Linear Speed to RPM Calculator

Formula

To calculate the Rotational Speed (RPM) from Linear Speed:

\[ RPM = \frac{\text{Linear Speed}}{\pi \times \text{Diameter}} \times 60 \]

Where:

\(RPM\) is the Rotational Speed in revolutions per minute
\(\text{Linear Speed}\) is the Linear Velocity in meters per second (m/s)
\(\text{Diameter}\) is the Diameter of the rotating object in meters

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.

Example Calculation

Let's assume the following values:

Linear Speed (\(\text{Linear Speed}\)) = 5 m/s
Diameter (\(\text{Diameter}\)) = 0.5 meters

Using the formula:

\[ RPM = \frac{5}{\pi \times 0.5} \times 60 = \frac{5}{1.5708} \times 60 = 190.99 \text{ RPM} \]

The Rotational Speed is 190.99 RPM.