Angular acceleration converter
1 rad/s² equals 57.2957795131 deg/s² and 572.957795131 rev/min². This converter handles rotational, not straight-line, acceleration and shows your value in all three units at once, for physics problems, motor spin-up specs and robot joints. Free in your browser.
- Free
- Runs in your browser
- No sign-up
- Your data stays on your device
Run — free
Worked example
- Amount
- 1
- Input angular acceleration unit
- rad_s2
- Output angular acceleration unit
- deg_s2
- Result
- 57.2957795131
- Rad per s2
- 1
- Deg per s2
- 57.2957795131
- Rev per min2
- 572.957795131
Angular acceleration conversion between SI radians per second squared, degrees per second squared, and revolutions per minute squared is a recurring chore in rotational dynamics homework, motor and drivetrain control, robotics joint planning, and flywheel or turbine spin-up reports. People search for an angular acceleration converter when they need a clean map among those three families, not a general multi-unit toolbox that also handles linear acceleration or temperature. This capability accepts one finite amount plus from and to unit labels among rad/s², deg/s², and rev/min², bridges every conversion through radians per second squared so results stay consistent, and returns the target value together with the same angular acceleration expressed in all three units. Unrecognized unit names are rejected with a clear validation error instead of silently guessing a nearby symbol.
How the angular acceleration converter maps rad/s², deg/s² and rev/min²
Start from the radian per second squared as the SI coherent unit of angular acceleration and express every other unit as a fixed factor into rad/s². One degree is defined as exactly π over one hundred eighty radians, so one degree per second squared is exactly π over one hundred eighty radians per second squared with no rounding choice in the definition itself.
One full revolution is two π radians, and one minute is sixty seconds, so one revolution per minute squared equals two π divided by thirty-six hundred radians per second squared, which simplifies to π over one thousand eight hundred. This calculator never mixes those paths ad hoc. It multiplies the input amount by the factor of the source unit to reach rad/s², then divides by the factor of the target unit to produce the result.
Because every path shares the same intermediate, converting one radian per second squared to degrees per second squared and back, or comparing motor spin-up rates quoted in revolutions per minute squared against SI control setpoints, stays numerically consistent within ordinary floating-point precision. The tool does not convert angular velocity alone, does not integrate α into ω or θ over time, does not compute torque from moment of inertia, and does not fetch measured encoder data.
It answers only the algebraic angular acceleration unit conversion people mean when they type angular acceleration converter into a search bar and expect rad/s², deg/s², and rev/min².
Where dedicated angular acceleration conversion shows up in real work
Secondary-school and college physics courses constantly assign rotational dynamics problems that give angular acceleration on one scale and ask for another, often mixing SI rad/s² with degree-based wording for classroom demos of rigid-body rotation. Mechatronics and robotics teams plan joint trajectories in radians while motor datasheets and PLC tags still quote spin-up rates in revolutions per minute squared, so a single conversion pass keeps control code and vendor sheets aligned.
Automotive and aerospace drivetrain reports may state shaft angular acceleration in deg/s² for readability while simulation tools and SI-native models expect rad/s². If you later need linear acceleration conversion, centripetal acceleration from speed and radius, or general multi-category unit conversion, treat those as separate search intents and landings rather than overloading this angular acceleration converter page.
What you can do with it
Physics homework and labs
Convert between rad/s² and deg/s² for rigid-body rotation and angular kinematics problems so SI answers and degree wording stay consistent.
Motor and robotics control
Map joint or shaft angular accelerations among rad/s², deg/s², and rev/min² for PLC tags, trajectory planners, and vendor datasheets.
FAQ
What happens if I send an unrecognized unit?
The error message includes Unrecognized unit and lists the supported families so you can correct the label.
How does one deg/s² relate to rad/s²?
Exactly π/180 rad/s². One degree is defined as π/180 radians, so the squared-time units scale by the same factor.
How does one rev/min² relate to rad/s²?
Exactly 2π/3600 rad/s² (π/1800). One revolution is 2π radians and one minute is 60 seconds, so the squared rate uses 60² in the denominator.
What does it cost?
The browser tool is free and runs locally.
Can it work out angular velocity or torque from angular acceleration?
No. It only changes the unit of an angular acceleration you already have. It does not integrate it over time into a speed or an angle, and it does not compute torque from a moment of inertia.
Related tools
For developers — API access
Everything on this page is available programmatically. This section is for teams who want to wire it into their own systems; everyone else can just use the tool above.
API endpoint
Prefer to automate it? One authenticated POST creates the task; the result comes back by webhook or a signed link. The same capability also runs here on the web, by email and from Telegram — and soon from our app too.
