Angular frequency converted by one revolution equals 2*pi radians.
Radians per second to Megahertz Converter — rad/s to MHz
Convert Radians per second (rad/s) to Megahertz (MHz) using the exact conversion factor (1 radians per second = 1.591549e-7 megahertz). See the formula, worked examples, and conversion table.
Radians per second to Megahertz converter
Converter
Frequency Converter
Convert hertz, SI frequency prefixes, RPM, beats per minute, and angular frequency.
Context values
Some unit families need one extra value for a physically accurate result.
Megahertz is 1000000 hertz units.
Result = input x 0.1591549431 / 1e+6.
Frequency uses hertz as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Radians per second to Megahertz
Radians per second and Megahertz both describe how fast something cycles or rotates, and the conversion is a routine part of reading a car tachometer or motor spec sheet against a scientific frequency figure. Specifically: Angular frequency converted by one revolution equals 2*pi radians, and megahertz is 1000000 hertz units.
Formula
megahertz = radians per second × 1.591549e-7
This factor comes from each unit's defined relationship to the category's base unit: 1 radians per second equals 0.159154943092 base units, and 1 megahertz equals 1000000 base units, so dividing one by the other gives the direct radians per second-to-megahertz factor of 1.591549e-7.
Simple example
1 rad/s × 1.591549e-7 = 1.591549e-7 MHz
1 radians per second = 1.591549e-7 megahertz.
Real-world example
1,000 rad/s × 1.591549e-7 = 0.0001591549 MHz
1,000 radians per second = 0.0001591549 megahertz.
Conversion table
| Radians per second (rad/s) | Megahertz (MHz) |
|---|---|
| 60 rad/s | 0.0000095493 MHz |
| 600 rad/s | 0.000095493 MHz |
| 1,000 rad/s | 0.0001591549 MHz |
| 3,000 rad/s | 0.0004774648 MHz |
| 6,000 rad/s | 0.0009549297 MHz |
| 10,000 rad/s | 0.0015915494 MHz |
Reverse conversion: Megahertz to Radians per second
1.591549e-7 MHz × 6283185.307 = 0.9999997292 rad/s
1.591549e-7 megahertz = 0.9999997292 radians per second.
radians per second = megahertz × 6283185.30718
For a page dedicated to this direction, see Megahertz to Radians per second.
Understanding the Radians per second (rad/s)
Angular frequency converted by one revolution equals 2*pi radians.
Understanding the Megahertz (MHz)
Megahertz is 1000000 hertz units.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many megahertz are in 1 radians per second?
1 radians per second equals 1.591549e-7 megahertz, using the exact defined conversion factor rather than an estimate.
How do I convert radians per second to megahertz?
Multiply the radians per second value by 1.591549e-7. The converter above does this instantly to whatever precision you set.
How do I convert megahertz back to radians per second?
Use the reverse factor: 1 megahertz equals 6,283,185.307 radians per second. You can also use the swap control in the converter above to flip the direction instantly.
What is a radians per second?
Radians per second (rad/s) is a unit of frequency.
What is a megahertz?
Megahertz (MHz) is a unit of frequency.
Is the radians per second to megahertz conversion exact?
Yes. Both radians per second and megahertz are defined by fixed standards rather than physical artifacts, so the factor of 1.591549e-7 used above is exact to as many digits as you choose to display.