Question

How is velocity of a body in uniform circular motion related to its time period

Answer 1

When a particle undergoes uniform circular motion, it has both linear and angular velocity.The linear velocity is the velocity of particle at any instant (represented by u or v). It's direction at any point on the circle is along the tangent to that point.The angular velocity is the rate of change of angle swept by the particle from centre with time (represented by ) .Angular velocity  =  ,where  is the angle swept in 1 complete rotation (in radians) and T is the time taken for one complete rotation (Also called as Time period)now the relationship between linear and angular velocity is where r is the radius of the circular pathsubstituting the value of  in above relation.v = r 

Answer 2

Explanation:

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