Easily convert angular acceleration from rad/min² to rad/s². High-precision calculator includes the formula (divide by 3600) and a quick reference conversion table.
The Conversion Formula
To convert from Radian per square minute to Radian per square second, you must account for the time conversion twice because the time unit is squared in the denominator. Since there are 60 seconds in a minute, there are 60 × 60 (3,600) square seconds in a square minute.
rad/s² = rad/min² ÷ 3,600
1 rad/min² ≈ 0.000277778 rad/s²
Quick Reference Table
| Radian/square minute (rad/min²) | Radian/square second (rad/s²) |
|---|---|
| 1 rad/min² | 0.000278 rad/s² |
| 60 rad/min² | 0.016667 rad/s² |
| 3,600 rad/min² | 1.000000 rad/s² |
| 216,000 rad/min² | 60.000000 rad/s² |
| 1,296,000 rad/min² | 360.000000 rad/s² |
Contextual Information
What is Angular Acceleration?
Angular acceleration is the rate of change of angular velocity over time. Just as linear acceleration measures how fast an object's speed changes in a straight line, angular acceleration measures how fast an object speeds up or slows down while rotating. It is a fundamental concept in rotational kinematics and dynamics.
Why do we use these units?
- Radian per square second (rad/s²): This is the standard SI unit for angular acceleration. It is used in almost all scientific calculations and physics engineering projects.
- Radian per square minute (rad/min²): This unit is sometimes encountered in industrial machinery specifications or slow-rotating systems (like astronomical tracking or large-scale turbines) where minutes are a more convenient timeframe for observation.
Understanding the Math
Because the "minute" is in the denominator and is squared, the difference between these units is massive (a factor of 3,600). A machine rotating at 1 rad/min² is accelerating very slowly, whereas 1 rad/s² represents a much more rapid increase in rotational speed.