Call it from your stack
curl -X POST https://api.kit.forhosting.com/conv/angular-acceleration \
-H "Authorization: Bearer $KIT_KEY" \
-H "Content-Type: application/json" \
-d '{"amount":1,"from":"rad_s2","to":"deg_s2"}'const res = await fetch("https://api.kit.forhosting.com/conv/angular-acceleration", {
method: "POST",
headers: {
"Authorization": `Bearer ${process.env.KIT_KEY}`,
"Content-Type": "application/json"
},
body: JSON.stringify({
"amount": 1,
"from": "rad_s2",
"to": "deg_s2"
})
});
const { task_id } = await res.json();import os, requests
res = requests.post(
"https://api.kit.forhosting.com/conv/angular-acceleration",
headers={"Authorization": f"Bearer {os.environ['KIT_KEY']}"},
json={
"amount": 1,
"from": "rad_s2",
"to": "deg_s2"
},
)
task_id = res.json()["task_id"]<?php
$res = file_get_contents("https://api.kit.forhosting.com/conv/angular-acceleration", false, stream_context_create([
"http" => [
"method" => "POST",
"header" => "Authorization: Bearer " . getenv("KIT_KEY") . "\r\nContent-Type: application/json",
"content" => '{"amount":1,"from":"rad_s2","to":"deg_s2"}',
],
]));
$task = json_decode($res, true);body := bytes.NewBufferString(`{"amount":1,"from":"rad_s2","to":"deg_s2"}`)
req, _ := http.NewRequest("POST", "https://api.kit.forhosting.com/conv/angular-acceleration", body)
req.Header.Set("Authorization", "Bearer "+os.Getenv("KIT_KEY"))
req.Header.Set("Content-Type", "application/json")
res, _ := http.DefaultClient.Do(req)Example request
{
"amount": 1,
"from": "rad_s2",
"to": "deg_s2"
}Example response
{
"task_id": "tsk_a1b2c3d4e5f6a1b2c3d4e5f6",
"type": "conv.angular_acceleration",
"status": "queued",
"_links": {
"result": "/tasks/tsk_…/result"
}
}The API is asynchronous: the call returns a task_id immediately and the result arrives by webhook. Polling is capped at 1 req/s per task.
Pricing
Published price — no tokens, no invented credits. A failed task is never charged.
Errors
| HTTP | Code | Meaning |
|---|---|---|
401 | unauthorized | Missing or invalid API key. |
402 | insufficient_balance | Your balance doesn't cover the task price. |
404 | unknown_type | That task type doesn't exist. |
429 | rate_limited | Too many requests. Use the webhook instead of polling. |
Technical notes
What you send and what you get back from the API and browser form
Send three fields: amount, a finite number for the angular acceleration magnitude; from, a string naming the input unit; and to, a string naming the output unit. When a unit string is unknown the error message includes Unrecognized unit and lists the three supported families so clients can fix the label rather than guessing. Classic checks include one radian per second squared becoming one hundred eighty over π degrees per second squared, one degree per second squared becoming π over one hundred eighty radians per second squared, and one revolution per minute squared becoming two π over thirty-six hundred radians per second squared. Both unit fields accept short keys and everyday words in any common casing, including rad_s2 or rad/s2 or radians per second squared, deg_s2 or deg/s2 or dps2 or degrees per second squared, and rev_min2 or rev/min2 or rpm2 or revolutions per minute squared. Missing fields, non-numeric amount strings, NaN, Infinity, and unrecognized unit labels fail with invalid_input and are not charged. On success the response echoes the cleaned amount, normalized from and to keys, the primary result in the target unit, the same angular acceleration as rad_per_s2, deg_per_s2, and rev_per_min2 with twelve significant digits of stable precision, the SI factors used, the formula string, and method rad_s2_bridge. Pricing for successful API calls is the published base of $0.002 per item; validation failures do not consume prepaid balance.
Where dedicated angular acceleration conversion shows up in real work
Data pipelines that ingest mixed encoder or telemetry payloads with rad_s2, deg_s2, and rpm2 tags can call this capability once per reading instead of reimplementing the factors in every service. Because this capability is a pure parse engine, API pricing is the published base of $0.002 per successful item and failed validation does not consume balance.
Integration use cases
Drivetrain and telemetry pipelines
Normalize mixed encoder and sensor units for catalogs, APIs, and regression fixtures without reimplementing π factors in every service.
Technical questions
Which angular acceleration units does this converter support?
Radians per second squared (rad_s2), degrees per second squared (deg_s2), and revolutions per minute squared (rev_min2). Common aliases such as rad/s², dps2, and rpm2 are accepted; the response normalizes to short keys.