CalcKit
Angular Acceleration Converter
Angular acceleration (α) is how fast a rotation speeds up or slows down: the change in angular velocity each second, α = Δω / Δt. Its SI unit is the radian per second squared (rad/s²), and it is also given in revolutions per second or per minute squared.
One revolution is 2π radians, and one minute is 60 seconds, so a "per minute squared" unit is 3,600 times smaller than the same "per second squared" one.
How to convert angular acceleration
Type a value into any field, and every other unit is calculated at once. For example, a motor going from 0 to 3,000 rpm in 2 seconds speeds up by 1,500 rpm each second, which is 25 r/s each second, or 25 r/s²:
-
In rad/s²: multiply by 2π.
25 × 2π = 157.1 rad/s² -
In r/min²: multiply by 3,600.
25 × 3,600 = 90,000 r/min²
Common conversions
| Value | Equals |
|---|---|
| 1 r/s² | 6.28319 rad/s² |
| 1 rad/s² | 0.159155 r/s² |
| 1 rad/s² | 572.958 r/min² |
| 1 r/min² | 0.00174533 rad/s² |
| 1 r/s² | 3,600 r/min² |
Angular acceleration units
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Revolutions per Second Squared (r/s²): The angular acceleration experienced when an object's angular velocity changes by 1 revolution per second in 1 second.
Conversion factor: 1 r/s² = 2π rad/s² = 60² r/min² = 2π * 60² rad/min² -
Revolution per Minute Squared (r/min²): The angular acceleration experienced when an object's angular velocity changes by 1 revolution per minute in 1 minute.
Conversion factor: 1 r/min² = 2π rad/min² = 1/60² r/s² = 2π/60² rad/s² -
Radian per Second Squared (rad/s²): The angular acceleration experienced when an object's angular velocity changes by 1 radian per second in 1 second.
Conversion factor: 1 rad/s² = 1/(2π) r/s² = 60² rad/min² = 60²/(2π) r/min² -
Radian per Minute Squared (rad/min²): The angular acceleration experienced when an object's angular velocity changes by 1 radian per minute in 1 minute.
Conversion factor: 1 rad/min² = 1/(2π) r/min² = 1/60² rad/s² = 1 / (2π * 60²) r/s²