Radians Per Second to Gigahertz
Type a value in either box to convert between radians per second and gigahertz. The factor is 1.59155e-10.
| Radians Per Second | Gigahertz |
|---|---|
| 1 rad/s | 1.59155e-10 GHz |
| 2 rad/s | 3.1831e-10 GHz |
| 3 rad/s | 4.77465e-10 GHz |
| 5 rad/s | 7.95775e-10 GHz |
| 10 rad/s | 1.59155e-09 GHz |
| 25 rad/s | 3.97887e-09 GHz |
| 50 rad/s | 7.95775e-09 GHz |
| 100 rad/s | 1.59155e-08 GHz |
How to use
- Enter a value in the Radians Per Second field.
- The Gigahertz figure appears immediately — no button to press.
- Typing in the Gigahertz field converts back to Radians Per Second the same way.
- Use the reference table for the values that come up most often.
Radians Per Second to Gigahertz formula
The factor from radians per second to gigahertz is 1.59154943e-10.
GHz = rad/s × 1.59154943e-10
Why this factor: the radian per second and the gigahertz are both defined against the hertz, so dividing one definition by the other gives 1.59154943e-10 directly. Both definitions are set out in full below.
To go the other way, divide by 1.59154943e-10 — or use the Gigahertz to Radians Per Second converter, which is the same calculation reversed.
Worked example
Given 60 rad/s, multiplying by 1.59154943e-10 yields 9.5493e-09 GHz.
60 rad/s × 1.59154943e-10 = 9.5493e-09 GHz
The converter above does this for any value you type, in either direction.
What is a radian per second?
Radians per second is the SI measure of angular velocity — how fast an angle is swept out.
Definition: One full revolution is 2π radians, so 1 rad/s equals 1/(2π) hertz, about 0.159155 Hz.
Where it is used: Rotational dynamics, control systems, signal processing, and motor modeling.
Worth knowing: Angular velocity and frequency are related but not identical quantities; the 2π factor is exactly what separates them.
What is a gigahertz?
A gigahertz is one billion cycles per second — the scale of modern processors and wireless.
Definition: Exactly 1×10⁹ hertz.
Where it is used: CPU clock speeds, Wi-Fi bands (2.4 and 5 GHz), mobile networks, and radar.
Radians Per Second vs Gigahertz
The radian per second is an SI unit while the gigahertz is a metric unit. That is why the factor between them is not a round number: the two systems were defined independently and only later tied together by exact agreement.
Frequently asked questions
How many gigahertz are in a radian per second?
One radian per second equals 1.59154943e-10 gigahertz.
What is the formula to convert radians per second to gigahertz?
Multiply the number of radians per second by 1.59154943e-10. To reverse it, divide by 1.59154943e-10 instead.
How do I convert gigahertz back to radians per second?
Divide by 1.59154943e-10, which is the same as multiplying by 6.28318531e+09.
How many gigahertz are in 10 radians per second?
10 rad/s works out to 1.59155e-09 GHz.
Is there anything to watch out for with radians per second?
Angular velocity and frequency are related but not identical quantities; the 2π factor is exactly what separates them.
How is the radian per second defined?
One full revolution is 2π radians, so 1 rad/s equals 1/(2π) hertz, about 0.159155 Hz.