Convert Megahertz to Radians per Second (MHz to rad/s)
1 megahertz (MHz) = 6283185.307 radians per second (rad/s). 1 rad/s = 1.591549431 × 10⁻⁷ MHz. Example: 15 MHz = 15 × 6283185.307 = 94247779.61 rad/s.
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1 MHz = 6283185.307 rad/s
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk megahertz to radian per second converter to paste a column from Excel.
How to Convert Megahertz to Radian per Second
- 1 MHz = 6283185.307 rad/s
- 1 rad/s = 1.591549431 × 10⁻⁷ MHz
- Example: convert 15 MHz to rad/s: 15 MHz = 15 × 6283185.307 rad/s = 94247779.61 rad/s
Formula
rad/s = MHz × 6283185.30718
Derivation from SI units:
- 1 MHz = 10⁶ Hz.
- ω = 2πf, so 1 rad/s = 1/(2π) Hz ≈ 0.159155 Hz.
- 1 MHz = 1000000 Hz ÷ 0.1591549430919 Hz per rad/s = 6283185.30718 rad/s
Both units are defined exactly, so the factor is exact. Megahertz definition: megahertz; Radian per Second definition: radian per second.
Worked examples
- A reading of 88 MHz converts to 552920307 rad/s.
88 MHz × 6283185.307 = 552920307 rad/s - A value of 433 MHz is 2720619238 rad/s.
433 MHz × 6283185.307 = 2720619238 rad/s
Megahertz to Radian per Second conversion table
| Megahertz (MHz) | Radians per Second (rad/s) |
|---|---|
| 1 MHz | 6283185.307 rad/s |
| 8 MHz | 50265482.46 rad/s |
| 16 MHz | 100530964.9 rad/s |
| 88 MHz | 552920307 rad/s |
| 100 MHz | 628318530.7 rad/s |
| 108 MHz | 678584013.2 rad/s |
| 433 MHz | 2720619238 rad/s |
| 868 MHz | 5453804847 rad/s |
| 915 MHz | 5749114556 rad/s |
| 3200 MHz | 20106192980 rad/s |
Where it's used
Megahertz are used for FM radio and TV, while radians per second appear in angular velocity in physics and dynamics. Both measure frequency and rotational speed, so the conversion is a fixed factor.
Megahertz to other frequency units
| Conversion | 1 MHz equals |
|---|---|
| megahertz to radian per second | 6283185.307 rad/s |
| megahertz to hertz | 1000000 Hz |
| megahertz to gigahertz | 0.001 GHz |
| megahertz to revolution per minute | 60000000 rpm |
| megahertz to kilohertz | 1000 kHz |
| megahertz to revolution per second | 1000000 rps |
| megahertz to degree per second | 360000000 °/s |
| megahertz to beat per minute | 60000000 bpm |
Show 1 more units
| megahertz to terahertz | 0.000001 THz |
|---|
Frequently asked questions
How many radians per second are in 1 megahertz?
1 MHz = 6283185.307 rad/s.
How do I convert megahertz to radians per second?
Multiply the value in MHz by 6283185.307. For example, 15 MHz × 6283185.307 = 94247779.61 rad/s.
Is the MHz to rad/s 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 Megahertz to Radians per Second (MHz to rad/s). Retrieved October 25, 2026, from https://scientificconverters.com/frequency/megahertz-to-radians-per-second/
IEEE
Scientific Converters, "Convert Megahertz to Radians per Second (MHz to rad/s)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/frequency/megahertz-to-radians-per-second/