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The takeoff speed for an Airbus A320 jetliner is 80 m/s.
Chapter 2, Problem 40P(choose chapter or problem)
Problem 40P
The takeoff speed for an Airbus A320 jetliner is 80 m/s. Velocity data measured during takeoff are as shown.
a. What is the takeoff speed in miles per hour?
b. Is the jetliner’s acceleration constant during takeoff? Explain.
c. At what time do the wheels leave the ground?
d. For safety reasons, in case of an aborted takeoff, the runway must be three times the takeoff distance. