Question

A circular race track of radius 300 m is banked at an angle of 15 degrees. If the coefficient of friction between the wheels of a race car and the road is 0.2, what is the optimum speed of the race car to avoid wear and tear on its tires ?

Answer 1

The optimum speed of the racing car is given as
$v_o=\sqrt{Rgtan\theta }$
here,
R = 300m .g=10m/s^2
$tan15=.26$
so,
$v_o=\sqrt{300\times 10\times 0.26}$
thus,
vo = 28.06 m/s