Revolutions per minute to Degrees per second Converter

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Quick answer: To convert revolutions per minute to degrees per second, multiply by 6. For example, 10 rpm is 60 °/s. One revolution per minute equals 6 °/s.

Use the Revolutions per minute to Degrees per second Converter

Revolutions per minute to Degrees per second formula and what each symbol means

°/s = rpm × 6

Symbols used in the formula
SymbolMeaning
rpmRevolution per minute
°/sDegree per second

Revolutions per minute to Degrees per second examples

1 rpm

1 rpm × 6 = 6 °/s.

10 rpm

10 rpm × 6 = 60 °/s.

100 rpm

100 rpm × 6 = 600 °/s.

Revolutions per minute compared with Degrees per second

One rpm is 6 times as large as one °/s, so your number gets bigger when you convert revolutions per minute to degrees 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 minute and degrees per second

Revolution per minute (rpm): Revolutions per minute, the usual rating for engines, motors and drives. Degree per second (°/s): Degrees turned each second; 360 °/s is one revolution per second.

How to calculate Revolutions per minute to Degrees per second step by step

  1. Enter the value in rpm (the starting unit).
  2. Multiply by 6, because 1 rpm = 6 °/s.
  3. The product is the value in °/s. To go back, divide by 6 or multiply by 0.1666667.

Popular angular velocity conversions

How to read your Revolutions per minute to Degrees per second result

So 1 rev/s equals 6.2832 rad/s and 360 °/s, and 1 rpm equals about 0.10472 rad/s and 6 °/s.

REVOLUTIONS PER MINUTEDEGREES PER SECOND
16
212
530
1060
20120
50300
100600
1,0006,000

Degrees per second to Revolutions per minute: quick table

DEGREES PER SECONDREVOLUTIONS PER MINUTE
10.1666667
50.8333333
101.666667
254.166667
508.333333
10016.66667
25041.66667
50083.33333

Common mistakes when calculating Revolutions per minute to Degrees per second

  • Treating rpm and rad/s as interchangeable: 1 rad/s is about 9.549 rpm.
  • Dividing when you should multiply: from rpm to °/s multiply by 6; from °/s to rpm divide by 6.

Revolutions per minute to Degrees per second FAQ

How many °/s are in 1 rpm?

1 rpm equals 6 °/s.

How many rpm are in 1 °/s?

1 °/s equals 0.1666667 rpm.

Is 1 rpm = 6 °/s an exact conversion?

The factor is shown rounded to 7 significant figures (6). The calculator above uses more digits.

What is a degree per second (°/s)?

Degrees turned each second; 360 °/s is one revolution per second.

How can I estimate revolutions per minute to degrees per second in my head?

One rpm is 6 times as large as one °/s, so your number gets bigger when you convert revolutions per minute to degrees per second and smaller when you convert back. If the answer is not larger than what you typed, you divided instead of multiplying.

What is 250 rpm in degrees per second?

250 rpm = 1,500 °/s (since 250 × 6).

What is 7 rpm in degrees per second?

7 rpm = 42 °/s (since 7 × 6).

What is 40 rpm in degrees per second?

40 rpm = 240 °/s (since 40 × 6).

How many decimals should I keep when converting rpm to °/s?

Match the precision of your original measurement. For example, 60 °/s rounds to 60 °/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)