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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