(a)
Find the magnitude and line of action of the propulsive thrust developed by the engine when the speed of the airplane is
(a)
Answer to Problem 14.74P
The magnitude of airplane is
The line of action of the propulsive thrust developed by the engine when the speed of the airplane is
Explanation of Solution
Given information:
The mass
The initial velocity
The velocity
Calculation:
Sketch the free body diagram of airplane as shown in Figure 1.
Refer to Figure 1.
Here, F is force that the plane exerts on the air.
Express the force that the plane exerts on air by using impulse momentum principle.
Take a moment about B,
Find the unit mass flow rate from
Here,
Substitute
Find the magnitude (F) of airplane using the relation as follows:
Substitute
Thus, the magnitude of airplane is
Find the line of action of the propulsive thrust developed by the engine when the speed of the airplane is
From Equation (2).
Substitute
Substitute
Thus, the line of action of the propulsive thrust developed by the engine when the speed of the airplane is
(b)
Find the magnitude and line of action of the propulsive thrust developed by the engine when the speed of the airplane is
(b)
Answer to Problem 14.74P
The magnitude of airplane is
The line of action of the propulsive thrust developed by the engine when the speed of the airplane is
Explanation of Solution
Calculation:
Find the magnitude (F) of airplane using the relation as follows:
Substitute
Thus, the magnitude of airplane is
Find the line of action of the propulsive thrust developed by the engine when the speed of the airplane is
Substitute
Thus, the line of action of the propulsive thrust developed by the engine when the speed of the airplane is
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Chapter 14 Solutions
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