A 3000-pound automobile is negotiating a circular interchange of radius r = 400 feet at s = 30 miles per hour (see figure). (a) Assuming the roadway is level, find the force between the tires and the road such that the car stays on the circular path and does not skid. (Use F = ma, where m = 3000/32. Round your answer to the nearest integer.) (b) Find the angle at which the roadway should be banked so that no lateral frictional force is exerted on the tires of the automobile. (Round your answer to one decimal place.
A 3000-pound automobile is negotiating a circular interchange of radius r = 400 feet at s = 30 miles per hour (see figure). (a) Assuming the roadway is level, find the force between the tires and the road such that the car stays on the circular path and does not skid. (Use F = ma, where m = 3000/32. Round your answer to the nearest integer.) (b) Find the angle at which the roadway should be banked so that no lateral frictional force is exerted on the tires of the automobile. (Round your answer to one decimal place.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
Section: Chapter Questions
Problem 4OQ: An office door is given a sharp push and swings open against a pneumatic device that slows the door...
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A 3000-pound automobile is negotiating a circular interchange of radius r = 400 feet at s = 30 miles per hour (see figure).
(a) Assuming the roadway is level, find the force between the tires and the road such that the car stays on the circular path and does not skid. (Use F = ma, where m = 3000/32. Round your answer to the nearest integer.)
(b) Find the angle at which the roadway should be banked so that no lateral frictional force is exerted on the tires of the automobile. (Round your answer to one decimal place.)
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