The maximum speed a driver can travel on the banked curve on the Daytona Speedway is 45 m/s without using friction between his tires and the road to make the turn.The radius of the turn is 301m.What is the angle of the bank relative to the horizontal? A)47^o B)43^o C)34^o D)31^o

Question

Quizplus · Accepted Answer

We can find the angle of the bank using the formula:

θ = tan⁻¹(v²/rg)

where θ is the angle of the bank, v is the speed of the car, r is the radius of the turn, and g is the acceleration due to gravity.

Plugging in the given values, we get:

θ = tan⁻¹((45 m/s)²/((301 m)(9.81 m/s²)))

θ ≈ 34.1°

Therefore, the answer is choice C, 34°.

The Maximum Speed a Driver Can Travel on the Banked