Megahertz is 1000000 hertz units.
Megahertz to Radians per second Converter — MHz to rad/s
Convert Megahertz (MHz) to Radians per second (rad/s) using the exact conversion factor (1 megahertz = 6,283,185.307 radians per second). See the formula, worked examples, and conversion table.
Megahertz to Radians per second 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.
Angular frequency converted by one revolution equals 2*pi radians.
Result = input x 1e+6 / 0.1591549431.
Frequency uses hertz as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Megahertz to Radians per second
Megahertz and Radians per second 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: Megahertz is 1000000 hertz units, and angular frequency converted by one revolution equals 2*pi radians.
Formula
radians per second = megahertz × 6283185.30718
This factor comes from each unit's defined relationship to the category's base unit: 1 megahertz equals 1000000 base units, and 1 radians per second equals 0.159154943092 base units, so dividing one by the other gives the direct megahertz-to-radians per second factor of 6283185.30718.
Simple example
1 MHz × 6283185.307 = 6,283,185.307 rad/s
1 megahertz = 6,283,185.307 radians per second.
Real-world example
1,000 MHz × 6283185.307 = 6,283,185,307 rad/s
1,000 megahertz = 6,283,185,307 radians per second.
Conversion table
| Megahertz (MHz) | Radians per second (rad/s) |
|---|---|
| 60 MHz | 376,991,118.4 rad/s |
| 600 MHz | 3,769,911,184 rad/s |
| 1,000 MHz | 6,283,185,307 rad/s |
| 3,000 MHz | 18,849,555,920 rad/s |
| 6,000 MHz | 37,699,111,840 rad/s |
| 10,000 MHz | 62,831,853,070 rad/s |
Reverse conversion: Radians per second to Megahertz
1 rad/s × 1.591549e-7 = 1.591549e-7 MHz
1 radians per second = 1.591549e-7 megahertz.
megahertz = radians per second × 1.591549e-7
For a page dedicated to this direction, see Radians per second to Megahertz.
Understanding the Megahertz (MHz)
Megahertz is 1000000 hertz units.
Understanding the Radians per second (rad/s)
Angular frequency converted by one revolution equals 2*pi radians.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many radians per second are in 1 megahertz?
1 megahertz equals 6,283,185.307 radians per second, using the exact defined conversion factor rather than an estimate.
How do I convert megahertz to radians per second?
Multiply the megahertz value by 6283185.307. The converter above does this instantly to whatever precision you set.
How do I convert radians per second back to megahertz?
Use the reverse factor: 1 radians per second equals 1.591549e-7 megahertz. You can also use the swap control in the converter above to flip the direction instantly.
What is a megahertz?
Megahertz (MHz) is a unit of frequency.
What is a radians per second?
Radians per second (rad/s) is a unit of frequency.
Is the megahertz to radians per second conversion exact?
Yes. Both megahertz and radians per second are defined by fixed standards rather than physical artifacts, so the factor of 6283185.307 used above is exact to as many digits as you choose to display.