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SteveAngular velocity is the rate of change of an object's angular position with respect to time, while linear velocity is the rate of change of an object's linear position with respect to time. The relationship between angular velocity and linear velocity depends on the distance of the object from the axis of rotation. For an object rotating around a fixed axis, the linear velocity is equal to the angular velocity multiplied by the radius of the rotation.
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Relation between linear velocity and angular velocity?
Linear velocity is directly proportional to the radius at which the object is moving and the angular velocity of the object. The equation that represents this relationship is v = rω, where v is the linear velocity, r is the radius, and ω is the angular velocity. As the angular velocity increases, the linear velocity also increases, given the same radius.
What is relation between linear velocity and angular velocity?
Linear velocity is directly proportional to the radius of the rotating object and the angular velocity. This relationship is described by the equation v = ω * r, where v is the linear velocity, ω is the angular velocity, and r is the radius.
Relation between linear speed and angular velocity?
Linear speed is directly proportional to the radius of rotation and the angular velocity. The equation that relates linear speed (v), angular velocity (ω), and radius (r) is v = rω. This means that the linear speed increases as either the angular velocity or the radius of rotation increases.
What is the relationship between angular velocity and linear velocity in a rotating object?
The relationship between angular velocity and linear velocity in a rotating object is that they are directly proportional. This means that as the angular velocity of the object increases, the linear velocity also increases. The formula to calculate the linear velocity is linear velocity angular velocity x radius of rotation.
What is the Relation between angular velocity with radius?
Angular velocity is inversely proportional to the radius of rotation. This means that as the radius increases, the angular velocity decreases, and vice versa. Mathematically, the relationship can be expressed as ω = v/r, where ω is the angular velocity, v is the linear velocity, and r is the radius.
