define linear Velocity and angular velocity and derive relation between them
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Linear velocity is the measure of “the rate of change of displacement with respect to time when the object moves along a straight path.”
Thus, for a given angular velocity ω, the linear velocity v of the particle is directly proportional to the distance of the particle from the centre of the circular path (i.e) for a body in a uniform circular motion, the angular velocity is the same for all points in the body
Explanation:
Angular velocity And Its Relation With Linear Velocity
We can define the angular velocity of a particle as the rate at which the particle rotates around a center point i.e., the time rate of change of its angular displacement relative to the origin.
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