Convert Revolutions Per Minute [rpm] To Kilometers Per Hour [km/h ...
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Convert any value from / to revolutions per minute [rpm] to kilometers per hour [km/h], 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] kilometers per hour [km/h] km/hFormulas
- Convert rpm to km/h
- Convert km/h to rpm
Explanation
The angular velocity of the wheel (in rpm) can be converted into \( m.s^{-1} \) thanks to the following formula:
$$ v_{(m.s^{-1})} = r \times \omega_{(rad.s^{-1})} = r \times \frac {2 \pi }{60}.N_{(rpm)} $$
It becomes easy to convert this linear velocity expressed in \(m.s^{-1} \) into \(km.h^{-1} \) thanks to the following formula:
$$ v_{ (km.h^{-1}) } = \frac {3600}{1000}.v_{(m.s^{-1})} = 3.6 \times v_{(m.s^{-1})}$$
By merging the two previous equations, we can deduce the relationship between revolution per minute [rpm] and kilometers per hour [km/h]:
$$ v_{ (km.h^{-1}) } = \frac {3600}{1000} \times r \times \frac {2 \pi }{60}.N_{(rpm)} = \frac {3}{25}. \pi. r . N_{(rpm)} $$
et vice versa:
$$ N_{(rpm)} = \frac {25} { 3. \pi . r} v_{(km.h^{-1})} $$
See also
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- Convert kilometers per hour [km/h] to radians per second [rad/s] and vice-versa
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- Convert radians per second [rad/s] to miles per hour [mph] and vice-versa
- Convert revolutions per minute [rpm] to radians per second [rad/s] and vice-versa
- Convert revolutions per second [rps] to radians per second [rad/s] and vice-versa
- Convert radians [rad] to degrees [°] and vice-versa
- Convert revolution per minute [rpm] to miles per hour [mph] and vice-versa
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- Convert revolutions per minute [rpm] to meters per second [m/s] and vice-versa
- Convert revolutions per second [rps] to meters per second [m/s] and vice-versa
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