Radian per minute to Degrees per hour
rad/min
°/h
Conversion History
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Quick Reference Table (Radian per minute to Degrees per hour)
| Radian per minute (rad/min) | Degrees per hour (°/h) |
|---|---|
| 0.1 | 343.774677078493956 |
| 1 | 3,437.74677078493950816 |
| 6.283 | 21,599.36296084177496064 |
| 60 | 206,264.8062470963708136 |
| 200 | 687,549.35415698790270768 |
| 600 | 2,062,648.062470963708136 |
| 6,000 | 20,626,480.6247096370812952 |
About Radian per minute (rad/min)
Radian per minute (rad/min) is an angular velocity unit equal to one sixtieth of a radian per second. It is sometimes used when describing slow rotations where rad/s would yield small decimal values. One full revolution per minute (1 RPM) equals 2π rad/min ≈ 6.283 rad/min. Slow mechanical systems such as clock hands, antenna rotators, and some industrial mixers are conveniently described in radians per minute. The unit is less common than rad/s but appears in some engineering datasheets and simulation tools.
A clock minute hand moves at 2π rad/min ≈ 6.28 rad/min (one full revolution per hour = π/30 rad/min). A turntable at 33.3 RPM rotates at ~209 rad/min.
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.
Radian per minute – Frequently Asked Questions
When would you actually use radians per minute instead of rad/s or RPM?
Rad/min sits in the sweet spot for slow mechanical systems where rad/s gives tiny decimals and RPM would require conversion back to radians for engineering calculations. Antenna rotators, concrete mixers, and slow industrial turntables might rotate at 1–10 rad/min. If you need radians for a torque equation but the spec sheet says "2 RPM," converting to 12.57 rad/min is one mental step.
What happens to astronauts' inner ears at different rad/min spin rates on a space station?
The semicircular canals in your inner ear detect angular acceleration, not steady spin. Once a rotating habitat reaches constant speed, you stop sensing the rotation — but Coriolis effects mess with your vestibular system when you move your head. Studies suggest most people tolerate up to about 12–18 rad/min (roughly 2–3 RPM) without nausea. Above ~30 rad/min, head turns cause severe disorientation. That is why proposed artificial-gravity stations like the O'Neill cylinder are designed large and slow rather than small and fast.
Why do MRI machines specify gradient coil slew rates using radians?
MRI gradient coils ramp magnetic fields that encode spatial position into the signal. The ramp rate — how fast the field changes direction — is fundamentally an angular velocity through k-space (the frequency domain of the image). Expressing it in rad/min or rad/s keeps the maths consistent with Fourier transforms at the heart of MRI reconstruction. Faster slew rates mean sharper images and shorter scan times, but push too hard and you induce nerve stimulation in the patient.
What are typical radians-per-minute values for industrial equipment?
A cement kiln rotates at roughly 6–30 rad/min (1–5 RPM). A fermentation tank stirrer might run at 30–60 rad/min. A paint-mixing paddle could spin at 600+ rad/min (~100 RPM). The slower the process, the more rad/min makes sense as a unit — you avoid the tiny decimals of rad/s while keeping the radian basis that engineers need for vibration and stress calculations.
Is radians per minute used in any scientific research?
It appears occasionally in biomechanics studies measuring joint rotation during slow movements (physical therapy exercises, yoga poses) where the motion unfolds over seconds to minutes. Some centrifuge protocols also specify ramp rates in rad/min when gradually increasing speed to avoid disturbing delicate biological samples. Outside these niches, rad/s and RPM dominate.
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.