Linear to Rotational Speed Calculator
Use this calculator to convert linear speed (meters per second) into rotational speed (RPM or radians per second) based on the radius of the rotating element.
What this calculator is doing
This calculator converts a given linear speed \( v \) (in meters per second) and radius \( r \) (in meters) into the equivalent rotational speed in either RPM (revolutions per minute) or rad/s (radians per second). This is useful for designing wheels, pulleys, or shafts that must produce a certain linear motion. The core formulas used are: \[ \omega = \frac{v}{r} \] where: - \( \omega \) = angular velocity (rad/s) - \( v \) = linear speed (m/s) - \( r \) = radius (m) If RPM is required, it is calculated as: \[ N = \frac{\omega \times 60}{2 \pi} \] where: - \( N \) = rotational speed in RPM. This tool helps engineers convert between motion types when designing conveyors, rollers, drive wheels, or rotating arms in mechatronic systems.
Looking for similar calculators?
Check out the following calculators as well! They provide similar solutions to this one.
Want to reuse this calculator?
You can embed this calculator to your own website using the following endpoint: https://www.nichecalcs.com/embed/linear_to_rotational_speed
Find out more about our Services
Disclaimer: These calculators are provided for informational purposes only. Always verify your designs against relevant engineering standards and consult a qualified professional. We do not take responsibility for any errors or damages resulting from the use of these calculations.