Gigahertz 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 gigahertz [GHz] to radians per second [rad/s] or radians per second [rad/s] to gigahertz [GHz]. 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 gigahertz [GHz] ≈ 6.283 * 109 radians per second [rad/s]1 radian per second [rad/s] ≈ 1.592 * 10-10 gigahertz [GHz]

Convert gigahertz to radians per second

There are two simple ways to convert gigahertz [GHz] to radians per second [rad/s]. In the first calculation method, the value in gigahertz [GHz] is divided by the rounded conversion factor of 1.592 * 10-10. The second method multiplies the value in gigahertz [GHz] by the rounded conversion factor of 6.283 * 109.

  • Radians per second [rad/s] ≈ gigahertz [GHz] ÷ (1.592 * 10-10)
  • Radians per second [rad/s] ≈ gigahertz [GHz] * 6.283 * 109

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

Radians per second [rad/s] = gigahertz [GHz] * 2 * 109 * π

Convert radians per second to gigahertz

Converting radians per second [rad/s] to gigahertz [GHz] 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 * 10-10. 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 * 109.

  • Gigahertz [GHz] ≈ radians per second [rad/s] * 1.592 * 10-10
  • Gigahertz [GHz] ≈ radians per second [rad/s] ÷ (6.283 * 109)

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 gigahertz [GHz] can be achieved using the following calculation method.

Gigahertz [GHz] = radians per second [rad/s] ÷ 109 ÷ 2 ÷ π

Converter

Decimal places

How it's calculated

Factor: 
≈ 6.283 * 109
Radians per second = Gigahertz * 2 * 109 * π
Gigahertz = Radians per second ÷ 109 ÷ 2 ÷ π

To all available units

Gigahertz

Revolutions per minute

Gigahertz

Revolutions per second

Gigahertz

Terahertz

Hectohertz

Gigahertz

Hectohertz

Kilohertz