Radians per second to Revolutions per second Converter
Quick answer: To convert radians per second to revolutions per second, multiply by 0.1591549. For example, 10 rad/s is 1.591549 rev/s. One radian per second equals 0.1591549 rev/s.
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Use the Radians per second to Revolutions per second Converter
Radians per second to Revolutions per second formula and what each symbol means
rev/s = rad/s × 0.1591549
| Symbol | Meaning |
|---|---|
| rad/s | Radian per second |
| rev/s | Revolution per second |
Radians per second to Revolutions per second examples
1 rad/s
1 rad/s × 0.1591549 = 0.1591549 rev/s.
10 rad/s
10 rad/s × 0.1591549 = 1.591549 rev/s.
100 rad/s
100 rad/s × 0.1591549 = 15.91549 rev/s.
Radians per second compared with Revolutions per second
One rev/s is 6.283 times as large as one rad/s, so your number gets smaller when you convert radians per second to revolutions per second and bigger when you convert back. If the answer is not smaller than what you typed, you multiplied instead of dividing.
About radians per second and revolutions per second
Radian per second (rad/s): The SI unit of angular velocity: an angle of one radian turned each second. Revolution per second (rev/s): Revolutions per second, numerically equal to frequency in hertz.
How to calculate Radians per second to Revolutions per second step by step
- Enter the value in rad/s (the starting unit).
- Multiply by 0.1591549, because 1 rad/s = 0.1591549 rev/s.
- The product is the value in rev/s. To go back, divide by 0.1591549 or multiply by 6.283185.
Popular angular velocity conversions
How to read your Radians per second to Revolutions per second result
Quick estimate: multiply by about 0.16 to get revolutions per second from radians per second; this is within 0.6% of the exact factor. One full revolution is 2π radians or 360 degrees.
| RADIANS PER SECOND | REVOLUTIONS PER SECOND |
|---|---|
| 1 | 0.1591549 |
| 2 | 0.3183099 |
| 5 | 0.7957747 |
| 10 | 1.591549 |
| 20 | 3.183099 |
| 50 | 7.957747 |
| 100 | 15.91549 |
| 1,000 | 159.1549 |
Revolutions per second to Radians per second: quick table
| REVOLUTIONS PER SECOND | RADIANS PER SECOND |
|---|---|
| 1 | 6.283185 |
| 5 | 31.41593 |
| 10 | 62.83185 |
| 25 | 157.0796 |
| 50 | 314.1593 |
| 100 | 628.3185 |
| 250 | 1,570.796 |
| 500 | 3,141.593 |
Common mistakes when calculating Radians per second to Revolutions per second
- Treating rpm and rad/s as interchangeable: 1 rad/s is about 9.549 rpm.
- Dividing when you should multiply: from rad/s to rev/s multiply by 0.1591549; from rev/s to rad/s divide by 0.1591549.
Radians per second to Revolutions per second FAQ
How many rev/s are in 1 rad/s?
1 rad/s equals 0.1591549 rev/s.
How many rad/s are in 1 rev/s?
1 rev/s equals 6.283185 rad/s.
Is 1 rad/s = 0.1591549 rev/s an exact conversion?
The factor is shown rounded to 7 significant figures (0.1591549). The calculator above uses more digits.
What is a revolution per second (rev/s)?
Revolutions per second, numerically equal to frequency in hertz.
How can I estimate radians per second to revolutions per second in my head?
Quick estimate: multiply by about 0.16 to get revolutions per second from radians per second; this is within 0.6% of the exact factor.
What is 75 rad/s in revolutions per second?
75 rad/s = 11.93662 rev/s (since 75 × 0.1591549).
What is 300 rad/s in revolutions per second?
300 rad/s = 47.74648 rev/s (since 300 × 0.1591549).
What is 12 rad/s in revolutions per second?
12 rad/s = 1.909859 rev/s (since 12 × 0.1591549).
How many decimals should I keep when converting rad/s to rev/s?
Match the precision of your original measurement. For example, 1.591549 rev/s rounds to 1.59 rev/s at 3 significant figures; keep more digits only for engineering or scientific work.
More in Angular Velocity converters
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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)