Degrees Per Second to Cycles Per Second Conversion

Enter the frequency in degrees per second below to get the value converted to cycles per second.

Results in Cycles Per Second:
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1 °/s = 0.002778 cps

How to Convert Degrees Per Second to Cycles Per Second

To convert a degree per second measurement to a cycle per second measurement, divide the frequency by the conversion ratio.

Since one cycle per second is equal to 360 degrees per second, you can use this simple formula to convert:

cycles per second = degrees per second ÷ 360

The frequency in cycles per second is equal to the degrees per second divided by 360.

For example, here's how to convert 500 degrees per second to cycles per second using the formula above.
500 °/s = (500 ÷ 360) = 1.388889 cps

Degrees per second and cycles per second are both units used to measure frequency. Keep reading to learn more about each unit of measure.

Degrees Per Second

Degrees per second are a measure of angular frequency, or rotational speed, equal to the change in orientation or angle of an object in degrees per second.

Degrees per second can be abbreviated as °/s; for example, 1 degree per second can be written as 1 °/s.

In formal expressions, the slash, or solidus (/), is used to separate units used to indicate division in an expression.[1]

Cycles Per Second

Cycles per second are a measure of the number of oscillations, or cycles, that occur per second.

Cycles per second can be abbreviated as cps, and are also sometimes abbreviated as c/s or cycles/second. For example, 1 cycle per second can be written as 1 cps, 1 c/s, or 1 cycles/second.

Cycles per second can be expressed using the formula: cps = Cycles / Times

Degree Per Second to Cycle Per Second Conversion Table

Degree per second measurements converted to cycles per second
Degrees Per Second Cycles Per Second
1 °/s 0.002778 cps
2 °/s 0.005556 cps
3 °/s 0.008333 cps
4 °/s 0.011111 cps
5 °/s 0.013889 cps
6 °/s 0.016667 cps
7 °/s 0.019444 cps
8 °/s 0.022222 cps
9 °/s 0.025 cps
10 °/s 0.027778 cps
20 °/s 0.055556 cps
30 °/s 0.083333 cps
40 °/s 0.111111 cps
50 °/s 0.138889 cps
60 °/s 0.166667 cps
70 °/s 0.194444 cps
80 °/s 0.222222 cps
90 °/s 0.25 cps
100 °/s 0.277778 cps
200 °/s 0.555556 cps
300 °/s 0.833333 cps
400 °/s 1.1111 cps
500 °/s 1.3889 cps
600 °/s 1.6667 cps
700 °/s 1.9444 cps
800 °/s 2.2222 cps
900 °/s 2.5 cps
1,000 °/s 2.7778 cps


  1. National Institute of Standards and Technology, NIST Guide to the SI, Chapter 6: Rules and Style Conventions for Printing and Using Units,

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