Megahertz to Radian per hour

IBM needed a clock that could derive both the CPU timing and the NTSC color-burst frequency (3.579545 MHz) for the built-in composite video output. Multiplying the color-burst frequency by 4/3 gave 4.77 MHz — a convenient compromise that let one crystal oscillator serve two purposes. The weird number was pure engineering pragmatism, not performance targeting.

The 433.05–434.79 MHz range is an ISM (Industrial, Scientific, Medical) band that is license-free in most of Europe. Cheap remote-control key fobs, weather stations, garage door openers, and IoT sensors all crowd into it because you can legally transmit at low power without a radio license. In the US, the equivalent unlicensed band is 315 MHz, which is why European and American car key fobs are not interchangeable.

AM encodes audio by varying the wave's amplitude, which is vulnerable to electrical interference (lightning, motors). FM varies the frequency instead, making it inherently noise-resistant. FM also has a wider channel bandwidth (200 kHz vs. AM's 10 kHz), allowing it to carry the full 20–15,000 Hz audio spectrum in stereo. The MHz carrier frequency itself isn't what improves quality — it's the modulation method and bandwidth.

Intel and AMD marketed processors by clock speed — 500 MHz, 1 GHz, 2 GHz — implying faster was always better. By 2004, Intel's Pentium 4 hit 3.8 GHz but ran so hot and consumed so much power that performance-per-watt cratered. The industry pivoted to multi-core designs: instead of one core at 4 GHz, you got two or four cores at 2 GHz each, doing more total work with less heat. Raw megahertz stopped being a useful buying metric.

Bluetooth operates in the 2.4 GHz ISM band (2,400–2,483.5 MHz), which is reserved globally for unlicensed use. This avoids the need for regulatory approval in each country. The trade-off is sharing the band with Wi-Fi, microwaves, and baby monitors. Bluetooth mitigates interference by hopping between 79 channels 1,600 times per second — if one frequency is jammed, it has already moved on.

When the object moves so slowly that rad/s and even rad/min produce inconveniently small numbers. Earth's rotation is 0.2618 rad/hr — much friendlier than 7.27 × 10⁻⁵ rad/s. Astronomical telescope tracking, tidal lock studies, and satellite orbital mechanics often involve motions where one rotation takes hours, days, or longer. Rad/hr keeps the numbers readable while preserving the radian basis.

The Moon completes one orbit (2π radians) in about 27.32 days, or roughly 655.7 hours. That gives approximately 0.00958 rad/hr. Compared to Earth's rotation at 0.2618 rad/hr, the Moon's orbital angular speed is about 27 times slower — which is why moonrise drifts about 50 minutes later each day.

Tectonic plates move at a few centimeters per year, but because they sit on a sphere, that linear drift corresponds to a tiny angular rotation about an Euler pole. The fastest plate — the Pacific — rotates at roughly 10⁻⁸ rad/hr (about 0.00000001 rad/hr). That is around a billion times slower than a clock hour hand. Geophysicists describe plate motion this way because angular velocity around an Euler pole neatly captures both the speed and the curved trajectory of every point on the plate.

A geostationary satellite orbits Earth once per sidereal day (~23.934 hours), matching Earth's rotation. Its angular speed is 2π ÷ 23.934 ≈ 0.2625 rad/hr — essentially the same as Earth's surface rotation. That is the whole point: the satellite appears stationary over one spot on the equator because it rotates at the same angular velocity as the ground below it.

Not typically as a primary readout, but it appears in computed outputs from navigation software, satellite tracking systems, and geophysics simulations. Inertial navigation units report gyro drift budgets in °/hr (degrees per hour), and converting to rad/hr is a single multiplication. The unit is more common in calculations and papers than on any physical gauge dial.