Hertz 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 hertz [Hz] to radians per second [rad/s] or radians per second [rad/s] to hertz [Hz]. 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 hertz [Hz] ≈ 6.2832 radians per second [rad/s]1 radian per second [rad/s] ≈ 0.1592 hertz [Hz]

Convert hertz to radians per second

There are two simple ways to convert hertz [Hz] to radians per second [rad/s]. In the first calculation method, the value in hertz [Hz] is divided by the rounded conversion factor of 0.1592. The second method multiplies the value in hertz [Hz] by the rounded conversion factor of 6.2832.

  • Radians per second [rad/s] ≈ hertz [Hz] ÷ 0.1592
  • Radians per second [rad/s] ≈ hertz [Hz] * 6.2832

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

  • Radians per second [rad/s] = hertz [Hz] * 2 * π

Convert radians per second to hertz

Converting radians per second [rad/s] to hertz [Hz] 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 0.1592. The second variant is a division. Here, the value in radians per second [rad/s] is divided by the rounded conversion factor of 6.2832.

  • Hertz [Hz] ≈ radians per second [rad/s] * 0.1592
  • Hertz [Hz] ≈ radians per second [rad/s] ÷ 6.2832

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 hertz [Hz] can be achieved using the following calculation method.

  • Hertz [Hz] = radians per second [rad/s] ÷ 2 ÷ π

Converter

Decimal places

How it's calculated

Factor: 
≈ 6.283
Radians per second = Hertz * 2 * π
Hertz = Radians per second ÷ 2 ÷ π

To all available units

Hertz

Revolutions per day

Hertz

Revolutions per hour

Hertz

Revolutions per minute

Hertz

Revolutions per second

Hertz

Terahertz