Convert Radians per Second to Megahertz (rad/s to MHz)
1 radian per second (rad/s) = 1.591549431 × 10⁻⁷ megahertz (MHz). 1 MHz = 6283185.307 rad/s. Example: 15 rad/s = 15 × 1.591549431 × 10⁻⁷ = 0.000002387324146 MHz.
Also searched as radians per second to MHz, radians per second in MHz, radians per second into megahertz, rad/s to MHz, rad/s in megahertz, rad/s into megahertz, radian per second to megahertz, rad/s to megahertz converter and how many megahertz in a radian per second.
1 rad/s = 1.591549431e-7 MHz
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk radian per second to megahertz converter to paste a column from Excel.
How to Convert Radian per Second to Megahertz
- 1 rad/s = 1.591549431 × 10⁻⁷ MHz
- 1 MHz = 6283185.307 rad/s
- Example: convert 15 rad/s to MHz: 15 rad/s = 15 × 1.591549431 × 10⁻⁷ MHz = 0.000002387324146 MHz
Formula
MHz = rad/s × 1.591549430919 × 10⁻⁷
or MHz = rad/s ÷ 6283185.30718
Derivation from SI units:
- ω = 2πf, so 1 rad/s = 1/(2π) Hz ≈ 0.159155 Hz.
- 1 MHz = 10⁶ Hz.
- 1 rad/s = 0.1591549430919 Hz ÷ 1000000 Hz per MHz = 1.591549430919 × 10⁻⁷ MHz
Both units are defined exactly, so the factor is exact. Radian per Second definition: radian per second; Megahertz definition: megahertz.
Worked examples
- A reading of 6.28318 rad/s converts to 9.999991553 × 10⁻⁷ MHz.
6.28318 rad/s × 1.591549431 × 10⁻⁷ = 9.999991553 × 10⁻⁷ MHz - A value of 100 rad/s is 0.00001591549431 MHz.
100 rad/s × 1.591549431 × 10⁻⁷ = 0.00001591549431 MHz
Radian per Second to Megahertz conversion table
| Radians per Second (rad/s) | Megahertz (MHz) |
|---|---|
| 1 rad/s | 1.591549431 × 10⁻⁷ MHz |
| 2 rad/s | 3.183098862 × 10⁻⁷ MHz |
| 3.14159 rad/s | 4.999995777 × 10⁻⁷ MHz |
| 6.28318 rad/s | 9.999991553 × 10⁻⁷ MHz |
| 10 rad/s | 0.000001591549431 MHz |
| 50 rad/s | 0.000007957747155 MHz |
| 100 rad/s | 0.00001591549431 MHz |
| 314.159 rad/s | 0.00004999995777 MHz |
| 376.991 rad/s | 0.00005999998115 MHz |
| 1000 rad/s | 0.0001591549431 MHz |
Where it's used
Radians per Second are used for angular velocity in physics and dynamics, while megahertz appear in FM radio and TV. Both measure frequency and rotational speed, so the conversion is a fixed factor.
Radian per Second to other frequency units
| Conversion | 1 rad/s equals |
|---|---|
| radian per second to megahertz | 1.591549431 × 10⁻⁷ MHz |
| radian per second to hertz | 0.1591549431 Hz |
| radian per second to gigahertz | 1.591549431 × 10⁻¹⁰ GHz |
| radian per second to revolution per minute | 9.549296586 rpm |
| radian per second to kilohertz | 0.0001591549431 kHz |
| radian per second to revolution per second | 0.1591549431 rps |
| radian per second to degree per second | 57.29577951 °/s |
| radian per second to beat per minute | 9.549296586 bpm |
Show 1 more units
| radian per second to terahertz | 1.591549431 × 10⁻¹³ THz |
|---|
Frequently asked questions
How many megahertz are in 1 radian per second?
1 rad/s = 1.591549431 × 10⁻⁷ MHz.
How do I convert radians per second to megahertz?
Multiply the value in rad/s by 1.591549431 × 10⁻⁷, or divide it by 6283185.307. For example, 15 rad/s × 1.591549431 × 10⁻⁷ = 0.000002387324146 MHz.
Is the rad/s to MHz conversion exact?
Yes. Both units are defined exactly, so the ratio is exact; its decimal form does not terminate and is shown here to 10 significant figures (more with the precision selector).
Sources
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures , Table 7 (SI prefixes); hertz, Table 4.
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Convert Radians per Second to Megahertz (rad/s to MHz). Retrieved October 25, 2026, from https://scientificconverters.com/frequency/radians-per-second-to-megahertz/
IEEE
Scientific Converters, "Convert Radians per Second to Megahertz (rad/s to MHz)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/frequency/radians-per-second-to-megahertz/