Explanation In the given table, the width w and lift L of the three model airplane wings are recorded. As the lift L of the airplane is directly proportional to the square of the width w, the direct proportion is given by, L = k w 2 ( ∵ L denotes the lift of the airplane wings, w denotes the width and k is the constant of proportionality . ) ... ( 1 ) It is given that, for the lift L of 20 N the width is 20 cm . Therefore, the value of k is obtained by substituting all the known values of lift and width in the equation (1) as follows. L = k w 2 10 = k ( 20 ) 2 k = 10 200 k = 0.025 Now, for the Lift L of 40 N and width 40 cm , the value of k is obtained as, L = k w 2 40 = k ( 40 ) 2 k = 40 40 2 k = 1 40 = 0

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Chapter 18.2, Problem 44E

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The equation L=f(w) which relates the lift L of airplane wings and their width then explain the reason whether it is necessary to use some particular pair of values for the calculation of proportionality constant k.

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Chapter 18.2, Problem 43E

Chapter 18.2, Problem 45E

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The equation L = f ( w ) which relates the lift L of airplane wings and their width then explain the reason whether it is necessary to use some particular pair of values for the calculation of proportionality constant k.

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The equation L=f(w) which relates the lift L of airplane wings and their width then explain the reason whether it is necessary to use some particular pair of values for the calculation of proportionality constant k.

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Chapter 18 Solutions