77. A car rounds an unbanked curve of radius 65 m. If the coefficient of static friction between the road and car is 0.70, what is the maximum speed at which the car traverse the curve without slipping?
77. A car rounds an unbanked curve of radius 65 m. If the coefficient of static friction between the road and car is 0.70, what is the maximum speed at which the car traverse the curve without slipping?
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
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Ch.6 Problem 77
Transcribed Image Text:**Problem 77:**
A car rounds an unbanked curve of radius 65 m. If the coefficient of static friction between the road and car is 0.70, what is the maximum speed at which the car can traverse the curve without slipping?
**Problem 78:**
A banked highway is designed for traffic moving at 90.0 km/h. The radius of the curve is 310 m. What is the angle of banking of the highway?
**Explanation:**
These problems explore the concepts of circular motion, friction, and banking of curves.
- In Problem 77, the focus is on determining the maximum speed a car can achieve on a flat curve without slipping, using the friction between the tires and the road.
- In Problem 78, the task is to find the optimal banking angle of a highway curve based on a given speed and radius to minimize reliance on friction and enhance safety.
Both scenarios require an understanding of the forces acting on vehicles in circular motion, including centripetal force and the role of friction or gravity in preventing slippage.
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