Convert Degrees Per Second to Radians Per Second

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

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Results in Radians Per Second:
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1 °/s = 0.017453 rad/s

How to Convert Degrees Per Second to Radians Per Second

To convert a degree per second measurement to a radian per second measurement, multiply the frequency by the conversion ratio. One degree per second is equal to 0.017453 radians per second, so use this simple formula to convert:

radians per second = degrees per second × 0.017453

The frequency in radians per second is equal to the degrees per second multiplied by 0.017453.

For example, here's how to convert 5 degrees per second to radians per second using the formula above.
5 °/s = (5 × 0.017453) = 0.087266 rad/s

Degrees per second and radians 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.

Radians Per Second

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

Radians per second can be abbreviated as rad/s, for example 1 radian per second can be written as 1 rad/s.

Degree Per Second Measurements and Equivalent Radian Per Second Conversions

Common degree per second values converted to the equivalent radian per second value
Degrees Per Second Radians Per Second
1 °/s 0.017453 rad/s
2 °/s 0.034907 rad/s
3 °/s 0.05236 rad/s
4 °/s 0.069813 rad/s
5 °/s 0.087266 rad/s
6 °/s 0.10472 rad/s
7 °/s 0.122173 rad/s
8 °/s 0.139626 rad/s
9 °/s 0.15708 rad/s
10 °/s 0.174533 rad/s
11 °/s 0.191986 rad/s
12 °/s 0.20944 rad/s
13 °/s 0.226893 rad/s
14 °/s 0.244346 rad/s
15 °/s 0.261799 rad/s
16 °/s 0.279253 rad/s
17 °/s 0.296706 rad/s
18 °/s 0.314159 rad/s
19 °/s 0.331613 rad/s
20 °/s 0.349066 rad/s
21 °/s 0.366519 rad/s
22 °/s 0.383972 rad/s
23 °/s 0.401426 rad/s
24 °/s 0.418879 rad/s
25 °/s 0.436332 rad/s
26 °/s 0.453786 rad/s
27 °/s 0.471239 rad/s
28 °/s 0.488692 rad/s
29 °/s 0.506145 rad/s
30 °/s 0.523599 rad/s
31 °/s 0.541052 rad/s
32 °/s 0.558505 rad/s
33 °/s 0.575959 rad/s
34 °/s 0.593412 rad/s
35 °/s 0.610865 rad/s
36 °/s 0.628319 rad/s
37 °/s 0.645772 rad/s
38 °/s 0.663225 rad/s
39 °/s 0.680678 rad/s
40 °/s 0.698132 rad/s

More Degree Per Second Frequency Conversions

Frequency
Convert to Hertz
1 °/s is equal to 0.002778 hertz
Convert to Kilohertz
1 °/s is equal to 2.7778E-6 kilohertz
Convert to Megahertz
1 °/s is equal to 2.7778E-9 megahertz
Convert to Gigahertz
1 °/s is equal to 2.7778E-12 gigahertz
Convert to Terahertz
1 °/s is equal to 2.7778E-15 terahertz
Angular Frequency
Convert to Cycles Per Second
1 °/s is equal to 0.002778 cycles per second
Convert to Revolutions Per Minute
1 °/s is equal to 0.166667 revolutions per minute