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A racing car competes 5 rounds of a ...

A racing car competes 5 rounds of a circular track in 2 minute . What is the radius of the track if the car has uniform centripetal acceleration of `pi ^(2) m//s ^2` ?

A

120m

B

144m

C

160m

D

80m

Text Solution

Verified by Experts

The correct Answer is:
B
Period of revolution `,T=(2xx60)/( 5 ) = 24 s`
`C.P ` acceleration `= (v^2)/(r )= r omega ^2 = r . (4pi^2)/(T^2)`
` therefore pi ^(2) = (4 pi ^(2)r)/(T^(2)) " " therefore r= (T^(2))/(4)=(24xx24)/(4) =144m`
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