Degrees per second to Revolutions per second Converter

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Quick answer: To convert degrees per second to revolutions per second, multiply by 0.002777778. For example, 10 °/s is 0.02777778 rev/s. One degree per second equals 0.002777778 rev/s.

Use the Degrees per second to Revolutions per second Converter

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

rev/s = °/s × 0.002777778

Symbols used in the formula
SymbolMeaning
°/sDegree per second
rev/sRevolution per second

Degrees per second to Revolutions per second examples

1 °/s

1 °/s × 0.002777778 = 0.002777778 rev/s.

10 °/s

10 °/s × 0.002777778 = 0.02777778 rev/s.

100 °/s

100 °/s × 0.002777778 = 0.2777778 rev/s.

Degrees per second compared with Revolutions per second

One rev/s is 360 times as large as one °/s, so your number gets smaller when you convert degrees 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 degrees per second and revolutions per second

Degree per second (°/s): Degrees turned each second; 360 °/s is one revolution per second. Revolution per second (rev/s): Revolutions per second, numerically equal to frequency in hertz.

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

  1. Enter the value in °/s (the starting unit).
  2. Multiply by 0.002777778, because 1 °/s = 0.002777778 rev/s.
  3. The product is the value in rev/s. To go back, divide by 0.002777778 or multiply by 360.

Popular angular velocity conversions

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

Quick estimate: multiply by about 0.0028 to get revolutions per second from degrees per second; this is within 0.8% of the exact factor. One full revolution is 2π radians or 360 degrees.

DEGREES PER SECONDREVOLUTIONS PER SECOND
10.002777778
20.005555556
50.01388889
100.02777778
200.05555556
500.1388889
1000.2777778
1,0002.777778

Revolutions per second to Degrees per second: quick table

REVOLUTIONS PER SECONDDEGREES PER SECOND
1360
51,800
103,600
259,000
5018,000
10036,000
25090,000
500180,000

Common mistakes when calculating Degrees per second to Revolutions per second

  • Mixing up frequency in hertz (cycles per second) with angular velocity in rad/s, which differs by a factor of 2π.
  • Dividing when you should multiply: from °/s to rev/s multiply by 0.002777778; from rev/s to °/s divide by 0.002777778.

Degrees per second to Revolutions per second FAQ

How many rev/s are in 1 °/s?

1 °/s equals 0.002777778 rev/s.

How many °/s are in 1 rev/s?

1 rev/s equals 360 °/s.

Is 1 °/s = 0.002777778 rev/s an exact conversion?

The factor is shown rounded to 7 significant figures (0.002777778). 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 degrees per second to revolutions per second in my head?

Quick estimate: multiply by about 0.0028 to get revolutions per second from degrees per second; this is within 0.8% of the exact factor.

What is 300 °/s in revolutions per second?

300 °/s = 0.8333333 rev/s (since 300 × 0.002777778).

What is 12 °/s in revolutions per second?

12 °/s = 0.03333333 rev/s (since 12 × 0.002777778).

What is 60 °/s in revolutions per second?

60 °/s = 0.1666667 rev/s (since 60 × 0.002777778).

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

Match the precision of your original measurement. For example, 0.02777778 rev/s rounds to 0.0278 rev/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)