Question

An engineer wants to design an oval racetrack such that 3.20 × 10 3 lb racecars can round the exactly 1000 ft radius turns at 102 mi/h without the aid of friction. She estimates that the cars will round the turns at a maximum of 175 mi/h. Find the banking angle θ necessary for the race cars to navigate the turns at 102 mi/h without the aid of friction.

Answer 1

The banking angle necessary for the race cars is 34.84°

Step-by-step explanation:

For normal reaction the expression is:

`\\Nsin\theta = (mv^(2) )/(R) =Fc\\tan\theta =(v^(2) )/(Rg) \\\theta =tan^(-1) ((v^(2) )/(Rg) )\\\theta =tan^(-1) (((102*0.447)^(2) )/(1000*0.3048*9.8) )=34.84`