Convert Radians per second to Degrees per minute
Convert Radians per second (rad/s) to Degrees per minute (°/min) instantly and accurately.
Conversion Formula
°/min = rad/s × 3437.746771
About Radians per second
The radian per second (rad/s) is the SI coherent derived unit of angular velocity. It appears naturally in all analytical mechanics: angular frequency ω = 2πf; torque-power relation P = τω; pendulum natural frequency ωₙ = √(g/L); Bode plot frequency axis. All SI engineering software (FEM solvers, robotics middleware ROS, control system toolboxes) uses rad/s natively. Earth's rotation rate Ω⊕ = 7.292 × 10⁻⁵ rad/s. Power electronics PWM carriers at 2-20 kHz correspond to 12566-125664 rad/s. 1 rad/s ≈ 9.5493 rpm = 57.296 °/s.
About Degrees per minute
The degree per minute (°/min) equals π/10800 rad/s ≈ 2.909 × 10⁻⁴ rad/s. The sidereal tracking rate for astronomical telescopes is 0.25 °/min (15 °/h); modern robotic observatories slew at 100-400 °/min between targets. A clock's hour hand turns at 0.5 °/min; the minute hand at 6 °/min. Industrial drum conveyors for cement kilns rotate at 0.5-5 °/min; automotive power-steering columns during parking manoeuvres rotate at 30-180 °/min. 1 °/min ≈ 2.909 × 10⁻⁴ rad/s = 1/60 rpm.
Quick Reference Table
| Radians per second (rad/s) | Degrees per minute (°/min) |
|---|---|
| 1 rad/s | 3437.75 °/min |
| 2 rad/s | 6875.49 °/min |
| 5 rad/s | 17188.7 °/min |
| 10 rad/s | 34377.5 °/min |
| 25 rad/s | 85943.7 °/min |
| 50 rad/s | 171887 °/min |
| 100 rad/s | 343775 °/min |