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Angular velocity is a measure of how fast an object is rotating around a fixed point, such as an axis or a center of rotation. It is typically measured in radians per second (rad/s) or degrees per second (deg/s).
Angular velocity and linear velocity are related through the radius of rotation. The linear velocity of an object is equal to the angular velocity multiplied by the radius of rotation. This means that as the radius of rotation increases, the linear velocity also increases.
Angular velocity can be calculated by dividing the change in angle by the change in time. This is represented by the formula: ω = Δθ/Δt, where ω is the angular velocity, Δθ is the change in angle, and Δt is the change in time.
The angular velocity of a ball is affected by the radius of rotation, the angular acceleration, and the moment of inertia. The radius of rotation is the distance from the center of rotation to the object. Angular acceleration is the rate of change of angular velocity, and moment of inertia is a measure of an object's resistance to changes in its rotation.
Gravity does not directly affect the angular velocity of a ball. However, it does affect the linear velocity of the ball, which in turn affects the angular velocity. This is because as the ball falls, its radius of rotation decreases, causing an increase in angular velocity.