Angular & Linear Speed Converter

This unified calculator converts between revolutions per minute (RPM), angular speed ω (radians/second), and linear speed v (meters/second) for a point rotating at a constant distance R from the center. Select a mode below to specify which value you know, then enter it along with the radius.

From RPM

\[ \omega = \frac{2\pi \times \text{RPM}}{60} \quad \text{(rad/s)} \] \[ v = \omega \times R \quad \text{(m/s)} \]

From ω or v

\[ \text{RPM} = \frac{\omega \times 60}{2\pi} \] \[ v = \omega \times R \quad \Longleftrightarrow \quad \omega = \frac{v}{R} \]
Point P rotating around center O with radius R

Point P rotates around O at constant speed

All-in-One Motion Calculator

Select mode, enter your known value and radius, then click Calculate.
Select Mode Choose what you know:
Mode 1: Given RPM | Calculate: Angular speed ω and Linear speed v

Results

104.72 rev/min
104.72 rad/s
10.47 m/s
ω = (2π × 1000)/60 = 104.72 rad/s

About the calculations

More References