An automobile must negotiate a frictionless banked exit ramp that has a constant…

PHYSICS · Multi-part · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

An automobile must negotiate a frictionless banked exit ramp that has a constant radius of curvature of 85 m85\,\text{m}. Highway signs indicate that the ramp is ideally designed for a speed of 12∘12^{\circ} bank angle. Assume g=9.8 m ⁣⋅ ⁣s−2g=9.8\,\text{m}\!\cdot\!\text{s}^{-2}. (a) Calculate the speed a car must maintain in order to travel through the ramp without any assistance from tire friction. (b) If a car maintained that speed while traveling all the way around a hypothetical full circle of radius 85 m85\,\text{m}, determine the time required to complete one full revolution.

Related theory

Browse the problem library