Degrees per second to Revolutions per minute Converter
Quick answer: To convert degrees per second to revolutions per minute, multiply by 0.1666667. For example, 10 °/s is 1.666667 rpm. One degree per second equals 0.1666667 rpm.
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Use the Degrees per second to Revolutions per minute Converter
Degrees per second to Revolutions per minute formula and what each symbol means
rpm = °/s × 0.1666667
| Symbol | Meaning |
|---|---|
| °/s | Degree per second |
| rpm | Revolution per minute |
Degrees per second to Revolutions per minute examples
1 °/s
1 °/s × 0.1666667 = 0.1666667 rpm.
10 °/s
10 °/s × 0.1666667 = 1.666667 rpm.
100 °/s
100 °/s × 0.1666667 = 16.66667 rpm.
Degrees per second compared with Revolutions per minute
One rpm is 6 times as large as one °/s, so your number gets smaller when you convert degrees per second to revolutions per minute and bigger when you convert back. If the answer is not smaller than what you typed, you multiplied instead of dividing.
About degrees per second and revolutions per minute
Degree per second (°/s): Degrees turned each second; 360 °/s is one revolution per second. Revolution per minute (rpm): Revolutions per minute, the usual rating for engines, motors and drives.
How to calculate Degrees per second to Revolutions per minute step by step
- Enter the value in °/s (the starting unit).
- Multiply by 0.1666667, because 1 °/s = 0.1666667 rpm.
- The product is the value in rpm. To go back, divide by 0.1666667 or multiply by 6.
Popular angular velocity conversions
How to read your Degrees per second to Revolutions per minute result
Quick estimate: multiply by about 0.17 to get revolutions per minute from degrees per second; this is within 2.0% of the exact factor. Divide rad/s by 2π to get revolutions per second, and multiply by 60 for rpm.
| DEGREES PER SECOND | REVOLUTIONS PER MINUTE |
|---|---|
| 1 | 0.1666667 |
| 2 | 0.3333333 |
| 5 | 0.8333333 |
| 10 | 1.666667 |
| 20 | 3.333333 |
| 50 | 8.333333 |
| 100 | 16.66667 |
| 1,000 | 166.6667 |
Revolutions per minute to Degrees per second: quick table
| REVOLUTIONS PER MINUTE | DEGREES PER SECOND |
|---|---|
| 1 | 6 |
| 5 | 30 |
| 10 | 60 |
| 25 | 150 |
| 50 | 300 |
| 100 | 600 |
| 250 | 1,500 |
| 500 | 3,000 |
Common mistakes when calculating Degrees per second to Revolutions per minute
- Treating rpm and rad/s as interchangeable: 1 rad/s is about 9.549 rpm.
- Dividing when you should multiply: from °/s to rpm multiply by 0.1666667; from rpm to °/s divide by 0.1666667.
Degrees per second to Revolutions per minute FAQ
How many rpm are in 1 °/s?
1 °/s equals 0.1666667 rpm.
How many °/s are in 1 rpm?
1 rpm equals 6 °/s.
Is 1 °/s = 0.1666667 rpm an exact conversion?
The factor is shown rounded to 7 significant figures (0.1666667). 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 degrees per second to revolutions per minute in my head?
Quick estimate: multiply by about 0.17 to get revolutions per minute from degrees per second; this is within 2.0% of the exact factor.
What is 150 °/s in revolutions per minute?
150 °/s = 25 rpm (since 150 × 0.1666667).
What is 0.5 °/s in revolutions per minute?
0.5 °/s = 0.08333333 rpm (since 0.5 × 0.1666667).
What is 25 °/s in revolutions per minute?
25 °/s = 4.166667 rpm (since 25 × 0.1666667).
How many decimals should I keep when converting °/s to rpm?
Match the precision of your original measurement. For example, 1.666667 rpm rounds to 1.67 rpm at 3 significant figures; keep more digits only for engineering or scientific work.
More in Angular Velocity converters
- Revolutions per second to Revolutions per minute Converter
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- Revolutions per minute to Radians per second 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)