Enter the velocity of an object and the diameter of the wheel into the calculator to determine the RPM (revolutions per minute).
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Velocity to RPM Formula
The following formula is used to convert velocity to RPM.
RPM = \frac{V}{\pi \times D} \times 60Variables:
- RPM is the revolutions per minute
- V is the velocity (meters per second)
- D is the wheel diameter (meters)
To convert velocity to RPM, divide the velocity by the product of pi and the wheel diameter, then multiply the result by 60.
| Velocity (m/s) | RPM (rev/min) |
|---|---|
| 0.5 | 15.915 |
| 1 | 31.831 |
| 1.5 | 47.746 |
| 2 | 63.662 |
| 2.5 | 79.577 |
| 3 | 95.493 |
| 4 | 127.324 |
| 5 | 159.155 |
| 7.5 | 238.732 |
| 10 | 318.310 |
| 12 | 381.972 |
| 15 | 477.465 |
| 17.5 | 557.042 |
| 20 | 636.620 |
| 22.5 | 716.197 |
| 25 | 795.775 |
| 27.78 | 884.265 |
| 30 | 954.930 |
| 35 | 1114.085 |
| 40 | 1273.240 |
| * Rounded to 3 decimals. Relationship: RPM = (v × 60) / (2πr). Table assumes r = 0.30 m. | |
What is RPM?
RPM stands for revolutions per minute, and it is a unit of rotational speed or the frequency of rotation around a fixed axis. It measures the number of complete turns a wheel or another object makes in one minute. It is a common unit used in various applications, including automotive, engineering, and industrial machinery.
How to Calculate RPM from Velocity?
The following steps outline how to calculate the RPM from velocity.
- First, determine the velocity (V) in meters per second.
- Next, determine the wheel diameter (D) in meters.
- Next, gather the formula from above = RPM = (V / (π × D)) × 60.
- Finally, calculate the RPM (revolutions per minute).
- 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.
velocity (V) = 15 meters per second
wheel diameter (D) = 0.5 meters