Question

a racing car completely 5 rounds of circular track in 2minutes find the radius of the track if the car has uniform centripetal acceleration of π 2 square m/s 2 squre​

Answer 1

Solution :

$\dag \underline{ \boxed{ \sf{ \red{Given}}}} \dag$

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

$\dag \underline{ \boxed{ \sf{ \purple{To \: find}}}} \dag$

$\implies \sf \: Radius (R)$

$\dag \underline{ \boxed{ \sf{ \blue{Formulae}}}} \dag$

$\implies \sf \: acp = ω2 r$

$\underline{ \boxed{ \sf{ {Calculation:From \: formula,}}}}$

$= \sf \: acp = ω2r$

$= \sf \: ∴ \pi {}^{2} = \frac{v {}^{2} }{r}$

$= \sf \: But \: V = \frac{2π(5)}{t} = \frac{10πr}{t}$

$\sf = ∴ π2 = \frac{100π {}^{2} r {}^{2} }{rt {}^{2} }$

$\sf= ∴ r = \frac{120×120}{100} = 144 m$

★ The radius of the track is 144 m.

$\dag \underline{ \boxed{ \sf{ \purple{★Concept \: is \: cleared★}}}} \dag$