Concept explainers
ToDetermine:
Range of speeds so thatthe car safely makes the curve.
Answer to Problem 23P
Solution:
The range of speed of the vehicle so that it neither skids nor slips.
Explanation of Solution
Given:
Banked for design speed,
The radius of curvature,
The coefficient of static friction,
Formula used:
Centripetal acceleration
Where
V is speed of the vehicle
R is Radius of curve
Newton’s second law
Banking of road:
Where,
v :design speed
r :radius of the curve
g :acceleration due to gravity
Calculation:
N is the normal reaction force.
If a car istraveling at the maximum speed, then fiction force acts inward and equal to
Resolving the vertical and horizontal direction, apply Newton's second law
Apply Newton’s second law in the horizontal direction
Putting the value of Ninabove equation
Divide left side by
For
Conclusion: Hence, the minimum speed of the vehicle for safety is from
Chapter 5 Solutions
Physics: Principles with Applications
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