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# Angular Acceleration Calculator

Last updated: Monday, May 01, 2023
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Angular Acceleration
Using Linear Acceleration

Angular acceleration refers to the rate of change of angular velocity over time. Angular velocity is a vector quantity that describes the rate of rotation of an object around an axis. If an object rotates with a constant angular acceleration, then its angular velocity increases or decreases at a constant rate. The angular acceleration is measured in radians per second squared (rad/s^2) and is calculated by dividing the change in angular velocity by the time taken.

An angular acceleration calculator can be used to determine the angular acceleration of an object given its initial and final angular velocities and the time taken for the change in velocity. This is useful in various fields such as physics, engineering, and robotics.

For example, in robotics, knowledge of the angular acceleration of a robotic arm is important for precise and controlled movements. Similarly, in physics, understanding the angular acceleration of a rotating body is crucial in studying its behavior and motion.

The formula for determining the angular acceleration is defined as:
$$\alpha$$ $$=$$ $$\dfrac{w_2 - w_1}{t}$$
$$\alpha$$: the angular acceleration
$$w_1$$: the initial angular velocity/speed
$$w_2$$: the final angular velocity/speed
$$t$$: the time
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 of an object when its initial, final angular speed and the time duration are given.
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the initial angular velocity/speed
$$w_1$$
$$radian/second$$
the final angular velocity/speed
$$w_2$$
$$radian/second$$
the time
$$t$$
$$time$$
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