NicheCalcs

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.