(a) Explanation Given information: The mass ( m ) of the jet airplane is 16 Mg The speed ( v A ) of the jet airplane is 774 km / h The angle ( α ) of inclination is 18 ° . The air is scooped at a rate ( d m d t ) is 300 kg / s . The discharge speed ( v B ) of air with relative to plane is 665 m / s . Calculation: Find the propulsive force using velocities to the airplane as follows: F = d m d t ( v B − v A ) (1) Substitute 300 kg / s for d m d t , 774 km / h for v A , and 665 m / s for ( v B ) in Equation (1). F = 300 ( 665 − 774 km / h × ( × 1 hr 3600 s × 1000 m 1 km ) ) = 300 ( 665 − 215 ) = 135 , 000 N Sketch the free body diagram as shown in Figure 1. Since there is no acceleration while the airplane is climbing, the force is in equilibrium. Refer to Figure 1. ∑ F = 0 F − D − m g sin α = 0 F − D = m g sin α (2) Substitute 16 Mg for m , 9.81 m / s 2 for g , and 18 ° for θ in Equation (2) (b) To determine Find the maximum speed in horizontal flight.

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ISBN: 9781260265453

Author: BEER

Publisher: MCG

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Chapter 14.3, Problem 14.76P

(a)

To determine

Find the initial acceleration of the plane.

(b)

To determine

Find the maximum speed in horizontal flight.

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Chapter 14.3, Problem 14.75P

Chapter 14.3, Problem 14.77P

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Chapter 14 Solutions

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Find the initial acceleration of the plane.

Solution Summary: The author calculates the propulsive force using velocities to the airplane.

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Find the initial acceleration of the plane.

Find the maximum speed in horizontal flight.

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Chapter 14 Solutions