角加速度
About Angular Acceleration Conversion
Angular acceleration measures how quickly rotational velocity changes—the rotational equivalent of linear acceleration. Just as linear acceleration describes how fast something speeds up in a straight line, angular acceleration describes how fast a spinning object speeds up or slows down its rotation around an axis. This quantity is governed by the rotational analog of Newton's second law: torque equals moment of inertia times angular acceleration (τ = Iα).
The SI unit is radians per second squared (rad/s²), which works directly in rotational dynamics equations. In practical applications, you might see RPM per second (how many additional revolutions per minute are gained each second) or degrees per second squared. Angular acceleration is critical in motor control and sizing, robotics joint motion planning, flywheel energy storage systems, centrifuge operation, and mechanical system design. Understanding angular acceleration helps engineers determine startup times, braking distances for rotating equipment, and motor torque requirements.
Our converter handles all standard angular acceleration units for engineering and physics applications, from electric motor specifications to spacecraft attitude control.
Common Angular Acceleration Conversions
| From | To | Multiply By |
|---|---|---|
| rad/s² | °/s² | 57.2958 (180/π) |
| °/s² | rad/s² | 0.01745 (π/180) |
| rad/s² | RPM/s | 9.5493 (30/π) |
| RPM/s | rad/s² | 0.10472 (π/30) |
| °/s² | RPM/s | 0.16667 (1/6) |
| RPM/s | °/s² | 6 |
| rev/s² | rad/s² | 6.2832 (2π) |
| rad/s² | rev/s² | 0.1592 (1/2π) |
| rev/min² | rad/s² | 0.001745 (π/1800) |
| rad/s² | rev/min² | 572.96 |
Angular Acceleration Unit Reference
Radian per second squared (rad/s²) – The SI unit of angular acceleration, representing change in angular velocity of 1 rad/s every second. Essential for physics and engineering equations because it works directly in τ = Iα (torque = moment of inertia × angular acceleration) without conversion factors. A motor producing 100 rad/s² acceleration spins up from rest to about 955 RPM in one second.
Degree per second squared (°/s²) – Angular acceleration measured in degrees per second per second. More intuitive for visualization since people naturally think in degrees, but requires conversion (multiply by π/180) for physics calculations. Common in navigation systems and robotics specifications.
RPM per second (RPM/s) – Practical unit showing how many additional revolutions per minute are gained each second. Very common in motor specifications and industrial applications because RPM is the standard speed unit in those contexts. A motor with 500 RPM/s acceleration reaches 3000 RPM in 6 seconds from rest. 1 RPM/s = π/30 rad/s² ≈ 0.1047 rad/s².
Revolution per second squared (rev/s²) – Full revolutions per second per second, useful for high-speed applications. 1 rev/s² = 2π rad/s² ≈ 6.283 rad/s². Sometimes preferred in technical contexts to clearly distinguish from electrical frequency units.
Revolution per minute squared (rev/min²) – Change in RPM per minute (rather than per second). Less common but appears in some motor datasheets and industrial specifications. Much smaller unit: 1 rev/min² = π/1800 rad/s² ≈ 0.001745 rad/s².