Kilohertz to Degrees per hour

The Nyquist theorem requires a sample rate at least twice the highest frequency you want to capture. Human hearing tops out near 20 kHz, so you need at least 40 kHz. The extra 4.1 kHz provides headroom for the anti-aliasing filter to roll off. The specific number 44,100 was chosen because it factored neatly into the video frame rates of the PAL and NTSC systems used to store digital audio on videotape during early CD mastering.

Kilohertz (kHz) measures oscillation frequency — cycles per second. Kilobits per second (kbps) measures data throughput — bits transferred per second. A 44.1 kHz audio sample rate means 44,100 snapshots per second, but each snapshot may be 16 bits, yielding 705.6 kbps for one channel. The two units describe fundamentally different things: how fast something vibrates vs. how fast data flows.

AM radio was developed first and was allocated the medium-frequency band (535–1,705 kHz) because those wavelengths travel long distances by bouncing off the ionosphere at night. FM came later and was assigned the VHF band (87.5–108 MHz) — higher frequency means shorter range but much better audio fidelity and resistance to static. The allocation reflects both physics and regulatory history.

Yes. A typical dog whistle emits ultrasound between about 23 and 54 kHz — well above the human ceiling of ~20 kHz but within a dog's hearing range, which extends to roughly 65 kHz. Some "silent" whistles do leak a faint hiss that keen human ears pick up, but the dominant output is ultrasonic. Cats hear even higher, up to about 85 kHz.

Traditional landline phone calls sample voice at 8 kHz, which by Nyquist captures frequencies up to 4 kHz. Human speech intelligibility lives mostly between 300 Hz and 3,400 Hz, so 8 kHz is just enough. It is why phone calls sound muffled compared to in-person conversation — you lose all the higher harmonics that make a voice sound natural. HD Voice (VoLTE) bumps the rate to 16 kHz, doubling the bandwidth and noticeably improving clarity.

The ISS completes one orbit (360°) in about 92 minutes, giving roughly 235°/hr — almost 16 times faster than Earth's rotation. That is why astronauts see 16 sunrises every 24 hours. At an altitude of ~408 km, the station covers about 7.66 km/s of ground track. If you could watch it from a fixed point in space, it would visibly sweep through the sky at a rate where one degree takes only about 15 seconds.

Because even tiny drift accumulates into serious navigation errors over a flight or voyage. A navigation-grade ring-laser gyroscope drifts less than 0.01°/hr; over a 10-hour flight that is only 0.1° of heading error. A cheap MEMS gyro drifting 10°/hr would accumulate 100° of error in the same time — useless for navigation. Expressing drift in °/hr makes the operational impact immediately obvious to a pilot or engineer.

Equatorial telescope mounts have a motorised right-ascension axis aligned with Earth's rotation axis. By driving that axis at exactly 15°/hr (one sidereal rate), the telescope counter-rotates against Earth's spin, keeping a star fixed in the eyepiece. Without this drive, stars would drift out of view in seconds at high magnification. Astrophotographers rely on it for long exposures without star trails.

The Moon's apparent motion has two components. It shares the sky's overall 15°/hr westward motion due to Earth's rotation. But it also orbits Earth, moving about 0.55°/hr eastward relative to the stars (360° ÷ 27.32 days ÷ 24 hr). The net effect: the Moon moves westward across the sky at roughly 14.5°/hr, which is why moonrise occurs about 50 minutes later each day.

A Foucault pendulum's swing plane rotates relative to the floor at 15° × sin(latitude) per hour. At the North Pole (90°) that is the full 15°/hr; at 45° latitude it is about 10.6°/hr; at the equator it is zero. The pendulum always swings in a fixed plane in inertial space — it is the Earth rotating underneath it. The sine factor comes from the fact that only the vertical component of Earth's angular velocity vector projects into the pendulum's swing plane. Paris (48.9°N) sees about 11.3°/hr, which is why Foucault's original 1851 demonstration took most of a day to complete a visible rotation.