How many radians per second are in one degree per second?

There are 0.017453292519943 radians per second in one degree per second. This means 1 deg/s equals 0.017453292519943 rad/s.

What is the formula for degrees per second to radians per second?

The conversion formula is: radians per second = degrees per second × 0.017453292519943. Simply multiply your value in degrees per second by 0.017453292519943 to get the result in radians per second.

Convert degrees per second to radians per second (deg/s to rad/s)

Use this tool to convert between frequency units like millihertz, hertz, kilohertz etc.

Amount

From

0.17453292519943

Result

Use this calculator to convert degrees per second (deg/s) to radians per second (rad/s) with ease. Get accurate frequency conversions instantly.

How to Convert degrees per second to radians per second

Converting degrees per second to radians per second is straightforward. The conversion formula is:

radians per second = degrees per second × 0.017453292519943

This means that 1 degree per second equals 0.017453292519943 radians per second. Conversely, 1 radian per second equals 57.295779513083 degrees per second.

Example Calculation

To convert 10 degrees per second to radians per second:

10 deg/s × 0.017453292519943 = 0.17453292519943 rad/s

Common degrees per second to radians per second Conversions

10 deg/s = 0.17453292519943 rad/s
50 deg/s = 0.87266462599715 rad/s
100 deg/s = 1.7453292519943 rad/s
500 deg/s = 8.7266462599715 rad/s
1000 deg/s = 17.453292519943 rad/s

Conversion Facts

1 degree per second equals 0.017453292519943 radians per second
1 radian per second equals 57.295779513083 degrees per second
Formula: Multiply degrees per second by 0.017453292519943 to get radians per second

Common Applications

Converting between degrees per second and radians per second is frequently needed in:

Technical documentation
Scientific calculations and research
Engineering projects
Educational purposes and learning

Whether you're working on a professional project or need conversions for everyday tasks, this frequency converter provides accurate results instantly.

Frequently Asked Questions

How do you convert degrees per second to radians per second?

To convert degrees per second to radians per second, multiply the value by 0.017453292519943. The formula is: radians per second = degrees per second × 0.017453292519943. For example, 100 deg/s = 1.7453292519943 rad/s.

How many radians per second are in 1 degree per second?

There are 0.017453292519943 radians per second in 1 degree per second. This is the standard conversion factor for frequency measurements.

What is the formula for converting deg/s to rad/s?

The conversion formula is: rad/s = deg/s × 0.017453292519943. Simply multiply your degrees per second value by 0.017453292519943 to get the equivalent in radians per second.

How do you convert radians per second to degrees per second?

To convert radians per second back to degrees per second, multiply by 57.295779513083. The inverse formula is: degrees per second = radians per second × 57.295779513083.

Is degrees per second to radians per second conversion accurate?

Yes, this converter uses the standard international conversion factor of 0.017453292519943, ensuring accurate and reliable results for all frequency conversions.

When should I use degrees per second vs radians per second?

degrees per second and radians per second are different units of frequency. Use degrees per second for various applications and radians per second for various applications.

Quick Reference - deg/s to rad/s

Quick reference table showing common degrees per second to radians per second conversions. Use this chart for fast lookups of frequently used values.

deg/s	rad/s
0.1 deg/s	0.0017453292519943 rad/s
0.2 deg/s	0.0034906585039887 rad/s
0.3 deg/s	0.005235987755983 rad/s
0.4 deg/s	0.0069813170079773 rad/s
0.5 deg/s	0.0087266462599716 rad/s
0.6 deg/s	0.010471975511966 rad/s
0.7 deg/s	0.01221730476396 rad/s
0.8 deg/s	0.013962634015955 rad/s
0.9 deg/s	0.015707963267949 rad/s

deg/s	rad/s
1 deg/s	0.017453292519943 rad/s
2 deg/s	0.034906585039887 rad/s
3 deg/s	0.05235987755983 rad/s
4 deg/s	0.069813170079773 rad/s
5 deg/s	0.087266462599716 rad/s
6 deg/s	0.10471975511966 rad/s
7 deg/s	0.1221730476396 rad/s
8 deg/s	0.13962634015955 rad/s
9 deg/s	0.15707963267949 rad/s

deg/s	rad/s
10 deg/s	0.17453292519943 rad/s
20 deg/s	0.34906585039887 rad/s
30 deg/s	0.5235987755983 rad/s
40 deg/s	0.69813170079773 rad/s
50 deg/s	0.87266462599716 rad/s
60 deg/s	1.0471975511966 rad/s
70 deg/s	1.221730476396 rad/s
80 deg/s	1.3962634015955 rad/s
90 deg/s	1.5707963267949 rad/s

deg/s	rad/s
100 deg/s	1.7453292519943 rad/s
200 deg/s	3.4906585039887 rad/s
300 deg/s	5.235987755983 rad/s
400 deg/s	6.9813170079773 rad/s
500 deg/s	8.7266462599716 rad/s
600 deg/s	10.471975511966 rad/s
700 deg/s	12.21730476396 rad/s
800 deg/s	13.962634015955 rad/s
900 deg/s	15.707963267949 rad/s

deg/s	rad/s
1000 deg/s	17.453292519943 rad/s
2000 deg/s	34.906585039887 rad/s
3000 deg/s	52.35987755983 rad/s
4000 deg/s	69.813170079773 rad/s
5000 deg/s	87.266462599716 rad/s
6000 deg/s	104.71975511966 rad/s
7000 deg/s	122.1730476396 rad/s
8000 deg/s	139.62634015955 rad/s
9000 deg/s	157.07963267949 rad/s

deg/s	rad/s
10000 deg/s	174.53292519943 rad/s
20000 deg/s	349.06585039887 rad/s
30000 deg/s	523.5987755983 rad/s
40000 deg/s	698.13170079773 rad/s
50000 deg/s	872.66462599716 rad/s
60000 deg/s	1047.1975511966 rad/s
70000 deg/s	1221.730476396 rad/s
80000 deg/s	1396.2634015955 rad/s
90000 deg/s	1570.7963267949 rad/s