Convert rotations per minute to radians per second (rpm to rad/s)

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

This frequency converter helps you convert rotations per minute to radians per second. Simply enter the value and get instant, accurate results with our free online calculator.

How to Convert rotations per minute to radians per second

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

radians per second = rotations per minute × 0.10471975511966

This means that 1 rotation per minute equals 0.10471975511966 radians per second. Conversely, 1 radian per second equals 9.5492965855137 rotations per minute.

Example Calculation

To convert 10 rotations per minute to radians per second:

10 rpm × 0.10471975511966 = 1.0471975511966 rad/s

Common rotations per minute to radians per second Conversions

  • 10 rpm = 1.0471975511966 rad/s
  • 100 rpm = 10.471975511966 rad/s
  • 500 rpm = 52.35987755983 rad/s
  • 1000 rpm = 104.71975511966 rad/s
  • 2000 rpm = 209.43951023932 rad/s

rotations per minute to radians per second Reference

The conversion ratio between rotations per minute and radians per second is:

  • 1 rpm = 0.10471975511966 rad/s
  • 1 rad/s = 9.5492965855137 rpm

Use this ratio to convert any value between these units.

Common Applications

Converting between rotations per minute and radians per second is frequently needed in:

  • Professional applications
  • Technical documentation
  • Scientific calculations and research
  • Engineering projects

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 rotations per minute to radians per second?

To convert rotations per minute to radians per second, multiply the value by 0.10471975511966. The formula is: radians per second = rotations per minute × 0.10471975511966. For example, 100 rpm = 10.471975511966 rad/s.

How many radians per second are in 1 rotation per minute?

There are 0.10471975511966 radians per second in 1 rotation per minute. This is the standard conversion factor for frequency measurements.

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

The conversion formula is: rad/s = rpm × 0.10471975511966. Simply multiply your rotations per minute value by 0.10471975511966 to get the equivalent in radians per second.

How do you convert radians per second to rotations per minute?

To convert radians per second back to rotations per minute, multiply by 9.5492965855137. The inverse formula is: rotations per minute = radians per second × 9.5492965855137.

Is rotations per minute to radians per second conversion accurate?

Yes, this converter uses the standard international conversion factor of 0.10471975511966, ensuring accurate and reliable results for all frequency conversions.

When should I use rotations per minute vs radians per second?

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

Conversion Table: rotations per minute to radians per second

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

rpmrad/s
0.1 rpm0.010471975511966 rad/s
0.2 rpm0.020943951023932 rad/s
0.3 rpm0.031415926535898 rad/s
0.4 rpm0.041887902047864 rad/s
0.5 rpm0.05235987755983 rad/s
0.6 rpm0.062831853071796 rad/s
0.7 rpm0.073303828583762 rad/s
0.8 rpm0.083775804095728 rad/s
0.9 rpm0.094247779607694 rad/s
rpmrad/s
1 rpm0.10471975511966 rad/s
2 rpm0.20943951023932 rad/s
3 rpm0.31415926535898 rad/s
4 rpm0.41887902047864 rad/s
5 rpm0.5235987755983 rad/s
6 rpm0.62831853071796 rad/s
7 rpm0.73303828583762 rad/s
8 rpm0.83775804095728 rad/s
9 rpm0.94247779607694 rad/s
rpmrad/s
10 rpm1.0471975511966 rad/s
20 rpm2.0943951023932 rad/s
30 rpm3.1415926535898 rad/s
40 rpm4.1887902047864 rad/s
50 rpm5.235987755983 rad/s
60 rpm6.2831853071796 rad/s
70 rpm7.3303828583762 rad/s
80 rpm8.3775804095728 rad/s
90 rpm9.4247779607694 rad/s
rpmrad/s
100 rpm10.471975511966 rad/s
200 rpm20.943951023932 rad/s
300 rpm31.415926535898 rad/s
400 rpm41.887902047864 rad/s
500 rpm52.35987755983 rad/s
600 rpm62.831853071796 rad/s
700 rpm73.303828583762 rad/s
800 rpm83.775804095728 rad/s
900 rpm94.247779607694 rad/s
rpmrad/s
1000 rpm104.71975511966 rad/s
2000 rpm209.43951023932 rad/s
3000 rpm314.15926535898 rad/s
4000 rpm418.87902047864 rad/s
5000 rpm523.5987755983 rad/s
6000 rpm628.31853071796 rad/s
7000 rpm733.03828583762 rad/s
8000 rpm837.75804095728 rad/s
9000 rpm942.47779607694 rad/s
rpmrad/s
10000 rpm1047.1975511966 rad/s
20000 rpm2094.3951023932 rad/s
30000 rpm3141.5926535898 rad/s
40000 rpm4188.7902047864 rad/s
50000 rpm5235.987755983 rad/s
60000 rpm6283.1853071796 rad/s
70000 rpm7330.3828583762 rad/s
80000 rpm8377.5804095728 rad/s
90000 rpm9424.7779607694 rad/s