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Get Full Access to Precalculus With Trigonometry: Concepts And Applications - 1 Edition - Chapter 6-7 - Problem 11
Get Full Access to Precalculus With Trigonometry: Concepts And Applications - 1 Edition - Chapter 6-7 - Problem 11

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# Airplane Lift Problem: When an airplane is in flight, the air pressure creates a force

ISBN: 9781559533911 468

## Solution for problem 11 Chapter 6-7

Precalculus with Trigonometry: Concepts and Applications | 1st Edition

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Problem 11

Airplane Lift Problem: When an airplane is in flight, the air pressure creates a force vector, called the lift, that is perpendicular to the wings. When the plane banks for a turn, this lift vector may be resolved into horizontal and vertical components. The vertical component has magnitude equal to the planes weight (this is what holds the plane up). The horizontal component is a centripetal force that makes the plane go on its curved path. Suppose that a jet plane weighing 500,000 lb banks at an angle (Figure 6-7g). a. Make a table of values of lift and horizontal component for each 5 from 0 through 30. b. Based on your answers to part a, why can a plane turn in a smaller circle when it banks at a greater angle? c. Why does a plane fly straight when it is not banking? d. If the maximum lift the wings can sustain is 600,000 lb, what is the maximum angle at which the plane can bank? e. What two things might happen if the plane tried to bank at an angle steeper than in part d? Figure 6-7g

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