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A particle start from origin as shown in fig. With constant speed √2π cm/s along a circle of radius 6 cm find avg velocity for A to B.

A particle start from origin as shown in fig. With constant speed √2π cm/s along a circle of radius 6 cm find avg velocity for A to B.

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Grade:12th pass

1 Answers

Eshan
askIITians Faculty 2095 Points
5 years ago
Dears student,

Total distance travelled by particle=\dfrac{\pi R}{2}
Hence time taken to move from A to B with speed v is\dfrac{\pi R}{2v}=\dfrac{R}{2\sqrt{2}}

Total displacement of particle from A to B=\sqrt{2}R
Hence magnitude of average velocity=\dfrac{\sqrt{2}R}{R/2\sqrt{2}}=4cm/s

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