About this converter
Angular acceleration measures how quickly angular velocity changes over time. Radian per square second (rad/s²) is the SI-compatible reference unit, and 1 revolution per square second equals 2π rad/s², or 6.283185 rad/s².
This converter supports radian- and revolution-based angular acceleration units for rotational dynamics. Mechanical engineers, motor designers, robotics students, and physics instructors use these conversions when analyzing flywheels, shafts, turbines, wheels, and rotating test rigs.
How to Use This Converter
- Enter the angular acceleration value.
- Select the source unit from the From menu.
- Select the target unit from the To menu.
- Read the converted result and formula line.
- Use Swap to reverse the selected units.
Units Covered
| Unit | Symbol | Common Use |
|---|---|---|
| Radian/square second | rad/s² | SI rotational dynamics, motor acceleration, and physics equations. |
| Radian/square minute | rad/min² | Slow rotational acceleration measured across minute-scale timing. |
| Revolution/square second | rev/s² | Rotational speed-up described in full turns per second squared. |
| Revolution/minute/second | rev/min/s | Motor ramp rates where RPM changes over seconds. |
| Revolution/square minute | rev/min² | Slow RPM ramp calculations and teaching examples. |
rad/s² to rev/s² Conversion Table
| From | To |
|---|---|
| 0.1 rad/s² | 0.0159155 rev/s² |
| 0.5 rad/s² | 0.0795775 rev/s² |
| 1 rad/s² | 0.159155 rev/s² |
| 2 rad/s² | 0.31831 rev/s² |
| 5 rad/s² | 0.795775 rev/s² |
| 10 rad/s² | 1.59155 rev/s² |
| 20 rad/s² | 3.1831 rev/s² |
| 50 rad/s² | 7.95775 rev/s² |
| 100 rad/s² | 15.9155 rev/s² |
| 250 rad/s² | 39.7887 rev/s² |
How to Convert rad/s² to rev/s²
Radians per square second to revolutions per square second
For example, 12 rad/s² / 6.283185 = 1.90986 rev/s².
Revolutions per square second to radians per square second
For example, 3 rev/s² x 6.283185 = 18.8496 rad/s².
When You Need to Convert Angular Acceleration
Motor drive settings may describe a ramp as RPM per second, while a dynamics equation expects rad/s². A ramp of 600 rpm/s equals 62.8319 rad/s² because 600 rpm is 10 revolutions per second.
Robotics and control engineers often convert rotational acceleration before calculating torque. If a wheel accelerates at 4 rad/s², a known moment of inertia lets the engineer estimate required torque with τ = I x α.
Physics classes use rad/s² for equations, but rotating equipment is easier to visualize in revolutions. Converting 10 rad/s² to 1.59155 rev/s² helps students connect angular acceleration to full turns per second squared.