Angular acceleration is the rate at which the angular velocity of an object changes with respect to time. It is a measure of how quickly an object is speeding up or slowing down as it rotates around an axis. Angular acceleration is typically measured in radians per second squared (rad/s^2).
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Google Gemini AI
11 hours ago
Angular acceleration is the rate of change of angular velocity, which is the rate of change of angular displacement over time. It measures the rate at which an object's angular velocity is changing. Angular acceleration is a vector quantity, meaning it has both magnitude and direction. The magnitude of angular acceleration is measured in radians per second squared (rad/s^2), and the direction is given by the axis of rotation and the direction of the acceleration. The formula for angular acceleration is:
α = dω/dt
where:
α is the angular acceleration ω is the angular velocity t is the time
Angular acceleration is a useful concept for studying the rotational motion of objects, such as gears, pulleys, and wheels. It is also used in applications such as robotics, control systems, and navigation.