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Question: A particle moves with a speed v in a circle of radius R. The particles reach from A to B as shown in...

A particle moves with a speed v in a circle of radius R. The particles reach from A to B as shown in figure.

The Y component of average velocity is -

A

2vπ\frac{2v}{\pi}

B

vπ- \frac{v}{\pi}

C

2vπ- \frac{2v}{\pi}

D

Zero

Answer

vπ- \frac{v}{\pi}

Explanation

Solution

Time taken = πRv\frac{\pi R}{v}

Displacement in Y direction = – R

Component of Average velocity

= RπR/v\frac{- R}{\pi R/v} = vπ- \frac{v}{\pi}