A banked highway is designed for traffic moving at v = 96 km/h. The radius of the curve r = 311 m. a.)Write an equation for the tangent of the highway's angle of banking. Give your equation in terms of the radius of curvature r, the intended speed of the turn v, and the acceleration due to gravity g. b)What is the angle of banking of the highway? Give your answer in degrees.
A banked highway is designed for traffic moving at v = 96 km/h. The radius of the curve r = 311 m. a.)Write an equation for the tangent of the highway's angle of banking. Give your equation in terms of the radius of curvature r, the intended speed of the turn v, and the acceleration due to gravity g. b)What is the angle of banking of the highway? Give your answer in degrees.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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A banked highway is designed for traffic moving at v = 96 km/h. The radius of the curve r = 311 m.
a.)Write an equation for the tangent of the highway's angle of banking. Give your equation in terms of the radius of curvature r, the intended speed of the turn v, and the acceleration due to gravity g.
b)What is the angle of banking of the highway? Give your answer in degrees.
Expert Solution
Step 1
Given:
The radius of the curve is 311 m.
The turning velocity is 96 km/h.
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