Answered: The weight of an airplane varies with…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The weight of an airplane varies with the cube of the plane’s length. The lift generated by an airplane’s
wings varies with the square of the plane’s length. Will a different airplane with the same constants be able to fly if it is 75 feet long?

Expert Solution

Step 1

Given:

Weight of an airplane varies with the cube of the plane's length:

W $\propto$ L³

W = k $\times$ L³

Lift generated by an airplane's wings varies with the square of the plane's length:

H $\propto$ L²

H = a $\times$ L²

where, k and a are some constants.

To find:

if a different airplane with the same constants will be able to fly if it is 75 feet long?

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