Kilohertz to Radian per second Converter (and vice versa)

Created by: tinycalcs.com/en
Number of supported units: 2
Last update: 2026

This converter allows you to convert kilohertz [kHz] to radians per second [rad/s] or radians per second [rad/s] to kilohertz [kHz]. Calculations are performed in both directions. The calculation result and the entered value are displayed with up to 20 decimal places for maximum accuracy.

1 kilohertz [kHz] ≈ 6,283.1853 radians per second [rad/s]1 radian per second [rad/s] ≈ 1.592 * 10-4 kilohertz [kHz]

Convert kilohertz to radians per second

There are two simple ways to convert kilohertz [kHz] to radians per second [rad/s]. In the first calculation method, the value in kilohertz [kHz] is divided by the rounded conversion factor of 1.592 * 10-4. The second method multiplies the value in kilohertz [kHz] by the rounded conversion factor of 6,283.1853.

  • Radians per second [rad/s] ≈ kilohertz [kHz] ÷ (1.592 * 10-4)
  • Radians per second [rad/s] ≈ kilohertz [kHz] * 6,283.1853

However, rounded conversion values are only suitable for rough conversions, as rounding errors can occur in the calculation result. The most accurate conversion of kilohertz [kHz] to radians per second [rad/s] can be achieved using the following calculation method.

  • Radians per second [rad/s] = kilohertz [kHz] * 2,000 * π

Convert radians per second to kilohertz

Converting radians per second [rad/s] to kilohertz [kHz] is easy and can be done in two ways. The first method involves multiplication, in which the value in radians per second [rad/s] is multiplied by the rounded conversion factor of 1.592 * 10-4. The second variant is a division. Here, the value in radians per second [rad/s] is divided by the rounded conversion factor of 6,283.1853.

  • Kilohertz [kHz] ≈ radians per second [rad/s] * 1.592 * 10-4
  • Kilohertz [kHz] ≈ radians per second [rad/s] ÷ 6,283.1853

However, rounded conversion values do not allow for exact calculations because rounding errors can occur in the calculation result. The most accurate conversion of radians per second [rad/s] to kilohertz [kHz] can be achieved using the following calculation method.

  • Kilohertz [kHz] = radians per second [rad/s] ÷ 2,000 ÷ π

Converter

Decimal places

How it's calculated

Factor: 
≈ 6,283.185
Radians per second = Kilohertz * 2,000 * π
Kilohertz = Radians per second ÷ 2,000 ÷ π

To all available units

Kilohertz

Revolutions per minute

Kilohertz

Revolutions per second

Kilohertz

Terahertz

Megahertz

Degrees per minute

Megahertz

Degrees per second