Calculate distance from RPM, diameter, and time or reverse-solve RPM, wheel size, or travel time with unit conversion, slip correction, and linear speed.
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RPM to Distance Formula
The following formula gives travel distance with no rolling loss, using wheel or roller RPM, wheel diameter and elapsed time in matching units. With the optional travel-loss setting, multiply this ideal distance by (1 − loss percentage / 100). This defines a fractional travel reduction, not a universal tire-slip convention.
- Where Drpm is the RPM to Distance (inches)
- RPM is the total rotations per minute (rpm)
- WD is the wheel diameter (inches)
- T is the time (min)
To calculate distance from RPM, multiply the RPM by pi times the wheel diameter times the time.
| RPM | Distance in 1 minute (m) |
|---|---|
| 1 | 2.075 |
| 5 | 10.374 |
| 10 | 20.747 |
| 15 | 31.121 |
| 20 | 41.494 |
| 25 | 51.868 |
| 30 | 62.241 |
| 40 | 82.988 |
| 50 | 103.735 |
| 60 | 124.482 |
| 75 | 155.603 |
| 90 | 186.724 |
| 100 | 207.471 |
| 120 | 248.965 |
| 150 | 311.206 |
| 180 | 373.447 |
| 200 | 414.942 |
| 240 | 497.930 |
| 300 | 622.412 |
| 360 | 746.895 |
| * Rounded to 3 decimals. Assumes wheel diameter D = 26 in and time T = 1.0 min. Formula: distance = RPM × π × D × 0.0254 (m). | |
How to Calculate RPM to Distance?
The following example problems outline how to calculate RPM to Distance.
Example Problem #1
- First, determine the total rotations per minute (rpm).
- The total rotations per minute (rpm) is calculated to be 500.
- Next, determine the wheel diameter (inches).
- The wheel diameter (inches) is measured to be 3.5.
- Next, determine the time (min).
- The time (min) is found to be 1.5.
- Finally, calculate the RPM to Distance using the formula above:
Drpm = RPM * pi*WD*T
The values given above are inserted into the equation below and the solution is calculated:
Drpm = 500 * pi*3.5*1.5 = 8246.68 (inches)
Example Problem #2
The variables needed for this problem are provided below:
total rotations per minute (rpm) = 300
wheel diameter (inches) = 2
time (min) = 30
This example problem is a test of your knowledge on the subject. Use the calculator above to check your answer.
Drpm = RPM * pi*WD*T = (inches)
