Megahertz to Radians Per Second
Convert megahertz to radians per second instantly — one megahertz is 6.28319e+06 radians per second.
| Megahertz | Radians Per Second |
|---|---|
| 1 MHz | 6283185.30718 rad/s |
| 2 MHz | 12566370.614359 rad/s |
| 3 MHz | 18849555.921539 rad/s |
| 5 MHz | 31415926.535898 rad/s |
| 10 MHz | 62831853.071796 rad/s |
| 25 MHz | 157079632.67949 rad/s |
| 50 MHz | 314159265.358979 rad/s |
| 100 MHz | 628318530.717959 rad/s |
How to use
- Enter a value in the Megahertz field.
- The Radians Per Second figure appears immediately — no button to press.
- Typing in the Radians Per Second field converts back to Megahertz the same way.
- Use the reference table for the values that come up most often.
Megahertz to Radians Per Second formula
Converting megahertz to radians per second is a single multiplication by 6283185.31.
rad/s = MHz × 6283185.31
Why this factor: the megahertz and the radian per second are both defined against the hertz, so dividing one definition by the other gives 6283185.31 directly. Both definitions are set out in full below.
To go the other way, divide by 6283185.31 — or use the Radians Per Second to Megahertz converter, which is the same calculation reversed.
Worked example
Start with 1000 MHz. Multiply by 6283185.31 to get 6283185307.179586 rad/s.
1000 MHz × 6283185.31 = 6283185307.179586 rad/s
The converter above does this for any value you type, in either direction.
What is a megahertz?
A megahertz is one million cycles per second.
Definition: Exactly 1×10⁶ hertz.
Where it is used: FM radio and broadcast bands, memory clock speeds, and radio communications.
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.
Megahertz vs Radians Per Second
The megahertz is a metric unit while the radian per second is an SI 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 radians per second are in a megahertz?
One megahertz equals 6283185.31 radians per second.
What is the formula to convert megahertz to radians per second?
Multiply the number of megahertz by 6283185.31. To reverse it, divide by 6283185.31 instead.
How do I convert radians per second back to megahertz?
Divide by 6283185.31, which is the same as multiplying by 1.59154943e-07.
How many radians per second are in 10 megahertz?
10 MHz works out to 62831853.071796 rad/s.
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 megahertz defined?
Exactly 1×10⁶ hertz.