A particle is moving in a circle of radius \( R \) with constant speed. The time period of the p...

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A particle is moving in a circle of radius \( R \) with constant speed. The time period of the particle is \( T=1 \). In a time \( t=T / 6 \), if the difference between average speed and average velocity of the particle is \( 2 \mathrm{~m} \mathrm{~s}^{-1} \), find the radius \( R \) of the circle (in meters).
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