Radians Per Second to Megahertz (rad/s to MHz)

1 radian per second equals 1.591549431×10⁻⁷ megahertz (rounded).

1 radian per second = 1.591549431×10⁻⁷ megahertz

How to convert radians per second to megahertz

To convert radians per second to megahertz, multiply the number of radians per second by 1.591549431×10⁻⁷. The factor is rounded to 10 significant digits. To go the other way, multiply megahertz by 6,283,185.307 (rounded).

megahertz = radians per second × 1.591549431×10⁻⁷

Example: 10 radians per second = 0.000001591549431 megahertz.

About these units

Radian Per Second (rad/s)

ScientificCurrent unit

The SI unit of angular velocity. One full turn is 2π (about 6.283) radians, so 1 rad/s is about 0.159 Hz.

Physicists measure spin in radians per second because the angle then drops out of the equations neatly. Angular velocity is the rate of change of an angle, and its SI unit is the radian per second. Since the radian is dimensionless, the unit is dimensionally the same as 1 per second, so Wikipedia's article on angular velocity says rad/s is preferable, to avoid mixing it up with a rotation rate in hertz.

The link between the two is a factor of 2 pi. Angular velocity equals 2 pi times the frequency, so one rad/s is 1/(2 pi) hertz, about 0.159 Hz, and one hertz is about 6.283 rad/s. A disc turning at 60 revolutions per minute therefore spins at 1 Hz, which is 2 pi rad/s. The figure used on this site for the conversion is 0.15915494 hertz per radian per second, the same value to eight decimals.

1 radian per second = 0.1591549431 hertz (approximately).

Sources: Wikipedia: Angular velocity; Wikipedia: Hertz; Wikipedia: Revolutions per minute

Megahertz (MHz)

Metric (SI)Current unit

One million hertz. FM radio and older processors.

Engineers once said megacycles, and the older unit shows up in postwar papers, one 1946 study on ultrasound in liquids being titled with 15 megacycles. When hertz replaced cycles per second, the megacycle per second, Mc/s, became the megahertz. The word then entered home computing: Wikipedia notes personal computer clock speeds of around 1 MHz in the late 1970s on machines from Atari, Commodore and Apple.

A megahertz is one million hertz, the natural scale of broadcast radio. FM stations in most of the world use 87.5 to 108 MHz, with the Americas using 88 to 108 MHz and Japan using 76 to 95 MHz. In North America channels are spaced 200 kHz apart, and the FCC reassigned FM to its present band in 1945. As a way to rate computers, clock speed is criticised by many experts, who call it an easily manipulable benchmark because some chips need several cycles per operation and others perform several operations in one.

1 megahertz = 1,000,000 hertz (exactly).

Sources: Wikipedia: Megahertz; Wikipedia: FM broadcast band

Related conversions

See all frequency units.