Convert radians per second to hertz (rad/s to Hz)

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

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

How to Convert radians per second to hertz

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

hertz = radians per second × 0.1591549430919

This means that 1 radian per second equals 0.1591549430919 hertz. Conversely, 1 hertz equals 6.2831853071794 radians per second.

Example Calculation

To convert 10 radians per second to hertz:

10 rad/s × 0.1591549430919 = 1.591549430919 Hz

Common radians per second to hertz Conversions

  • 10 rad/s = 1.591549430919 Hz
  • 100 rad/s = 15.91549430919 Hz
  • 500 rad/s = 79.57747154595 Hz
  • 1000 rad/s = 159.1549430919 Hz
  • 2000 rad/s = 318.3098861838 Hz

Conversion Facts

  • 1 radian per second equals 0.1591549430919 hertz
  • 1 hertz equals 6.2831853071794 radians per second
  • Formula: Multiply radians per second by 0.1591549430919 to get hertz

Common Applications

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

  • Engineering projects
  • Educational purposes and learning
  • Professional applications
  • Technical documentation

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 radians per second to hertz?

To convert radians per second to hertz, multiply the value by 0.1591549430919. The formula is: hertz = radians per second × 0.1591549430919. For example, 100 rad/s = 15.91549430919 Hz.

How many hertz are in 1 radian per second?

There are 0.1591549430919 hertz in 1 radian per second. This is the standard conversion factor for frequency measurements.

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

The conversion formula is: Hz = rad/s × 0.1591549430919. Simply multiply your radians per second value by 0.1591549430919 to get the equivalent in hertz.

How do you convert hertz to radians per second?

To convert hertz back to radians per second, multiply by 6.2831853071794. The inverse formula is: radians per second = hertz × 6.2831853071794.

Is radians per second to hertz conversion accurate?

Yes, this converter uses the standard international conversion factor of 0.1591549430919, ensuring accurate and reliable results for all frequency conversions.

When should I use radians per second vs hertz?

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

Quick Reference - rad/s to Hz

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

rad/sHz
0.1 rad/s0.01591549430919 Hz
0.2 rad/s0.031830988618379 Hz
0.3 rad/s0.047746482927569 Hz
0.4 rad/s0.063661977236758 Hz
0.5 rad/s0.079577471545948 Hz
0.6 rad/s0.095492965855137 Hz
0.7 rad/s0.11140846016433 Hz
0.8 rad/s0.12732395447352 Hz
0.9 rad/s0.14323944878271 Hz
rad/sHz
1 rad/s0.1591549430919 Hz
2 rad/s0.31830988618379 Hz
3 rad/s0.47746482927569 Hz
4 rad/s0.63661977236758 Hz
5 rad/s0.79577471545948 Hz
6 rad/s0.95492965855137 Hz
7 rad/s1.1140846016433 Hz
8 rad/s1.2732395447352 Hz
9 rad/s1.4323944878271 Hz
rad/sHz
10 rad/s1.591549430919 Hz
20 rad/s3.1830988618379 Hz
30 rad/s4.7746482927569 Hz
40 rad/s6.3661977236758 Hz
50 rad/s7.9577471545948 Hz
60 rad/s9.5492965855137 Hz
70 rad/s11.140846016433 Hz
80 rad/s12.732395447352 Hz
90 rad/s14.323944878271 Hz
rad/sHz
100 rad/s15.91549430919 Hz
200 rad/s31.830988618379 Hz
300 rad/s47.746482927569 Hz
400 rad/s63.661977236758 Hz
500 rad/s79.577471545948 Hz
600 rad/s95.492965855137 Hz
700 rad/s111.40846016433 Hz
800 rad/s127.32395447352 Hz
900 rad/s143.23944878271 Hz
rad/sHz
1000 rad/s159.1549430919 Hz
2000 rad/s318.30988618379 Hz
3000 rad/s477.46482927569 Hz
4000 rad/s636.61977236758 Hz
5000 rad/s795.77471545948 Hz
6000 rad/s954.92965855137 Hz
7000 rad/s1114.0846016433 Hz
8000 rad/s1273.2395447352 Hz
9000 rad/s1432.3944878271 Hz
rad/sHz
10000 rad/s1591.549430919 Hz
20000 rad/s3183.0988618379 Hz
30000 rad/s4774.6482927569 Hz
40000 rad/s6366.1977236758 Hz
50000 rad/s7957.7471545948 Hz
60000 rad/s9549.2965855137 Hz
70000 rad/s11140.846016433 Hz
80000 rad/s12732.395447352 Hz
90000 rad/s14323.944878271 Hz