1. 2. 4. Derive the equations of motion for the Boeing 747 using an orthogonal set...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
1. 2. 4. Derive the equations of motion for the Boeing 747 using an orthogonal set of coordinates that are aligned with the horizontal and vertical axes. 3. Assuming all forces act through the center of mass of the airplane (at the location shown in the figure), derive the summation of moments equation about the nose of the airplane. 5. 6. Derive the equations of motion for the Boeing 747 using an orthogonal set of coordinates that are aligned with the chord of the wing. For a 747 cruising at M-0.8 and at 30,000 ft of altitude, how much power are the engines producing to maintain steady, level flight? a) How many AA batteries would you need to replace the 4 engines? b) How much do all of those batteries weigh as compared with the 4 engines? Repeat questions (1)-(3) without assuming accelerations = 0. Solve for the accelerations of the 747. Make any needed additional assumptions that are required to solve this problem. F-GCO AIR FRANCE Horizontal D Parallel to flight path: ΣΕ ΣF parallel Perpendicular to flight path: L Chord line XT = T cosa-D-W sin 0= m T dV dt Flight path V² ΣΕ F perpendicular = L+T sin α, -W cos 0 = m ar r C 0 1. 2. 4. Derive the equations of motion for the Boeing 747 using an orthogonal set of coordinates that are aligned with the horizontal and vertical axes. 3. Assuming all forces act through the center of mass of the airplane (at the location shown in the figure), derive the summation of moments equation about the nose of the airplane. 5. 6. Derive the equations of motion for the Boeing 747 using an orthogonal set of coordinates that are aligned with the chord of the wing. For a 747 cruising at M-0.8 and at 30,000 ft of altitude, how much power are the engines producing to maintain steady, level flight? a) How many AA batteries would you need to replace the 4 engines? b) How much do all of those batteries weigh as compared with the 4 engines? Repeat questions (1)-(3) without assuming accelerations = 0. Solve for the accelerations of the 747. Make any needed additional assumptions that are required to solve this problem. F-GCO AIR FRANCE Horizontal D Parallel to flight path: ΣΕ ΣF parallel Perpendicular to flight path: L Chord line XT = T cosa-D-W sin 0= m T dV dt Flight path V² ΣΕ F perpendicular = L+T sin α, -W cos 0 = m ar r C 0
Expert Answer:
Answer rating: 100% (QA)
The provided text and associated diagram give instructions and equations related to aircraft motion specifically for the Boeing 747 The questions are designed to address various aspects of aircraft dy... View the full answer
Related Book For
Posted Date:
Students also viewed these mechanical engineering questions
-
Transaction Analysis Goal Systems, a business consulting firm, engaged in the following transactions: a. Issued common stock for $50,000 cash. b. Borrowed $10,000 from a bank. c. Purchased equipment...
-
A representation of a car's suspension suitable for modeling the bounce and pitch motions is shown in Figure, which is a side view of the vehicle's body showing the front and rear suspensions. Assume...
-
Panamint Candy Company prepared the following amortization table for $300,000 of 5-year, 9% bonds issued and sold by Panamint on January 1, 2021, for $285,000: Required: 1. Prepare the entry to...
-
Tim Collett practices law under the business title Tim Collett, Attorney at Law, Inc. During November, his law practice engaged in the following transactions: Nov 1 Sold $70,000 of common stock to...
-
Mesilla Valley Transport is a large trucking company. Mesilla Valley Transport uses the units-of-production (UOP) method to depreciate its trucks. In 2013, Mesilla Valley Transport acquired a Mack...
-
Consider the simple linear regression model for the baseball data using Team ERA as the predictor. Find the value of the PRESS statistic and the $R^{2}$ based on PRESS for this model. What...
-
NPV, IRR, and sensitivity analysis. Crumbly Cookie Company is considering expanding by buying a new (additional) machine that costs $42,000, has zero terminal disposal value and a 10-year useful...
-
Identify the major purpose of cost accounting. Know the two basic types of cost accounting systems. Know the important features of a job order cost system. Know the steps in the flow of costs. Know...
-
Using the approach described in Example 10.6, classify first record in the worksheet Records to Classify in the Excel file Credit Risk Data using the k-NN algorithm for k = 1 to 5. Use only Checking,...
-
UDP header 05 31 00 0E 00 1A E3 11 what is the total length of UDP?
-
A glass of water is mixed with ice. The moisture from the air begins to condense on the surface of glass when the temperature of water comes \(12^{\circ} \mathrm{C}\). If the room temperature and...
-
A Pelton wheel is to be designed with following specifications: Shaft power \(=10,000 \mathrm{~kW}\), Head \(=500 \mathrm{~m}\), Speed \(=500 \mathrm{rpm}\), Overall efficiency \(=85 \%\), jet...
-
A Francis turbine working under a head of 10 \(\mathrm{m}\). The overall efficiency is \(75 \%\) and power required to produce \(180 \mathrm{~kW}\). The peripheral and radial velocities at inlet are...
-
An inward flow reaction turbine rotates at 420 rpm. The wheel vanes are radial at the inlet and the inner diameter of the wheel is one-third of the outer diameter. The constant velocity of flow in...
-
A Kaplan turbine is working under a head of \(18 \mathrm{~m}\). The hub diameter is 0.25 times the runner diameter. The rpm of the turbine is 550. Runner angle at the outlet is \(15^{\circ}\) and...
-
37. (2-5)y' - 2xy = -2x(x-5), y(2) = 7 In Framicer 38 12 solve the initial value problem and leave the answ
-
The graph of an equation is given. (a) Find the intercepts. (b) Indicate whether the graph is symmetric with respect to the x-axis, the y-axis, or the origin. -3 6 -6 3 x
-
For the system shown in Figure the bottom area is A = 4 ft2 and the linear resistance is R = 1500 sec-1ft-1. Suppose the volume inflow rate is qvi = 0.2 + 0.1 sin0.002t ft3/sec Obtain the expression...
-
The lead screw (also called a power screw or a jack screw) is used to convert the rotation of a motor shaft into a translational motion of the mass m (see Figure). For one revolution of the screw,...
-
A certain radiator wall is made of copper with a conductivity k = 47 lb/sec-F at 212oF. The wall is 3/16 in. thick and has circulating water on one side with a convection coefficient h1 = 85...
-
A driver holds his hands on opposite sides of the 35-cm-diameter steering wheel in a modern sports car. A torque of 4.5 N m is required to turn the wheel. If the driver applies an equal force on...
-
A gymnast on the uneven parallel bars is at rest, tipped at a 45 angle from the vertical. The distance from her hands to her feet is 1.8 m. If we model her body as having a uniform cross section and...
-
The engine in a small airplane is specified to have a torque of 500 N m. This engine drives a 2.0-m-long, 40 kg single-blade propeller. On startup, how long does it take the propeller to reach 2000...
Study smarter with the SolutionInn App