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Q.

A circular race track has radius $= 20 m$ and bank angle $= 37^{0}$ with horizontal. If $μ_{s} = 1 / 4$ find maximum safe speed of car (g = 10 m/s²)

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a

$10 \sqrt{\frac{32}{13}} m / s$

b

$15 \sqrt{\frac{13}{32}} m / s$

c

$30 \sqrt{\frac{13}{32}} m / s$

d

None of these

answer is A.

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Detailed Solution

$V_{\max} = \sqrt{\frac{g R (\tan θ + μ)}{1 - μ \tan θ}}$

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