Degrees per second to Degrees per hour

Because °/s maps intuitively to human motion. Tilting your phone 90° in half a second means 180°/s — you can visualise that immediately. The same rate in rad/s (π ≈ 3.14) requires mental conversion. Consumer IMU datasheets list full-scale range in °/s (±250, ±500, ±2000°/s) because the target audience — app developers and game designers — thinks in degrees, not radians.

A standard-rate turn in aviation is 3°/s (completing 360° in two minutes), used for instrument approaches. A fighter jet in a hard combat turn can sustain 15–25°/s, and instantaneous snap rates during aggressive maneuvers can exceed 60°/s. At 20°/s in a tight bank, the pilot experiences 4–6 g of centripetal acceleration, which is near the limit of what a g-suit can compensate for.

A basketball spinning on a fingertip typically rotates at about 3–5 revolutions per second, which is 1,080–1,800°/s. The Harlem Globetrotters can push past 2,000°/s for brief showpiece spins. A professional bowler's ball rotates at roughly 300–500 RPM off the hand, which translates to about 1,800–3,000°/s. Spin rate matters for curve, grip, and the physics of the bounce.

PTZ (pan-tilt-zoom) camera specs list maximum pan speed in °/s — typically 80–400°/s for preset movement and 0.1–5°/s for manual tracking. A camera that pans at 400°/s can whip from one side to the other in under a second, useful for switching between preset positions. The slower manual range lets an operator smoothly follow a walking person without jerky motion.

A standard-rate turn (Rate One) is defined as 3°/s, completing a full 360° circle in exactly two minutes. Air traffic controllers rely on this predictable rate to space aircraft in holding patterns and instrument approaches. The turn coordinator instrument in the cockpit marks the standard rate with reference lines. Faster rates exist (Rate Two is 6°/s), but standard rate keeps the bank angle comfortable at typical airspeeds.

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.