Convert kilohertz to radians per second (kHz to rad/s)

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

Convert kilohertz to radians per second quickly and easily. Our frequency conversion tool provides precise calculations for kHz to rad/s conversions.

How to Convert kilohertz to radians per second

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

radians per second = kilohertz × 6283.1853071796

This means that 1 kilohertz equals 6283.1853071796 radians per second. Conversely, 1 radian per second equals 0.00015915494309189 kilohertz.

Example Calculation

To convert 10 kilohertz to radians per second:

10 kHz × 6283.1853071796 = 62831.853071796 rad/s

Common kilohertz to radians per second Conversions

  • 1 kHz = 6283.1853071796 rad/s
  • 10 kHz = 62831.853071796 rad/s
  • 100 kHz = 628318.53071796 rad/s
  • 500 kHz = 3141592.6535898 rad/s
  • 1000 kHz = 6283185.3071796 rad/s

kilohertz to radians per second Reference

The conversion ratio between kilohertz and radians per second is:

  • 1 kHz = 6283.1853071796 rad/s
  • 1 rad/s = 0.00015915494309189 kHz

Use this ratio to convert any value between these units.

Common Applications

Converting between kilohertz 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 kilohertz to radians per second?

To convert kilohertz to radians per second, multiply the value by 6283.1853071796. The formula is: radians per second = kilohertz × 6283.1853071796. For example, 10 kHz = 62831.853071796 rad/s.

How many radians per second are in 1 kilohertz?

There are 6283.1853071796 radians per second in 1 kilohertz. This is the standard conversion factor for frequency measurements.

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

The conversion formula is: rad/s = kHz × 6283.1853071796. Simply multiply your kilohertz value by 6283.1853071796 to get the equivalent in radians per second.

How do you convert radians per second to kilohertz?

To convert radians per second back to kilohertz, multiply by 0.00015915494309189. The inverse formula is: kilohertz = radians per second × 0.00015915494309189.

Is kilohertz to radians per second conversion accurate?

Yes, this converter uses the standard international conversion factor of 6283.1853071796, ensuring accurate and reliable results for all frequency conversions.

When should I use kilohertz vs radians per second?

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

kilohertz to radians per second Conversion Reference

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

kHzrad/s
0.1 kHz628.31853071796 rad/s
0.2 kHz1256.6370614359 rad/s
0.3 kHz1884.9555921539 rad/s
0.4 kHz2513.2741228718 rad/s
0.5 kHz3141.5926535898 rad/s
0.6 kHz3769.9111843078 rad/s
0.7 kHz4398.2297150257 rad/s
0.8 kHz5026.5482457437 rad/s
0.9 kHz5654.8667764616 rad/s
kHzrad/s
1 kHz6283.1853071796 rad/s
2 kHz12566.370614359 rad/s
3 kHz18849.555921539 rad/s
4 kHz25132.741228718 rad/s
5 kHz31415.926535898 rad/s
6 kHz37699.111843078 rad/s
7 kHz43982.297150257 rad/s
8 kHz50265.482457437 rad/s
9 kHz56548.667764616 rad/s
kHzrad/s
10 kHz62831.853071796 rad/s
20 kHz125663.70614359 rad/s
30 kHz188495.55921539 rad/s
40 kHz251327.41228718 rad/s
50 kHz314159.26535898 rad/s
60 kHz376991.11843078 rad/s
70 kHz439822.97150257 rad/s
80 kHz502654.82457437 rad/s
90 kHz565486.67764616 rad/s
kHzrad/s
100 kHz628318.53071796 rad/s
200 kHz1256637.0614359 rad/s
300 kHz1884955.5921539 rad/s
400 kHz2513274.1228718 rad/s
500 kHz3141592.6535898 rad/s
600 kHz3769911.1843078 rad/s
700 kHz4398229.7150257 rad/s
800 kHz5026548.2457437 rad/s
900 kHz5654866.7764616 rad/s
kHzrad/s
1000 kHz6283185.3071796 rad/s
2000 kHz12566370.614359 rad/s
3000 kHz18849555.921539 rad/s
4000 kHz25132741.228718 rad/s
5000 kHz31415926.535898 rad/s
6000 kHz37699111.843078 rad/s
7000 kHz43982297.150257 rad/s
8000 kHz50265482.457437 rad/s
9000 kHz56548667.764616 rad/s
kHzrad/s
10000 kHz62831853.071796 rad/s
20000 kHz125663706.14359 rad/s
30000 kHz188495559.21539 rad/s
40000 kHz251327412.28718 rad/s
50000 kHz314159265.35898 rad/s
60000 kHz376991118.43078 rad/s
70000 kHz439822971.50257 rad/s
80000 kHz502654824.57437 rad/s
90000 kHz565486677.64616 rad/s

Related Frequency Conversions