A 1038- kg} car and a 2080-{ kg} pickup truck approach a curve on the expressway

Question

A 1038- kg} car and a 2080-{ kg} pickup truck approach a curve on the expressway that has a radius of 286 { m}.
At what angle should the highway engineer bank this curve so that vehicles traveling at 60.0 { m mi/h} can safely round it regardless of the condition of their tires?
As the car and truck round the curve at 60.0 { m mi/h}, find the normal force on the car to the highway surface.
As the car and truck round the curve at 60.0 { m mi/h}, find the normal force on the truck to the highway surface.

Explanation / Answer

Given mass of the car A = 1038 mass of the truck B = 2080 radius of the circular expressway r = 286 (a) Now the Banking angle of roads tan? = V^2/rg...... (1) veloicty of the both = 60 from equation 1 ? = tan^-1(V^2/rg) = tan^-1((60)^2/286*9.8) = tan^-1 (1.28) = 52.09degrees (b) Normal force applied by the car on road N = mgcos? = 1038*9.8*cos52.09 = 6250.155 N (C) Normal force applied by the truck on road N = mgcos? = 2080*9.8*cos52.09 = 12524.4 N Note: please write proper units while you post the problem.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.