Revolutions per second to Radians per second Converter
Quick answer: To convert revolutions per second to radians per second, multiply by 6.283185. For example, 10 rev/s is 62.83185 rad/s. One revolution per second equals 6.283185 rad/s.
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Use the Revolutions per second to Radians per second Converter
Revolutions per second to Radians per second formula and what each symbol means
rad/s = rev/s × 6.283185
| Symbol | Meaning |
|---|---|
| rev/s | Revolution per second |
| rad/s | Radian per second |
Revolutions per second to Radians per second examples
1 rev/s
1 rev/s × 6.283185 = 6.283185 rad/s.
10 rev/s
10 rev/s × 6.283185 = 62.83185 rad/s.
100 rev/s
100 rev/s × 6.283185 = 628.3185 rad/s.
Revolutions per second compared with Radians per second
One rev/s is 6.283 times as large as one rad/s, so your number gets bigger when you convert revolutions per second to radians per second and smaller when you convert back. If the answer is not larger than what you typed, you divided instead of multiplying.
About revolutions per second and radians per second
Revolution per second (rev/s): Revolutions per second, numerically equal to frequency in hertz. Radian per second (rad/s): The SI unit of angular velocity: an angle of one radian turned each second.
How to calculate Revolutions per second to Radians per second step by step
- Enter the value in rev/s (the starting unit).
- Multiply by 6.283185, because 1 rev/s = 6.283185 rad/s.
- The product is the value in rad/s. To go back, divide by 6.283185 or multiply by 0.1591549.
Popular angular velocity conversions
How to read your Revolutions per second to Radians per second result
Quick estimate: multiply by about 6.3 to get radians per second from revolutions per second; this is within 0.3% of the exact factor. One full revolution is 2π radians or 360 degrees.
| REVOLUTIONS PER SECOND | RADIANS PER SECOND |
|---|---|
| 1 | 6.283185 |
| 2 | 12.56637 |
| 5 | 31.41593 |
| 10 | 62.83185 |
| 20 | 125.6637 |
| 50 | 314.1593 |
| 100 | 628.3185 |
| 1,000 | 6,283.185 |
Radians per second to Revolutions per second: quick table
| RADIANS PER SECOND | REVOLUTIONS PER SECOND |
|---|---|
| 1 | 0.1591549 |
| 5 | 0.7957747 |
| 10 | 1.591549 |
| 25 | 3.978874 |
| 50 | 7.957747 |
| 100 | 15.91549 |
| 250 | 39.78874 |
| 500 | 79.57747 |
Common mistakes when calculating Revolutions per second to Radians per second
- Treating rpm and rad/s as interchangeable: 1 rad/s is about 9.549 rpm.
- Dividing when you should multiply: from rev/s to rad/s multiply by 6.283185; from rad/s to rev/s divide by 6.283185.
Revolutions per second to Radians per second FAQ
How many rad/s are in 1 rev/s?
1 rev/s equals 6.283185 rad/s.
How many rev/s are in 1 rad/s?
1 rad/s equals 0.1591549 rev/s.
Is 1 rev/s = 6.283185 rad/s an exact conversion?
The factor is shown rounded to 7 significant figures (6.283185). 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 revolutions per second to radians per second in my head?
Quick estimate: multiply by about 6.3 to get radians per second from revolutions per second; this is within 0.3% of the exact factor.
What is 500 rev/s in radians per second?
500 rev/s = 3,141.593 rad/s (since 500 × 6.283185).
What is 15 rev/s in radians per second?
15 rev/s = 94.24778 rad/s (since 15 × 6.283185).
What is 75 rev/s in radians per second?
75 rev/s = 471.2389 rad/s (since 75 × 6.283185).
How many decimals should I keep when converting rev/s to rad/s?
Match the precision of your original measurement. For example, 62.83185 rad/s rounds to 62.8 rad/s at 3 significant figures; keep more digits only for engineering or scientific work.
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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)