gigahertz [GHz] to radian per second [rad/s] Converter
Quick Reference
1 gigahertz (GHz) = 6283185307 radian per second (rad/s)
1 radian per second (rad/s) = 1.5915e-10 gigahertz (GHz)
How to Convert gigahertz to radian per second
1 GHz = 6283185307.179586 rad/s
1 rad/s = 1.5915494309189535e-10 GHz
To convert gigahertz to radian per second, multiply the value by 6283185307. To convert radian per second back to gigahertz, divide by 6283185307.
Example: convert 10 GHz to rad/s:
10 GHz = 10 x 6283185307.179586 = 62831853071.79587 rad/s
gigahertz
Definition: A gigahertz (symbol: GHz) is a unit of frequency equal to one billion (1,000,000,000) hertz (Hz). The hertz, in turn, is the SI unit of frequency, defined as one cycle per second.
History/origin: The gigahertz is derived from the hertz, named after the German physicist Heinrich Hertz, who made significant contributions to the understanding of electromagnetic waves. The prefix 'giga-' denotes a factor of 10<sup>9</sup>, adhering to the SI system of units.
Current use: Gigahertz is primarily used to measure the clock speeds of modern computer processors, the frequencies of wireless communication technologies (e.g., 5G cellular networks), and radar systems. It represents very high-frequency signals and operations.
radian per second
Definition: Radians per second (rad/s) is the SI unit of angular speed or angular velocity. It represents the rate of change of an angle in radians over time, specifically the number of radians rotated in one second.
History/origin: The radian as a unit of angle measurement is fundamental in mathematics and physics. Defining angular speed in radians per second is essential for consistency with other SI units and simplifies many equations in rotational dynamics.
Current use: Radians per second is widely used in physics, engineering, and mathematics for describing rotational motion. It's essential in calculations involving torque, angular momentum, and rotational kinetic energy. It appears in fields such as mechanics, electrical engineering (e.g., analyzing AC circuits), and signal processing (e.g., representing signal frequencies).
gigahertz to radian per second Conversion Table
| gigahertz [GHz] | radian per second [rad/s] |
|---|---|
| 1 GHz | 6283185307.179586 rad/s |
| 2 GHz | 12566370614.359173 rad/s |
| 5 GHz | 31415926535.89793 rad/s |
| 10 GHz | 62831853071.79586 rad/s |
| 20 GHz | 125663706143.59172 rad/s |
| 50 GHz | 314159265358.9793 rad/s |
| 100 GHz | 628318530717.9586 rad/s |
| 200 GHz | 1256637061435.9172 rad/s |
| 500 GHz | 3141592653589.793 rad/s |
| 1000 GHz | 6283185307179.586 rad/s |
Common pairs of Frequency
millihertz
kilohertz
megahertz
gigahertz
terahertz
rotation per minute
degree per second