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A Racing Car Completes 5 Rounds of a Circular Track in 2 Minutes. Find the Radius of the Track If the Car Has Uniform Centripetal Acceleration of π2 M/S2. - Physics

A racing car completes 5 rounds of a circular track in 2 minutes. Find the radius of the track
if the car has uniform centripetal acceleration of Π2 m/s2.

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Solution

5 rounds = 2πr(5), t = 2 minutes = 120 s,

Radius (R) = ?

acp = ω2r

`:. pi^2 = v^2/r`

But v = `(2pir(5))/t = (10pir)/t`

:. `pi^2 = (100pi^2r^2)/(rt^2)`

:. r = `(120xx120)/100  = 144 m`

The radius of the track is 144 m.

Concept: Dynamics of Uniform Circular Motion - Centripetal Force
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