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.

Results in Radians Per Second:

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