Degrees per second squared to Radians per second squared Converter
Quick answer: To convert degrees per second squared to radians per second squared, multiply by 0.01745329. For example, 10 °/s² is 0.1745329 rad/s². One degree per second squared equals 0.01745329 rad/s².
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Use the Degrees per second squared to Radians per second squared Converter
Degrees per second squared to Radians per second squared formula and what each symbol means
rad/s² = °/s² × 0.01745329
| Symbol | Meaning |
|---|---|
| °/s² | Degree per second squared |
| rad/s² | Radian per second squared |
Degrees per second squared to Radians per second squared examples
1 °/s²
1 °/s² × 0.01745329 = 0.01745329 rad/s².
10 °/s²
10 °/s² × 0.01745329 = 0.1745329 rad/s².
100 °/s²
100 °/s² × 0.01745329 = 1.745329 rad/s².
Degrees per second squared compared with Radians per second squared
One rad/s² is 57.3 times as large as one °/s², so your number gets smaller when you convert degrees per second squared to radians per second squared and bigger when you convert back. If the answer is not smaller than what you typed, you multiplied instead of dividing.
About degrees per second squared and radians per second squared
Degree per second squared (°/s²): Degrees per second squared, π/180 rad/s². Radian per second squared (rad/s²): The SI unit of angular acceleration.
How to calculate Degrees per second squared to Radians per second squared step by step
- Enter the value in °/s² (the starting unit).
- Multiply by 0.01745329, because 1 °/s² = 0.01745329 rad/s².
- The product is the value in rad/s². To go back, divide by 0.01745329 or multiply by 57.29578.
Popular angular acceleration conversions
How to read your Degrees per second squared to Radians per second squared result
Quick estimate: multiply by about 0.0175 to get radians per second squared from degrees per second squared; this is within 0.3% of the exact factor. Angular acceleration is the rate at which angular velocity changes.
| DEGREES PER SECOND SQUARED | RADIANS PER SECOND SQUARED |
|---|---|
| 1 | 0.01745329 |
| 2 | 0.03490659 |
| 5 | 0.08726646 |
| 10 | 0.1745329 |
| 20 | 0.3490659 |
| 50 | 0.8726646 |
| 100 | 1.745329 |
| 1,000 | 17.45329 |
Radians per second squared to Degrees per second squared: quick table
| RADIANS PER SECOND SQUARED | DEGREES PER SECOND SQUARED |
|---|---|
| 1 | 57.29578 |
| 5 | 286.4789 |
| 10 | 572.9578 |
| 25 | 1,432.394 |
| 50 | 2,864.789 |
| 100 | 5,729.578 |
| 250 | 14,323.94 |
| 500 | 28,647.89 |
Common mistakes when calculating Degrees per second squared to Radians per second squared
- Confusing angular acceleration (rad/s²) with linear acceleration (m/s²); they differ by the radius.
- Dividing when you should multiply: from °/s² to rad/s² multiply by 0.01745329; from rad/s² to °/s² divide by 0.01745329.
Degrees per second squared to Radians per second squared FAQ
How many rad/s² are in 1 °/s²?
1 °/s² equals 0.01745329 rad/s².
How many °/s² are in 1 rad/s²?
1 rad/s² equals 57.29578 °/s².
Is 1 °/s² = 0.01745329 rad/s² an exact conversion?
The factor is shown rounded to 7 significant figures (0.01745329). The calculator above uses more digits.
What is a radian per second squared (rad/s²)?
The SI unit of angular acceleration.
How can I estimate degrees per second squared to radians per second squared in my head?
Quick estimate: multiply by about 0.0175 to get radians per second squared from degrees per second squared; this is within 0.3% of the exact factor.
What is 75 °/s² in radians per second squared?
75 °/s² = 1.308997 rad/s² (since 75 × 0.01745329).
What is 300 °/s² in radians per second squared?
300 °/s² = 5.235988 rad/s² (since 300 × 0.01745329).
What is 12 °/s² in radians per second squared?
12 °/s² = 0.2094395 rad/s² (since 12 × 0.01745329).
How many decimals should I keep when converting °/s² to rad/s²?
Match the precision of your original measurement. For example, 0.1745329 rad/s² rounds to 0.175 rad/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)