Convert rotational speed (RPM) to linear speed (m/s) with the calculator below. Enter any two values (RPM, radius, or linear speed) to compute the third using v = 2πr·(RPM/60). Units for speed and radius are supported for convenience.

RPM To M/S Converter

↔ Switch to M/S to RPM
Radius
Diameter
Machining

Enter any 2 values to calculate the missing variable

RPM to m/s Formula

v \;=\; \frac{2\pi r \cdot \mathrm{RPM}}{60}
\quad\quad
\mathrm{RPM} \;=\; \frac{60\,v}{2\pi r}

To convert RPM to m/s, multiply RPM by the circumference (2πr) and divide by 60. To convert m/s to RPM, multiply by 60 and divide by 2πr. Ensure radius is in meters and linear speed is in m/s for direct use of the formulas.

Representative RPM → Linear Speed
RPM Radius (m) Speed (m/s) Speed (mph)
101.00001.04722.3425
301.00003.14167.0276
601.00006.283214.0552
1201.000012.566428.1105
3001.000031.415970.2762
6001.000062.8319140.5523
10001.0000104.7198234.2539
30001.0000314.1593702.7617
* 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.

  1. Given RPM = 120 rpm and radius r = 0.25 m.
  2. Use the formula v = 2πr·(RPM/60).
  3. Plug in values: v = 2π(0.25)·(120/60) = 2π(0.25)·2 = π ≈ 3.1416 m/s.
  4. The result is 3.1416 m/s.