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Convert revolutions per minute [rpm] to meters per second [m/s] and vice-versa

Online converter

Convert any value from / to revolutions per minute [rpm] to meters per second [m/s], angular velocity to linear velocity. Fill one of the following fields, values will be converted and updated automatically.

revolutions per minute [rpm]
rpm
radius [m]
radius [m]
meters per second [m/s]
m/s

Formulas

Explanation

Assume an object (or point) attached to a rotating wheel. The angular velocity of the wheel is defined by \( N \) expressed in \( rpm \). The angular velocity of the wheel can be converted to \( rad.s^{-1} \) thanks to the following formula:

$$ \omega_{ (rad.s^{-1}) } = \frac {2\pi}{60}.N_{(rpm)} $$

This also means that the wheel rotates from \( \omega \) radians during one second. During that same second, the attached object (or point) travels a distance of \(r \times \omega \). It implies that the speed of the object is also equal to \(r \times \omega \). The conversion can be done thanks to the following formula:

$$ v_{(m.s^{-1})} = r \times \omega_{(rad.s^{-1})} = r \times \frac {2 \pi }{60}.N_{(rpm)} $$

and vice-versa:

$$ N_{(rpm)} = \frac {60} { 2 \pi \times r} v_{(m.s^{-1})} $$

See also


Last update : 11/25/2019