Please explain process to convert rpm in to kmph
To explain the process to convert an angular velocity expressed in rpm into a linear velocity expressed in km/h, let's consider the following vehicle:
- The radius of the wheels is
, expressed in meters [m].
- The angular velocity of the wheels is
expressed in revolution per minute [rpm].
- The linear velocity of the vehicle is
, expressed in kilometres per hour [km/h].
Angular velocity N represents the number of turn during one minute. To get the number of revolution in one second, we just have to divide
The formula to convert linear velocity to angular velocity is given by
By merging step 1 and 2, we get:
To convert m/s to kilometres per hour, we need two arithmetic operations :
- convert seconds to hours (multiply m/s by 3600)
- convert meters to kilometers (divide by 1000)
The formula to convert meters per second to kilometres per hour is given by :
By merging step 1, 2 and 3, we finally get :
The last equation can be simplified:
We get the final formula from rpm to km/h:
Since the diameter of the wheels is twice the radius of the wheels, the last formula can also be expressed as :