A particle starts from points A with constant speed V on a circle of radius R find magnitude of average velocity after half revolution

\frac{2 v}{π}

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\frac{3 v}{4 π}

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3 \sqrt{3 v}

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\frac{3 \sqrt{3 v}}{2 π}

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Solution

The correct option is A $\frac{2 v}{π}$
Diameter= $2 \times r a d i u s$ $= 2 R$
Distance covered $=$ Half the circumference $= π R$
Speed $=$ Distance $/$ Time
Time $=$ Distance $/$ Speed $= π R / V$
Average Velocity $=$ Total Displacement $/$ Total Time
$= 2 R \times V / π R$
$= 2 V / π$
Hence,
option $(A)$ is correct answer.

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A particle starts from points A with constant speed V on a circle of radius R find magnitude of average velocity after half revolution

The correct option is A 2vπDiameter=2×radius =2RDistance covered = Half the circumference =πRSpeed =Distance / TimeTime = Distance / Speed =πR/VAverage Velocity = Total Displacement / Total Time=2R×V/πR=2V/πHence,option (A) is correct answer.