A Body Is Moving In A Circle At A Uniform Speed v. What Is The Magnitude Of The Change In Velocity When The Radius Vector Describes An Angle ?

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Question

A body is moving in a circle at a uniform speed v. What is the magnitude of the change in velocity when the radius vector describes an angle ?

easy

Solution

Correct option is

AB and CD represent the two velocity vectors. The change in velocity is . To find , we reverse the direction of vector AB. Now,AB represents –v₁. Shift vector CD parallel to itself till its tail is at the head of vector AB. From parallelogram law, vector BE represent . The magnitude of is given by