Angular acceleration is the rate at which an object's angular velocity changes over time. It is a vector quantity, measured in radians per second squared, and represents the object's change in rotational speed or direction. Angular acceleration is important in fields such as physics and engineering, where it is used to describe the motion of rotating objects and to calculate the torque needed to accelerate or decelerate them. Understanding angular acceleration is also important in sports such as figure skating, gymnastics, and diving, where athletes perform complex spins and rotations that require precise control of their angular acceleration.

The formula for determining the angular acceleration is defined as:

\(\alpha\) \(=\) \(\dfrac{a}{r}\)

\(\alpha\): The angular acceleration

\(a\): The linear acceleration

\(r\): the radius of the circle

The SI unit of angular acceleration is: \(radian/square \text{ } second \text{ }(rad/s^2)\)

## Find \(\alpha\)

Use this calculator to determine the angular acceleration when the linear acceleration and the radius of the circle are given.

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The linear acceleration

\(a\)

\((meter/s^2)\)

the radius of the circle

\(r\)

\(meter\)

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