Kilohertz to Radians per Second Conversion (kHZ to rad/s)

Kilohertz to Radians per Second Converter

Enter the frequency in kilohertz below to convert it to radians per second.

Result in Radians per Second:

1 kHZ = 6,283.185307 rad/s

How to Convert Kilohertz to Radians per Second

To convert a measurement in kilohertz to a measurement in radians per second, multiply the frequency by the following conversion ratio: 6,283.185307 radians per second/kilohertz.

Since one kilohertz is equal to 6,283.185307 radians per second, you can use this simple formula to convert:

radians per second = kilohertz × 6,283.185307

The frequency in radians per second is equal to the frequency in kilohertz multiplied by 6,283.185307.

For example, here's how to convert 5 kilohertz to radians per second using the formula above.

radians per second = (5 kHZ × 6,283.185307) = 31,415.926534 rad/s

How Many Radians per Second Are in a Kilohertz?

There are 6,283.185307 radians per second in a kilohertz, which is why we use this value in the formula above.

1 kHZ = 6,283.185307 rad/s

Kilohertz and radians per second are both units used to measure frequency. Keep reading to learn more about each unit of measure.

What Is a Kilohertz?

Kilohertz is a measure of frequency equal to one thousand cycles per second.

The kilohertz is a multiple of the hertz, which is the SI derived unit for frequency. In the metric system, "kilo" is the prefix for thousands, or 10³. Kilohertz can be abbreviated as kHZ; for example, 1 kilohertz can be written as 1 kHZ.

Learn more about kilohertz.

What Are Radians per Second?

Radians per second are a measure of angular frequency, or rotational speed, equal to the change in the angular orientation of an object over one second.

Radians per second can be abbreviated as rad/s; for example, 1 radian per second can be written as 1 rad/s.

In the expressions of units, the slash, or solidus (/), is used to express a change in one or more units relative to a change in one or more other units.^[1] For example, rad/s is expressing a change in angle relative to a change in time.

Learn more about radians per second.

Kilohertz to Radian per Second Conversion Table

Table showing various kilohertz measurements converted to radians per second.
Kilohertz	Radians Per Second
0.001 kHZ	6.2832 rad/s
0.002 kHZ	12.57 rad/s
0.003 kHZ	18.85 rad/s
0.004 kHZ	25.13 rad/s
0.005 kHZ	31.42 rad/s
0.006 kHZ	37.7 rad/s
0.007 kHZ	43.98 rad/s
0.008 kHZ	50.27 rad/s
0.009 kHZ	56.55 rad/s
0.01 kHZ	62.83 rad/s
0.02 kHZ	125.66 rad/s
0.03 kHZ	188.5 rad/s
0.04 kHZ	251.33 rad/s
0.05 kHZ	314.16 rad/s
0.06 kHZ	376.99 rad/s
0.07 kHZ	439.82 rad/s
0.08 kHZ	502.65 rad/s
0.09 kHZ	565.49 rad/s
0.1 kHZ	628.32 rad/s
0.2 kHZ	1,257 rad/s
0.3 kHZ	1,885 rad/s
0.4 kHZ	2,513 rad/s
0.5 kHZ	3,142 rad/s
0.6 kHZ	3,770 rad/s
0.7 kHZ	4,398 rad/s
0.8 kHZ	5,027 rad/s
0.9 kHZ	5,655 rad/s
1 kHZ	6,283 rad/s

Table showing various kilohertz measurements converted to radians per second.

Kilohertz

Radians Per Second

0.001 kHZ

6.2832 rad/s

0.002 kHZ

12.57 rad/s

0.003 kHZ

18.85 rad/s

0.004 kHZ

25.13 rad/s

0.005 kHZ

31.42 rad/s

0.006 kHZ

37.7 rad/s

0.007 kHZ

43.98 rad/s

0.008 kHZ

50.27 rad/s

0.009 kHZ

56.55 rad/s

0.01 kHZ

62.83 rad/s

0.02 kHZ

125.66 rad/s

0.03 kHZ

188.5 rad/s

0.04 kHZ

251.33 rad/s

0.05 kHZ

314.16 rad/s

0.06 kHZ

376.99 rad/s

0.07 kHZ

439.82 rad/s

0.08 kHZ

502.65 rad/s

0.09 kHZ

565.49 rad/s

0.1 kHZ

628.32 rad/s

0.2 kHZ

1,257 rad/s

0.3 kHZ

1,885 rad/s

0.4 kHZ

2,513 rad/s

0.5 kHZ

3,142 rad/s

0.6 kHZ

3,770 rad/s

0.7 kHZ

4,398 rad/s

0.8 kHZ

5,027 rad/s

0.9 kHZ

5,655 rad/s

1 kHZ

6,283 rad/s

References

National Institute of Standards and Technology, NIST Guide to the SI, Chapter 6: Rules and Style Conventions for Printing and Using Units, https://www.nist.gov/pml/special-publication-811/nist-guide-si-chapter-6-rules-and-style-conventions-printing-and-using