Convert Cycles Per Second to Radians Per Second

Enter your cycle per second value in the form below to get the value calculated in radians per second.

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Results in Radians Per Second:
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1 cps = 6.283185 rad/s

How to Convert Cycles Per Second to Radians Per Second

Convert cycles per second to radians per second with this simple formula:

radians per second = cycles per second × 6.283185

Converting a cycle per second frequency measurement to a radian per second measurement involves multiplying the frequency by the conversion ratio to find the result. One cycle per second is equal to 6.283185 radians per second, so to convert simply multiply by 6.283185.

For example:
5 cps = (5 × 6.283185) = 31.415927 rad/s

Cycles per second and radians per second are both units used to measure frequency. Learn more about frequency and find more frequency measurement conversion calculators. Cycles per second are a frequency measurement and can be abbreviated as cps, for example 1 cps. Radians per second are a frequency measurement and can be abbreviated as rad/s, for example 1 rad/s.

Convert Radians Per Second to Cycles Per Second

Cycle Per Second Measurements and Equivalent Radian Per Second Conversions

Common cycle per second values converted to the equivalent radian per second value
Cycles Per Second Radians Per Second
1 cps 6.2832 rad/s
2 cps 12.57 rad/s
3 cps 18.85 rad/s
4 cps 25.13 rad/s
5 cps 31.42 rad/s
6 cps 37.7 rad/s
7 cps 43.98 rad/s
8 cps 50.27 rad/s
9 cps 56.55 rad/s
10 cps 62.83 rad/s
11 cps 69.12 rad/s
12 cps 75.4 rad/s
13 cps 81.68 rad/s
14 cps 87.96 rad/s
15 cps 94.25 rad/s
16 cps 100.53 rad/s
17 cps 106.81 rad/s
18 cps 113.1 rad/s
19 cps 119.38 rad/s
20 cps 125.66 rad/s
21 cps 131.95 rad/s
22 cps 138.23 rad/s
23 cps 144.51 rad/s
24 cps 150.8 rad/s
25 cps 157.08 rad/s
26 cps 163.36 rad/s
27 cps 169.65 rad/s
28 cps 175.93 rad/s
29 cps 182.21 rad/s
30 cps 188.5 rad/s
31 cps 194.78 rad/s
32 cps 201.06 rad/s
33 cps 207.35 rad/s
34 cps 213.63 rad/s
35 cps 219.91 rad/s
36 cps 226.19 rad/s
37 cps 232.48 rad/s
38 cps 238.76 rad/s
39 cps 245.04 rad/s
40 cps 251.33 rad/s

More Cycle Per Second Frequency Conversions

Frequency
Convert to Hertz
1 cps is equal to 1 hertz
Convert to Kilohertz
1 cps is equal to 0.001 kilohertz
Convert to Megahertz
1 cps is equal to 1.0E-6 megahertz
Convert to Gigahertz
1 cps is equal to 1.0E-9 gigahertz
Convert to Terahertz
1 cps is equal to 1.0E-12 terahertz
Rotational Frequency
Convert to Revolutions Per Minute
1 cps is equal to 60 revolutions per minute
Angular Frequency
Convert to Degrees Per Second
1 cps is equal to 360 degrees per second