Kilohertz to Radians per Second Converter
Convert kilohertz (kHz) to radians per second (rad/s), with the formula, a conversion table and exact factors.
Change the values and press Calculate to work out your own figures.
Enter a frequency, choose its unit and the unit you want. The answer is exact until it is shown, and the same value appears in every other unit.
Show the working
- 1 kHz = 6283.18530718 rad/s
- 1 × 6283.18530718 = 6283.18530718 rad/s
How to convert kilohertz to radians per second
1 kHz = 6,283.18530718 rad/s, so multiply by 6,283.18530718 to go from kilohertz to radians per second. Going the other way, 1 rad/s = 0.000159154943092 kHz.
rad/s = kHz × 6,283.18530718 kHz = rad/s × 0.000159154943092
Worked example:
1 kHz = 6283.18530718 rad/s 5 × 6283.18530718 = 31415.9265359 rad/s
Kilohertz to radians per second table
| Kilohertz | Radians per Second |
|---|---|
| 1 kHz | 6,283.18530718 rad/s |
| 2 kHz | 12,566.3706144 rad/s |
| 3 kHz | 18,849.5559215 rad/s |
| 4 kHz | 25,132.7412287 rad/s |
| 5 kHz | 31,415.9265359 rad/s |
| 6 kHz | 37,699.1118431 rad/s |
| 7 kHz | 43,982.2971503 rad/s |
| 8 kHz | 50,265.4824574 rad/s |
| 9 kHz | 56,548.6677646 rad/s |
| 10 kHz | 62,831.8530718 rad/s |
| 15 kHz | 94,247.7796077 rad/s |
| 20 kHz | 125,663.706144 rad/s |
| 25 kHz | 157,079.632679 rad/s |
| 30 kHz | 188,495.559215 rad/s |
| 40 kHz | 251,327.412287 rad/s |
| 50 kHz | 314,159.265359 rad/s |
| 75 kHz | 471,238.898038 rad/s |
| 100 kHz | 628,318.530718 rad/s |
| 250 kHz | 1,570,796.32679 rad/s |
| 500 kHz | 3,141,592.65359 rad/s |
| 1000 kHz | 6,283,185.30718 rad/s |
About the units
- Kilohertz (kHz)
- Kilohertz, a metric unit. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).
- Radians per Second (rad/s)
- Radians per second, a metric unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).