Radians per second squared to Degrees per second squared Converter
Quick answer: To convert radians per second squared to degrees per second squared, multiply by 57.29578. For example, 10 rad/s² is 572.9578 °/s². One radian per second squared equals 57.29578 °/s².
- Calculator
- Formula
- Examples
- Size compared
- About the units
- Step by step
- Popular conversions
- Reading your result
- Mistakes
- FAQ
- Related tools
- Method
Use the Radians per second squared to Degrees per second squared Converter
Radians per second squared to Degrees per second squared formula and what each symbol means
°/s² = rad/s² × 57.29578
| Symbol | Meaning |
|---|---|
| rad/s² | Radian per second squared |
| °/s² | Degree per second squared |
Radians per second squared to Degrees per second squared examples
1 rad/s²
1 rad/s² × 57.29578 = 57.29578 °/s².
10 rad/s²
10 rad/s² × 57.29578 = 572.9578 °/s².
100 rad/s²
100 rad/s² × 57.29578 = 5,729.578 °/s².
Radians per second squared compared with Degrees per second squared
One rad/s² is 57.3 times as large as one °/s², so your number gets bigger when you convert radians per second squared to degrees per second squared and smaller when you convert back. If the answer is not larger than what you typed, you divided instead of multiplying.
About radians per second squared and degrees per second squared
Radian per second squared (rad/s²): The SI unit of angular acceleration. Degree per second squared (°/s²): Degrees per second squared, π/180 rad/s².
How to calculate Radians per second squared to Degrees per second squared step by step
- Enter the value in rad/s² (the starting unit).
- Multiply by 57.29578, because 1 rad/s² = 57.29578 °/s².
- The product is the value in °/s². To go back, divide by 57.29578 or multiply by 0.01745329.
Popular angular acceleration conversions
How to read your Radians per second squared to Degrees per second squared result
Quick estimate: multiply by about 57 to get degrees per second squared from radians per second squared; this is within 0.6% of the exact factor. One revolution per second squared equals 2π rad/s², about 6.2832 rad/s², and also 360 °/s².
| RADIANS PER SECOND SQUARED | DEGREES PER SECOND SQUARED |
|---|---|
| 1 | 57.29578 |
| 2 | 114.5916 |
| 5 | 286.4789 |
| 10 | 572.9578 |
| 20 | 1,145.916 |
| 50 | 2,864.789 |
| 100 | 5,729.578 |
| 1,000 | 57,295.78 |
Degrees per second squared to Radians per second squared: quick table
| DEGREES PER SECOND SQUARED | RADIANS PER SECOND SQUARED |
|---|---|
| 1 | 0.01745329 |
| 5 | 0.08726646 |
| 10 | 0.1745329 |
| 25 | 0.4363323 |
| 50 | 0.8726646 |
| 100 | 1.745329 |
| 250 | 4.363323 |
| 500 | 8.726646 |
Common mistakes when calculating Radians per second squared to Degrees per second squared
- Confusing angular acceleration (rad/s²) with linear acceleration (m/s²); they differ by the radius.
- Dividing when you should multiply: from rad/s² to °/s² multiply by 57.29578; from °/s² to rad/s² divide by 57.29578.
Radians per second squared to Degrees per second squared FAQ
How many °/s² are in 1 rad/s²?
1 rad/s² equals 57.29578 °/s².
How many rad/s² are in 1 °/s²?
1 °/s² equals 0.01745329 rad/s².
Is 1 rad/s² = 57.29578 °/s² an exact conversion?
The factor is shown rounded to 7 significant figures (57.29578). The calculator above uses more digits.
What is a degree per second squared (°/s²)?
Degrees per second squared, π/180 rad/s².
How can I estimate radians per second squared to degrees per second squared in my head?
Quick estimate: multiply by about 57 to get degrees per second squared from radians per second squared; this is within 0.6% of the exact factor.
What is 40 rad/s² in degrees per second squared?
40 rad/s² = 2,291.831 °/s² (since 40 × 57.29578).
What is 200 rad/s² in degrees per second squared?
200 rad/s² = 11,459.16 °/s² (since 200 × 57.29578).
What is 3 rad/s² in degrees per second squared?
3 rad/s² = 171.8873 °/s² (since 3 × 57.29578).
How many decimals should I keep when converting rad/s² to °/s²?
Match the precision of your original measurement. For example, 572.9578 °/s² rounds to 573 °/s² at 3 significant figures; keep more digits only for engineering or scientific work.
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)