Radians per Second (rad/s)	Kilohertz (kHz)
1 rad/s	0.0001592 kHz
2 rad/s	0.0003183 kHz
5 rad/s	0.0007958 kHz
10 rad/s	0.001592 kHz
25 rad/s	0.003979 kHz
50 rad/s	0.007958 kHz
100 rad/s	0.01592 kHz
250 rad/s	0.03979 kHz
500 rad/s	0.07958 kHz
1000 rad/s	0.1592 kHz

Convert Radians per Second to Kilohertz

Convert radians per second to kilohertz (rad/s to kHz) with our instant calculator. 1 rad/s = 0.000159 kHz. Includes exact formula and reference tables.

How to Convert Radians per Second to Kilohertz (rad/s to kHz)

1 Radians per Second (rad/s) is equal to 0.000159 Kilohertz (kHz). Multiply the radians per second value by 0.0001591549431

Quick Answer 1 rad/s = 0.000159 kHz

Formula kHz = rad/s × 0.0001591549431

Inverse Factor 1 kHz = 6283.185307 rad/s

Unit Definitions & Metrology Context

The standard SI unit of frequency is the hertz (Hz), defined as one complete cycle or oscillation per second (1 s⁻¹).

About Radians per Second (rad/s): Radians per Second (rad/s) is a unit in the Frequency measurement category. It is widely used in angular velocity (ω = 2πf). Relative to the frequency base unit, 1 rad/s equals 0.159155 Hertz (Hz).

About Kilohertz (kHz): Kilohertz (kHz) is a unit in the Frequency measurement category. It is widely used in audio & am radio (1,000 hz). Relative to the frequency base unit, 1 kHz equals 1000 Hertz (Hz).

Need to convert in the opposite direction? Visit our Convert Kilohertz to Radians per Second (kHz to rad/s) calculator (1 kHz = 6283.185307 rad/s).

Step-by-Step Worked Examples (rad/s to kHz)

Convert 5 Radians per Second to Kilohertz: Applying the formula (kHz = rad/s × 0.0001591549431): starting with 5 rad/s, multiply the radians per second value by 0.0001591549431 to get 0.0008 kHz.
Convert 10 Radians per Second to Kilohertz: Applying the formula (kHz = rad/s × 0.0001591549431): starting with 10 rad/s, multiply the radians per second value by 0.0001591549431 to get 0.0016 kHz.
Convert 50 Radians per Second to Kilohertz: Applying the formula (kHz = rad/s × 0.0001591549431): starting with 50 rad/s, multiply the radians per second value by 0.0001591549431 to get 0.008 kHz.

Popular Frequency Conversions

Hertz ⇄ Revolutions per Minute

Multiply Hertz by 60 to calculate Revolutions per Minute (RPM = Hz × 60).

Revolutions per Minute ⇄ Hertz

Divide RPM by 60 to find frequency in Hertz (Hz = RPM ÷ 60).

Gigahertz ⇄ Megahertz

1 gigahertz (GHz) contains exactly 1,000 megahertz (MHz).

Megahertz ⇄ Kilohertz

1 megahertz (MHz) contains exactly 1,000 kilohertz (kHz).

Radians per Second ⇄ Hertz

Divide radians per second by 2π (~6.283185) to calculate frequency in Hertz.

Frequently Asked Questions

Verified answers and formulas for converting radians per second to kilohertz.

How many kilohertz are in 1 radians per second?

There are 0.000159 kilohertz (kHz) in 1 radians per second (rad/s). Conversely, 1 kilohertz equals 6283.185307 radians per second.

How do you convert radians per second to kilohertz?

To convert radians per second (rad/s) to kilohertz (kHz), use the formula: kHz = rad/s × 0.0001591549431. Multiply the radians per second value by 0.0001591549431. For example, 10 rad/s equals 0.0016 kHz.

How do I convert back from kilohertz to radians per second?

To convert in the reverse direction from kilohertz (kHz) to radians per second (rad/s), use the inverse formula: rad/s = kHz × 6283.185307. Multiply the kilohertz value by 6283.185307 (1 kHz = 6283.185307 rad/s).

What is the difference between radians per second (rad/s) and kilohertz (kHz)?

Both radians per second and kilohertz measure frequency. Radians per Second (rad/s) is a unit in the Frequency measurement category. It is widely used in angular velocity (ω = 2πf). Relative to the frequency base unit, 1 rad/s equals 0.159155 Hertz (Hz). Kilohertz (kHz) is a unit in the Frequency measurement category. It is widely used in audio & am radio (1,000 hz). Relative to the frequency base unit, 1 kHz equals 1000 Hertz (Hz).

How do you convert RPM to Hertz (Hz)?

To convert RPM (revolutions per minute) to Hertz (cycles per second), divide by 60. For example, a car engine idling at 600 RPM is spinning at 10 Hz (600 ÷ 60 = 10 Hz).