establish relationship between angular and linear velocity
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Answer: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 but linear velocity is different for different points of the body.
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Answer:
Explanation:
Linear velocity is the measure of “the rate of change of displacement with respect to time when the object moves along a straight path.” It is a vector quantity. Dimension formula of linear velocity is [M]0[L]1[T]-1
The angular velocity is the ratio of the angle traversed to the amount of time it takes to traverse that angle.
Linear and angular velocities are related to the speed of an object based on the perspective chosen. Linear velocity is applied to an object that moves, whereas angular velocity applies to those that turn such as a wheel, the earth’s revolution or a spinning top.