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How do you find angular acceleration when all you have is angular and linear velocity and a radius of a circle? I tried to use the kinematics but all of them require time or theta.
Angular acceleration is the rate of change of angular velocity over time. It is a measure of how quickly an object's rotational speed is increasing or decreasing.
Angular acceleration measures changes in rotational speed, while linear acceleration measures changes in linear velocity. Angular acceleration is measured in radians per second squared, while linear acceleration is measured in meters per second squared.
The main factors that affect angular acceleration are the magnitude and direction of the applied torque (or force) and the moment of inertia of the object.
Angular acceleration can be calculated by dividing the change in angular velocity by the change in time. The formula is: α = (ω₂ - ω₁) / (t₂ - t₁), where α is angular acceleration, ω is angular velocity, and t is time.
Some real-life examples of angular acceleration include the spinning of a top, the rotation of a wheel on a car, and the swinging of a pendulum. In each of these cases, the objects experience a change in rotational speed, resulting in angular acceleration.