Enter the linear speed in meters per second and the diameter in meters into the calculator to convert linear speed to revolutions per minute (RPM).

M/S to RPM Formula

The following formula is used to convert linear speed to RPM.

RPM = frac{Linear Speed}{pi times Diameter} times 60

Variables:

  • RPM is the rotational speed in revolutions per minute
  • Linear Speed is the linear velocity in meters per second (m/s)
  • Diameter is the diameter of the rotating object in meters

To convert linear speed to RPM, divide the linear speed by the product of pi and the diameter of the rotating object, then multiply by 60 to convert from revolutions per second to revolutions per minute.

What is Linear Speed?

Linear speed is the distance an object travels in a given unit of time. It is often measured in meters per second (m/s) in the metric system. Linear speed is directly related to the rotational speed when considering a point on the circumference of a rotating object.

How to Calculate RPM from M/S?

The following steps outline how to convert linear speed to RPM.

  1. First, determine the linear speed in meters per second (m/s).
  2. Next, determine the diameter of the rotating object in meters.
  3. Use the formula RPM = (Linear Speed / (π × Diameter)) × 60.
  4. Finally, calculate the RPM (revolutions per minute).
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Linear Speed (m/s) = 5

Diameter (meters) = 0.5