Angular Acceleration Converter
Quick answer: Choose a starting unit and a target unit, then enter a value. Common conversions: 1 rad/s² = 57.29578 °/s²; 1 rad/s² = 0.1591549 rev/s²; 1 °/s² = 0.01745329 rad/s². This converter covers 5 angular acceleration units.
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Use the Angular Acceleration Converter
Angular Acceleration formula and what each symbol means
target = value × (factor of starting unit ÷ factor of target unit), where each factor is the unit value in rad/s².
| Symbol | Meaning |
|---|---|
| value | The number you want to convert |
| factor | The unit’s size expressed in the base unit (rad/s²) |
Angular Acceleration examples
rad/s² to °/s²
10 rad/s² = 572.9578 °/s².
rad/s² to rev/s²
10 rad/s² = 1.591549 rev/s².
°/s² to rad/s²
10 °/s² = 0.1745329 rad/s².
How to calculate Angular Acceleration step by step
- Choose the starting unit and the target unit.
- Enter your value.
- Read the converted value, plus the conversion factor in both directions.
Popular angular acceleration conversions
- Radians per second squared to Degrees per second squared converter
- Radians per second squared to Revolutions per second squared converter
- Degrees per second squared to Radians per second squared converter
- Degrees per second squared to Revolutions per second squared converter
- Revolutions per second squared to Radians per second squared converter
- Revolutions per second squared to Degrees per second squared converter
How to read your Angular Acceleration result
Angular acceleration is the rate at which angular velocity changes. One revolution per second squared equals 2π rad/s², about 6.2832 rad/s², and also 360 °/s². The SI unit is the radian per second squared.
| UNIT | SYMBOL | EQUALS | VALUE OF 1 RAD/S² |
|---|---|---|---|
| Radian per second squared | rad/s² | 1 rad/s² = 1 rad/s² | 1 rad/s² |
| Degree per second squared | °/s² | 1 °/s² = 0.017453293 rad/s² | 57.29578 °/s² |
| Revolution per second squared | rev/s² | 1 rev/s² = 6.2831853 rad/s² | 0.1591549 rev/s² |
| Revolution per minute squared | rpm² | 1 rpm² = 0.0017453293 rad/s² | 572.9578 rpm² |
| Revolution per minute per second | rpm/s | 1 rpm/s = 0.10471976 rad/s² | 9.549297 rpm/s |
Common mistakes when calculating Angular Acceleration
- Mixing degrees and radians in the same calculation.
- Confusing angular acceleration (rad/s²) with linear acceleration (m/s²); they differ by the radius.
- Using rpm per second without converting rpm to rad/s first.
Angular Acceleration FAQ
How many rad/s² is 1 rev/s²?
1 rev/s² is 2π rad/s², about 6.2832 rad/s².
How many °/s² is 1 rad/s²?
1 rad/s² is about 57.2958 °/s².
How do I get linear acceleration from angular acceleration?
Multiply the angular acceleration in rad/s² by the radius in metres to get the tangential acceleration in m/s².
What is the base unit for angular acceleration?
This converter uses radian per second squared (rad/s²) as the common base unit: every value is first converted to it and then to the target unit.
How do I convert between two angular acceleration units?
Choose the starting and target units, enter the value and read the result. By hand: convert to the base unit with the table, then divide by the target unit factor.
How many degrees per second squared are in 1 radian per second squared?
1 rad/s² = 57.29578 °/s².
How many revolutions per second squared are in 1 radian per second squared?
1 rad/s² = 0.1591549 rev/s².
How many radians per second squared are in 1 degree per second squared?
1 °/s² = 0.01745329 rad/s².
Which angular acceleration units does this converter support?
It covers 5 units: radian per second squared (rad/s²), degree per second squared (°/s²), revolution per second squared (rev/s²), revolution per minute squared (rpm²), revolution per minute per second (rpm/s).
How accurate is the angular acceleration converter?
Results are calculated at full double precision and shown to about 8 significant figures. Round the answer to the precision of your original measurement; a result cannot be more accurate than the number you started with.
More in Angular Acceleration converters
- Revolutions per second squared to Radians per second squared Converter
- Degrees per second squared to Revolutions per second squared Converter
- Revolutions per second squared to Degrees per second squared Converter
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Method, review and disclaimer
Edited by: Hemant Kumar and Anjita Rai, founders of ToolsVault (SEO and content professional, not a licensed adviser). Method: this tool runs in your browser using the formula shown on this page; the numbers you enter are not sent to our servers. Sources: NIST SP 811, Appendix B.8: conversion factors, BIPM: the International System of Units (SI)