Degrees per hour to Degrees per second
°/h
°/s
Conversion History
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Quick Reference Table (Degrees per hour to Degrees per second)
| Degrees per hour (°/h) | Degrees per second (°/s) |
|---|---|
| 0.001 | 0.0000002777777777772 |
| 0.01 | 0.0000027777777777792 |
| 0.55 | 0.0001527777777777768 |
| 6 | 0.0016666666666666668 |
| 15 | 0.0041666666666666652 |
| 360 | 0.1000000000000000008 |
| 3,600 | 1.0000000000000000008 |
About Degrees per hour (°/h)
Degrees per hour (°/h) is used for very slow angular motions, particularly in navigation, geophysics, and astronomy. High-precision gyroscopes are rated by their drift in °/h — a navigation-grade ring-laser gyro may drift less than 0.01°/h, while a consumer MEMS gyro drifts hundreds of degrees per hour. Earth's rotation corresponds to 15°/h (360° ÷ 24 h), which is why the Sun appears to move 15° per hour across the sky. Telescope drive motors use this rate to compensate for Earth's rotation during long exposures.
Earth rotates at exactly 15°/h, so astronomical telescope drives track stars at 15°/h. Navigation-grade laser gyroscopes achieve drift below 0.01°/h. The Moon moves about 0.55°/h against the background stars.
About Degrees per second (°/s)
Degrees per second (°/s) is an angular velocity unit that replaces radians with the more intuitive degree measure. One full rotation equals 360°/s. It is widely used in navigation, robotics, gaming peripherals, and inertial measurement units (IMUs). Gyroscope sensitivity in phone and game-controller IMUs is rated in °/s. Camera pan/tilt rates in broadcast and security equipment are specified in °/s. Drone flight controllers and satellite attitude control systems also use °/s for their angular rate sensors.
A fighter jet in a tight turn can sustain 30–60°/s of heading change. Gaming mice optical sensors track rotation up to ~500°/s. A spin-stabilised satellite may rotate at a few degrees per second.
Degrees per hour – Frequently Asked Questions
How fast does the International Space Station orbit in degrees per hour?
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.
Why are gyroscope drift rates measured in degrees per hour?
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.
How do telescope mounts use the 15°/hr rate for star tracking?
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.
How fast does the Moon move across the sky in degrees per hour?
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.
Why does a Foucault pendulum appear to rotate at fewer than 15°/hr at most latitudes?
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.
Degrees per second – Frequently Asked Questions
Why do phone and game controller gyroscopes measure in degrees per second?
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.
How fast does a fighter jet turn in degrees per second?
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.
What degrees-per-second rate does a spinning basketball have?
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.
How do security cameras specify pan and tilt speed?
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.
What is the standard-rate turn in aviation and why is it exactly 3°/s?
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.