Radians Per Second to Megahertz
An instant radians per second-to-megahertz converter, with the formula and a reference table below.
| Radians Per Second | Megahertz |
|---|---|
| 1 rad/s | 1.59155e-07 MHz |
| 2 rad/s | 3.1831e-07 MHz |
| 3 rad/s | 4.77465e-07 MHz |
| 5 rad/s | 7.95775e-07 MHz |
| 10 rad/s | 1.59155e-06 MHz |
| 25 rad/s | 3.97887e-06 MHz |
| 50 rad/s | 7.95775e-06 MHz |
| 100 rad/s | 1.59155e-05 MHz |
How to use
- Enter a value in the Radians Per Second field.
- The Megahertz figure appears immediately — no button to press.
- Typing in the Megahertz 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 Megahertz formula
To convert radians per second to megahertz, multiply by 1.59154943e-07.
MHz = rad/s × 1.59154943e-07
Why this factor: the radian per second and the megahertz are both defined against the hertz, so dividing one definition by the other gives 1.59154943e-07 directly. Both definitions are set out in full below.
To go the other way, divide by 1.59154943e-07 — or use the Megahertz to Radians Per Second converter, which is the same calculation reversed.
Worked example
Given 50 rad/s, multiplying by 1.59154943e-07 yields 7.95775e-06 MHz.
50 rad/s × 1.59154943e-07 = 7.95775e-06 MHz
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 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.
Radians Per Second vs Megahertz
The radian per second is an SI unit while the megahertz 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 megahertz are in a radian per second?
One radian per second equals 1.59154943e-07 megahertz.
What is the formula to convert radians per second to megahertz?
Multiply the number of radians per second by 1.59154943e-07. To reverse it, divide by 1.59154943e-07 instead.
How do I convert megahertz back to radians per second?
Divide by 1.59154943e-07, which is the same as multiplying by 6283185.31.
How many megahertz are in 10 radians per second?
10 rad/s works out to 1.59155e-06 MHz.
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.