Radians per second to Revolutions per minute Converter
Quick answer: To convert radians per second to revolutions per minute, multiply by 9.549297. For example, 10 rad/s is 95.49297 rpm. One radian per second equals 9.549297 rpm.
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Use the Radians per second to Revolutions per minute Converter
Radians per second to Revolutions per minute formula and what each symbol means
rpm = rad/s × 9.549297
| Symbol | Meaning |
|---|---|
| rad/s | Radian per second |
| rpm | Revolution per minute |
Radians per second to Revolutions per minute examples
1 rad/s
1 rad/s × 9.549297 = 9.549297 rpm.
10 rad/s
10 rad/s × 9.549297 = 95.49297 rpm.
100 rad/s
100 rad/s × 9.549297 = 954.9297 rpm.
Radians per second compared with Revolutions per minute
One rad/s is 9.549 times as large as one rpm, so your number gets bigger when you convert radians per second to revolutions per minute and smaller when you convert back. If the answer is not larger than what you typed, you divided instead of multiplying.
About radians per second and revolutions per minute
Radian per second (rad/s): The SI unit of angular velocity: an angle of one radian turned each second. Revolution per minute (rpm): Revolutions per minute, the usual rating for engines, motors and drives.
How to calculate Radians per second to Revolutions per minute step by step
- Enter the value in rad/s (the starting unit).
- Multiply by 9.549297, because 1 rad/s = 9.549297 rpm.
- The product is the value in rpm. To go back, divide by 9.549297 or multiply by 0.1047198.
Popular angular velocity conversions
How to read your Radians per second to Revolutions per minute result
Quick estimate: multiply by about 9.5 to get revolutions per minute from radians per second; this is within 0.6% of the exact factor. Divide rad/s by 2π to get revolutions per second, and multiply by 60 for rpm.
| RADIANS PER SECOND | REVOLUTIONS PER MINUTE |
|---|---|
| 1 | 9.549297 |
| 2 | 19.09859 |
| 5 | 47.74648 |
| 10 | 95.49297 |
| 20 | 190.9859 |
| 50 | 477.4648 |
| 100 | 954.9297 |
| 1,000 | 9,549.297 |
Revolutions per minute to Radians per second: quick table
| REVOLUTIONS PER MINUTE | RADIANS PER SECOND |
|---|---|
| 1 | 0.1047198 |
| 5 | 0.5235988 |
| 10 | 1.047198 |
| 25 | 2.617994 |
| 50 | 5.235988 |
| 100 | 10.47198 |
| 250 | 26.17994 |
| 500 | 52.35988 |
Common mistakes when calculating Radians per second to Revolutions per minute
- Forgetting that trigonometric functions in most software expect radians, not degrees.
- Dividing when you should multiply: from rad/s to rpm multiply by 9.549297; from rpm to rad/s divide by 9.549297.
Radians per second to Revolutions per minute FAQ
How many rpm are in 1 rad/s?
1 rad/s equals 9.549297 rpm.
How many rad/s are in 1 rpm?
1 rpm equals 0.1047198 rad/s.
Is 1 rad/s = 9.549297 rpm an exact conversion?
The factor is shown rounded to 7 significant figures (9.549297). The calculator above uses more digits.
What is a radian per second (rad/s)?
The SI unit of angular velocity: an angle of one radian turned each second.
How can I estimate radians per second to revolutions per minute in my head?
Quick estimate: multiply by about 9.5 to get revolutions per minute from radians per second; this is within 0.6% of the exact factor.
What is 30 rad/s in revolutions per minute?
30 rad/s = 286.4789 rpm (since 30 × 9.549297).
What is 150 rad/s in revolutions per minute?
150 rad/s = 1,432.394 rpm (since 150 × 9.549297).
What is 0.5 rad/s in revolutions per minute?
0.5 rad/s = 4.774648 rpm (since 0.5 × 9.549297).
How many decimals should I keep when converting rad/s to rpm?
Match the precision of your original measurement. For example, 95.49297 rpm rounds to 95.5 rpm at 3 significant figures; keep more digits only for engineering or scientific work.
More in Angular Velocity converters
- Degrees per second to Revolutions per minute Converter
- Revolutions per minute to Revolutions per second Converter
- Degrees per second to Radians per second Converter
- Revolutions per second to Degrees per second Converter
- Revolutions per second to Radians per second Converter
- Revolutions per second to Revolutions per minute Converter
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Method, review and disclaimer
Edited by: Hemant Kumar and Anjita Rai, founders of ToolsVault (SEO and content professional, not a licensed adviser). Method: this tool runs in your browser using the formula shown on this page; the numbers you enter are not sent to our servers. Sources: NIST SP 811, Appendix B.8: conversion factors, BIPM: the International System of Units (SI)