A circular racetrack of radius 300 m is banked at an angle of 15°. What is the optimum speed of a ra

Question

A circular racetrack of radius 300 m is banked at an angle of 15°. What is the optimum speed of a race-car to avoid wear and tear on its tyres? (Take g = 9.8 m/s²)

Professor PC Thomas Classes · Answer

The optimum speed for a banked road where frictional force is not needed is $v_o = \sqrt{R g 	an	heta}$. Substituting the values gives $v_o = \sqrt{300 	imes 9.8 	imes 	an 15^\circ}$.