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Revolutions per minute (rpm) to Radians per second (rpm to rad/s)

Convert revolutions per minute (rpm) to radians per second: 1 rpm = 0.10472 rad/s. Exact conversion factor, formula, 22-row table and worked examples, with JSON API and MCP access.

Formula

1 rpm = 0.10472 rad/s

radians per second = revolutions per minute (rpm) × 0.1047197551 — reverse: revolutions per minute (rpm) = radians per second × 9.549296586

The factor is derived from the SI definitions of both units (base unit: Hz) as listed in NIST SP 811; results on this page are shown to 6 significant figures, the API returns up to 12.

Worked examples

Revolutions per minute (rpm) to radians per second conversion table

Revolutions per minute (rpm) (rpm)Radians per second (rad/s)
10.10472
20.20944
30.314159
40.418879
50.523599
60.628319
70.733038
80.837758
90.942478
101.0472
151.5708
202.0944
252.61799
303.14159
404.18879
505.23599
757.85398
10010.472
20020.944
25026.1799
50052.3599
1000104.72

FAQ

How many radians per second are in one rpm?

1 rpm = 0.10472 rad/s. The factor comes from the SI definitions of both units (NIST SP 811 / BIPM), so it is exact or correct to at least 10 significant figures.

What is the formula to convert revolutions per minute (rpm) to radians per second?

Multiply the value in revolutions per minute (rpm) by 0.1047197551: radians per second = revolutions per minute (rpm) × 0.1047197551. For example, 5 rpm = 0.523599 rad/s.

How do I convert radians per second back to revolutions per minute (rpm)?

Multiply by the inverse factor 9.549296586 (revolutions per minute (rpm) = radians per second × 9.549296586), or use the radians per second-to-revolutions per minute (rpm) page.

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