Revolutions per minute to Radians per second Converter
Quick answer: To convert revolutions per minute to radians per second, multiply by 0.1047198. For example, 10 rpm is 1.047198 rad/s. One revolution per minute equals 0.1047198 rad/s.
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Use the Revolutions per minute to Radians per second Converter
Revolutions per minute to Radians per second formula and what each symbol means
rad/s = rpm × 0.1047198
| Symbol | Meaning |
|---|---|
| rpm | Revolution per minute |
| rad/s | Radian per second |
Revolutions per minute to Radians per second examples
1 rpm
1 rpm × 0.1047198 = 0.1047198 rad/s.
10 rpm
10 rpm × 0.1047198 = 1.047198 rad/s.
100 rpm
100 rpm × 0.1047198 = 10.47198 rad/s.
Revolutions per minute compared with Radians per second
One rad/s is 9.549 times as large as one rpm, so your number gets smaller when you convert revolutions per minute to radians per second and bigger when you convert back. If the answer is not smaller than what you typed, you multiplied instead of dividing.
About revolutions per minute and radians per second
Revolution per minute (rpm): Revolutions per minute, the usual rating for engines, motors and drives. Radian per second (rad/s): The SI unit of angular velocity: an angle of one radian turned each second.
How to calculate Revolutions per minute to Radians per second step by step
- Enter the value in rpm (the starting unit).
- Multiply by 0.1047198, because 1 rpm = 0.1047198 rad/s.
- The product is the value in rad/s. To go back, divide by 0.1047198 or multiply by 9.549297.
Popular angular velocity conversions
How to read your Revolutions per minute to Radians per second result
Quick estimate: multiply by about 0.105 to get radians per second from revolutions per minute; this is within 0.3% of the exact factor. One full revolution is 2π radians or 360 degrees.
| REVOLUTIONS PER MINUTE | RADIANS PER SECOND |
|---|---|
| 1 | 0.1047198 |
| 2 | 0.2094395 |
| 5 | 0.5235988 |
| 10 | 1.047198 |
| 20 | 2.094395 |
| 50 | 5.235988 |
| 100 | 10.47198 |
| 1,000 | 104.7198 |
Radians per second to Revolutions per minute: quick table
| RADIANS PER SECOND | REVOLUTIONS PER MINUTE |
|---|---|
| 1 | 9.549297 |
| 5 | 47.74648 |
| 10 | 95.49297 |
| 25 | 238.7324 |
| 50 | 477.4648 |
| 100 | 954.9297 |
| 250 | 2,387.324 |
| 500 | 4,774.648 |
Common mistakes when calculating Revolutions per minute to Radians per second
- Forgetting that trigonometric functions in most software expect radians, not degrees.
- Dividing when you should multiply: from rpm to rad/s multiply by 0.1047198; from rad/s to rpm divide by 0.1047198.
Revolutions per minute to Radians per second FAQ
How many rad/s are in 1 rpm?
1 rpm equals 0.1047198 rad/s.
How many rpm are in 1 rad/s?
1 rad/s equals 9.549297 rpm.
Is 1 rpm = 0.1047198 rad/s an exact conversion?
The factor is shown rounded to 7 significant figures (0.1047198). The calculator above uses more digits.
What is a revolution per minute (rpm)?
Revolutions per minute, the usual rating for engines, motors and drives.
How can I estimate revolutions per minute to radians per second in my head?
Quick estimate: multiply by about 0.105 to get radians per second from revolutions per minute; this is within 0.3% of the exact factor.
What is 80 rpm in radians per second?
80 rpm = 8.37758 rad/s (since 80 × 0.1047198).
What is 500 rpm in radians per second?
500 rpm = 52.35988 rad/s (since 500 × 0.1047198).
What is 15 rpm in radians per second?
15 rpm = 1.570796 rad/s (since 15 × 0.1047198).
How many decimals should I keep when converting rpm to rad/s?
Match the precision of your original measurement. For example, 1.047198 rad/s rounds to 1.05 rad/s at 3 significant figures; keep more digits only for engineering or scientific work.
More in Angular Velocity converters
- Revolutions per second to Radians per second Converter
- Revolutions per second to Revolutions per minute Converter
- Radians per second to Degrees per second Converter
- Degrees per second to Revolutions per second Converter
- Degrees per second to Radians per second Converter
- Degrees 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)