radian per second [rad/s] to gigahertz [GHz] Converter
Quick Reference
1 radian per second (rad/s) = 1.5915e-10 gigahertz (GHz)
1 gigahertz (GHz) = 6283185307 radian per second (rad/s)
How to Convert radian per second to gigahertz
1 rad/s = 1.5915494309189535e-10 GHz
1 GHz = 6283185307.179586 rad/s
To convert radian per second to gigahertz, divide the value by 6283185307 (equivalently, multiply by 1.5915e-10). To convert gigahertz back to radian per second, multiply by 6283185307.
Example: convert 10 rad/s to GHz:
10 rad/s = 10 x 1.5915494309189535e-10 = 1.5915494309189535e-9 GHz
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
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 to gigahertz Conversion Table
| radian per second [rad/s] | gigahertz [GHz] |
|---|---|
| 1 rad/s | 1.5915494309189535e-10 GHz |
| 2 rad/s | 3.183098861837907e-10 GHz |
| 5 rad/s | 7.957747154594768e-10 GHz |
| 10 rad/s | 1.5915494309189535e-9 GHz |
| 20 rad/s | 3.183098861837907e-9 GHz |
| 50 rad/s | 7.957747154594767e-9 GHz |
| 100 rad/s | 1.5915494309189534e-8 GHz |
| 200 rad/s | 3.183098861837907e-8 GHz |
| 500 rad/s | 7.957747154594767e-8 GHz |
| 1000 rad/s | 1.5915494309189535e-7 GHz |
Common pairs of Frequency
millihertz
kilohertz
megahertz
gigahertz
terahertz
rotation per minute
degree per second