Angular Acceleration Calculator

Find angular acceleration fast with our easy calculator. Convert between rad/s², rpm/s, and deg/s² with instant solutions.

Initial State

Initial Angular Velocity (ω₁)

Initial Time (t₁)

Final State

Final Angular Velocity (ω₂)

Final Time (t₂)

Angular acceleration tells us how fast something spins up or slows down. It measures how an object's rotation speed changes over time. Think of a fan speeding up when you turn it on that's angular acceleration in action!

Formula for Angular Acceleration

The basic formula is:

$α = \frac{ω_{2} - ω_{1}}{t_{2} - t_{1}}$

Where:

$α$ = Angular acceleration (rad/s²)
$ω_1$ = Starting angular speed (rad/s)
$ω_2$ = Final angular speed (rad/s)
$t_1$ = Start time (s)
$t_2$ = End time (s)

Real-Life Example

Picture a car’s wheels. When you hit the gas, they spin faster. The quicker they speed up, the higher the angular acceleration.

How to Use This Calculator?

Enter the starting and final angular speed.
Set the time duration.
Hit "Calculate" and get the result instantly!

Convert Angular to Linear Acceleration

Need to switch between angular and linear acceleration? Use this formula:

$a = α \times r$

Where:

$a$ = Tangential acceleration (m/s²)
$α$ = Angular acceleration (rad/s²)
$r$ = Radius (m)

Example: If a bicycle wheel spins faster and has a radius of 0.5m, you can find out how quickly its edge moves.

Unit Conversion Chart

Angular Acceleration	Formula to Convert
rad/s² (default)	-
rpm/s	$α \times \frac{60}{2\pi}$
deg/s²	$α \times \frac{180}{\pi}$

How to Measure Angular Acceleration?

Devices like gyroscopes and accelerometers help measure it. They're used in cars, planes, and even smartphones!

FAQs

How do I find angular acceleration from RPM?

Convert RPM to rad/s first:

$ω = R P M \times \frac{2 π}{60}$

Then, use the formula $α = \frac{\Delta ω}{\Delta t}$ .

What are the units of angular acceleration?

It’s measured in rad/s², rpm/s, or deg/s².

Does angular acceleration stay constant?

Not always! It changes if torque or force varies.

Final Thoughts

This Angular Acceleration Calculator makes math easy. No more guessing or long formulas just enter your values and get results instantly!

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