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A model known as stopping sight distance is used by civil engineers to design roadways. This simple model estimates the distance a driver needs in order to stop his car while traveling at a certain speed after detecting a hazard. The model proposed by the American Association of State Highway and Transportation Officials (AASHTO) is given by V² S = 2g(f±G) +TV where S = stopping sight distance (ft) V = initial speed (ft/s) g = accelaration due to gravity, 32.2 ft/s? f = coefficient of friction between tires and roadways G = grade of road T = driver reaction time (s) What are the appropriate units for f and G if the preceding equation is to be homogeneous in units? Show all steps of your work.

A model known as stopping sight distance is used by civil engineers to design roadways. This simple model estimates the distance a driver needs in order to stop his car while traveling at a certain speed after detecting a hazard. The model proposed by the American Association of State Highway and Transportation Officials (AASHTO) is given by V² S = 2g(f±G) +TV where S = stopping sight distance (ft) V = initial speed (ft/s) g = accelaration due to gravity, 32.2 ft/s? f = coefficient of friction between tires and roadways G = grade of road T = driver reaction time (s) What are the appropriate units for f and G if the preceding equation is to be homogeneous in units? Show all steps of your work.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter6: Fundamental Dimensions And Units
Section: Chapter Questions
Problem 22P
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A model known as stopping sight distance is used by civil engineers to design roadways. This simple model estimates the distance a driver needs in order to stop his car while traveling at a certain speed after detecting a hazard. The model proposed by the American Association of State Highway and Transportation Officials (AASHTO) is given by V² S = 2g(f±G) +TV where S = stopping sight distance (ft) V = initial speed (ft/s) g = accelaration due to gravity, 32.2 ft/s? f = coefficient of friction between tires and roadways G = grade of road T = driver reaction time (s) What are the appropriate units for f and G if the preceding equation is to be homogeneous in units? Show all steps of your work.
Transcribed Image Text:A model known as stopping sight distance is used by civil engineers to design roadways. This simple model estimates the distance a driver needs in order to stop his car while traveling at a certain speed after detecting a hazard. The model proposed by the American Association of State Highway and Transportation Officials (AASHTO) is given by V² S = 2g(f±G) +TV where S = stopping sight distance (ft) V = initial speed (ft/s) g = accelaration due to gravity, 32.2 ft/s? f = coefficient of friction between tires and roadways G = grade of road T = driver reaction time (s) What are the appropriate units for f and G if the preceding equation is to be homogeneous in units? Show all steps of your work.
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