NAME_________________________________ CLASS____________________
DATE____________
- What is the length of a Boeing 747-400 domestic airplane?
Length = __________
- Let us suppose that the approximate weight distribution
(function) on a loaded 747-400 domestic airplane is given by the
equation,
w(x) = 700 sin(2px / L) +
42,850,
where x is the distance measured from the nose of the airplane.
Graph the weight distribution.
- What is the total weight W of the airplane?
- Use the equation,
to calculate the center of gravity of the airplane. The
integration is calculated for x = 0 (nose) to Length (tail).
[ Hint: Use integration by parts.]
cg = __________________
- Let us suppose that the approximate weight distribution
(function) on a loaded 747-400 domestic airplane is given by the
equation,
w(x) = 777 ( cos(2px / L) +
sin(2px / L) ) + 42,850,
where x is the distance measured from the nose of the airplane.
Graph the weight distribution.
- What is the total weight W of the airplane?
- How does the weight calculated in Problem 3 compare with the
weight in Problem 6? Explain why this is so.
Use the equation,
to calculate the center of gravity of the airplane with the new
weight distribution. The integration is calculated for x = 0
(nose) to Length (tail). [ Hint: Use integration by
parts.]
cg = _____________
- Did the center of gravity move?
- If so, did it move toward the airplane's nose or
tail?
- If not, why did it stay in the same position?
- If the airplane's center of gravity moved significantly during
flight, do you think the pilot would notice it? Why or why
not?