velocity?
RPM (Revolutions Per Minute) measures rotational speed in everyday terms. Angular velocity, measured in radians per second (rad/s), is the standard physics unit for rotational speed. Converting between the two is essential for engineering, robotics, and physics calculations.
How to Convert RPM to Angular Velocity
[\omega = \frac{\text{RPM} \times 2\pi}{60}]
Where:
- omega (ω) is the angular velocity in radians per second.
- RPM is the rotational speed in revolutions per minute.
- 2π converts revolutions to radians (one full revolution = 2π radians).
- 60 converts minutes to seconds.
Calculation Example
An electric motor runs at 75 RPM.
[\omega = \frac{75 \times 2\pi}{60}]
Step by step:
- 75 x 2 = 150
- 150 x 3.14159 = 471.24
- 471.24 / 60 = 7.854
The angular velocity is approximately 7.854 rad/s.