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

Convert radians per second to revolutions per minute (rpm): 1 rad/s = 9.5493 rpm. Exact conversion factor, formula, 22-row table and worked examples, with JSON API and MCP access.

Formula

1 rad/s = 9.5493 rpm

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

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

Radians per second to revolutions per minute (rpm) conversion table

Radians per second (rad/s)Revolutions per minute (rpm) (rpm)
19.5493
219.0986
328.6479
438.1972
547.7465
657.2958
766.8451
876.3944
985.9437
1095.493
15143.239
20190.986
25238.732
30286.479
40381.972
50477.465
75716.197
100954.93
2001909.86
2502387.32
5004774.65
10009549.3

FAQ

How many revolutions per minute (rpm) are in one radian per second?

1 rad/s = 9.5493 rpm. 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 radians per second to revolutions per minute (rpm)?

Multiply the value in radians per second by 9.549296586: revolutions per minute (rpm) = radians per second × 9.549296586. For example, 5 rad/s = 47.7465 rpm.

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

Multiply by the inverse factor 0.1047197551 (radians per second = revolutions per minute (rpm) × 0.1047197551), or use the revolutions per minute (rpm)-to-radians per second page.

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