Convert RPM to linear speed in m/s using wheel, pulley, roller, or tool radius or diameter, or solve for RPM or size with metric and imperial units.
RPM to m/s Formula
v = (2π r × RPM) / (60) RPM = (60 v) / (2π r)
To convert RPM to m/s, multiply RPM by the circumference (2Ï€r) and divide by 60. To convert m/s to RPM, multiply by 60 and divide by 2Ï€r. Ensure radius is in meters and linear speed is in m/s for direct use of the formulas.
| RPM | Radius (m) | Speed (m/s) | Speed (mph) |
|---|---|---|---|
| 10 | 1.0000 | 1.0472 | 2.3425 |
| 30 | 1.0000 | 3.1416 | 7.0276 |
| 60 | 1.0000 | 6.2832 | 14.0552 |
| 120 | 1.0000 | 12.5664 | 28.1105 |
| 300 | 1.0000 | 31.4159 | 70.2762 |
| 600 | 1.0000 | 62.8319 | 140.5523 |
| 1000 | 1.0000 | 104.7198 | 234.2539 |
| 3000 | 1.0000 | 314.1593 | 702.7617 |
| * v = 2πr·(RPM/60). mph = m/s × 2.23694. Values rounded to 4 decimals. Table shown for r = 1 m. | |||
Example Problem
Use the following example problem to compare with the output from the calculator above and confirm the results.
- Given RPM = 120 rpm and radius r = 0.25 m.
- Use the formula v = 2πr·(RPM/60).
- Plug in values: v = 2π(0.25)·(120/60) = 2π(0.25)·2 = π ≈ 3.1416 m/s.
- The result is 3.1416 m/s.
