Question

A circular road of radius 1000 m has banking angle `45^@`. IF the coefficient of friction is between tyre and road is 0.5, then the maximum safe speed of a car having mass 2000 kg will be
A. `172 m//s`
B. `124 m//s`
C. `99 m//s`
D. `86 m//s`

Answer 1

Correct Answer - A
The maximum velocity for a banked road friction,
`v^(2)=gr((muxx tan theta )/(1-mu tan theta))` ,
`therefore v^(2)=9.8xx1000xx((0.5xx1)/(1-0.5xx1)) therefore v=172m//s`.