Answered: What is the ideal banking angle for a…

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?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter6: Applications Of Newton's Laws

Section: Chapter Questions

Problem 67P: What Is the ideal banking angle for a gentle turn of 1.20-km radius on a highway with a 105 km/h...

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Question

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?

Expert Solution

Step 1

Given data,

Radius, R=1.20 km= $1.2 \times 10^{3} m o r 1200 m$

Speed, v =105km/h = $105 \times \frac{5}{18} m s^{- 1} = 29.16 m s^{- 1}$

Ideal banking angle, $θ$ =?

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