A circular road of radius $1000 \,m$ has banking angle ${45^o}$. The maximum safe speed of a car having mass $2000 \,kg$ will be, if the coefficient of friction between tyre and road is $0.5$ ....... $m/s$
Medium
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(a) The maximum velocity for a banked road with friction,
${v^2} = gr\left( {\frac{{\mu + \tan \theta }}{{1 - \mu \tan \theta }}} \right)$
$⇒$ ${v^2} = 9.8 \times 1000 \times \left( {\frac{{0.5 + 1}}{{1 - 0.5 \times 1}}} \right)$
$⇒$ $v = 172\,m/s$
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