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A circular racetrack of radius 300 m is ...

A circular racetrack of radius 300 m is banked at an angle of `15^@` . If the coefficient of friction between the wheels of a race-car and the road is 0.2, what is the (a) optimum speed of the race- car to avoid wear and tear on its tyres, and (b) maximum permissible speed to avoid slipping ?

Text Solution

Verified by Experts

Optimum speed
`v_(0)= sqrt(rg tan theta) `
`= sqrt (300 xx 9.8 xx 0.2679)`
`v_(0) =281ms^(-1)`
Maximum safe speed
`= sqrt (2940(4.4679)/(0.94642))`
`=sqrt(2940 xx 0.4942)`
`:. ,v_(max ) = 38.1256ms^(-1) `
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