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

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

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

How to Convert hertz to radians per second

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

radians per second = hertz × 6.2831853071796

This means that 1 hertz equals 6.2831853071796 radians per second. Conversely, 1 radian per second equals 0.15915494309189 hertz.

Example Calculation

To convert 10 hertz to radians per second:

10 Hz × 6.2831853071796 = 62.831853071796 rad/s

Common hertz to radians per second Conversions

  • 1 Hz = 6.2831853071796 rad/s
  • 10 Hz = 62.831853071796 rad/s
  • 50 Hz = 314.15926535898 rad/s
  • 100 Hz = 628.31853071796 rad/s
  • 200 Hz = 1256.6370614359 rad/s

Conversion Facts

  • 1 hertz equals 6.2831853071796 radians per second
  • 1 radian per second equals 0.15915494309189 hertz
  • Formula: Multiply hertz by 6.2831853071796 to get radians per second

Common Applications

Converting between hertz and radians per second 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 hertz to radians per second?

To convert hertz to radians per second, multiply the value by 6.2831853071796. The formula is: radians per second = hertz × 6.2831853071796. For example, 10 Hz = 62.831853071796 rad/s.

How many radians per second are in 1 hertz?

There are 6.2831853071796 radians per second in 1 hertz. This is the standard conversion factor for frequency measurements.

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

The conversion formula is: rad/s = Hz × 6.2831853071796. Simply multiply your hertz value by 6.2831853071796 to get the equivalent in radians per second.

How do you convert radians per second to hertz?

To convert radians per second back to hertz, multiply by 0.15915494309189. The inverse formula is: hertz = radians per second × 0.15915494309189.

Is hertz to radians per second conversion accurate?

Yes, this converter uses the standard international conversion factor of 6.2831853071796, ensuring accurate and reliable results for all frequency conversions.

When should I use hertz vs radians per second?

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

Quick Reference - Hz to rad/s

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

Hzrad/s
0.1 Hz0.62831853071796 rad/s
0.2 Hz1.2566370614359 rad/s
0.3 Hz1.8849555921539 rad/s
0.4 Hz2.5132741228718 rad/s
0.5 Hz3.1415926535898 rad/s
0.6 Hz3.7699111843078 rad/s
0.7 Hz4.3982297150257 rad/s
0.8 Hz5.0265482457437 rad/s
0.9 Hz5.6548667764616 rad/s
Hzrad/s
1 Hz6.2831853071796 rad/s
2 Hz12.566370614359 rad/s
3 Hz18.849555921539 rad/s
4 Hz25.132741228718 rad/s
5 Hz31.415926535898 rad/s
6 Hz37.699111843078 rad/s
7 Hz43.982297150257 rad/s
8 Hz50.265482457437 rad/s
9 Hz56.548667764616 rad/s
Hzrad/s
10 Hz62.831853071796 rad/s
20 Hz125.66370614359 rad/s
30 Hz188.49555921539 rad/s
40 Hz251.32741228718 rad/s
50 Hz314.15926535898 rad/s
60 Hz376.99111843078 rad/s
70 Hz439.82297150257 rad/s
80 Hz502.65482457437 rad/s
90 Hz565.48667764616 rad/s
Hzrad/s
100 Hz628.31853071796 rad/s
200 Hz1256.6370614359 rad/s
300 Hz1884.9555921539 rad/s
400 Hz2513.2741228718 rad/s
500 Hz3141.5926535898 rad/s
600 Hz3769.9111843078 rad/s
700 Hz4398.2297150257 rad/s
800 Hz5026.5482457437 rad/s
900 Hz5654.8667764616 rad/s
Hzrad/s
1000 Hz6283.1853071796 rad/s
2000 Hz12566.370614359 rad/s
3000 Hz18849.555921539 rad/s
4000 Hz25132.741228718 rad/s
5000 Hz31415.926535898 rad/s
6000 Hz37699.111843078 rad/s
7000 Hz43982.297150257 rad/s
8000 Hz50265.482457437 rad/s
9000 Hz56548.667764616 rad/s
Hzrad/s
10000 Hz62831.853071796 rad/s
20000 Hz125663.70614359 rad/s
30000 Hz188495.55921539 rad/s
40000 Hz251327.41228718 rad/s
50000 Hz314159.26535898 rad/s
60000 Hz376991.11843078 rad/s
70000 Hz439822.97150257 rad/s
80000 Hz502654.82457437 rad/s
90000 Hz565486.67764616 rad/s

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