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What is the ideal banking angle for a gentle turn of 1.20

Chapter 6, Problem 25

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QUESTION:

Problem 25PE

What is the ideal banking angle for a gentle turn of 1.20 km radius on a highway with a 105 km/h speed limit (about 65 mi/h), assuming everyone travels at the limit?

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QUESTION:

Problem 25PE

What is the ideal banking angle for a gentle turn of 1.20 km radius on a highway with a 105 km/h speed limit (about 65 mi/h), assuming everyone travels at the limit?

ANSWER:

Solution 25PE :

Step 1 of 3:-

        The radius of the curve is, .

        The speed is, .

        While moving through the curve, the normal component which is the weight of the vehicle is,

        -------------------(1)

        And --------------------(2) (the centripetal force).

        Here is the bending angle which has to be determined.

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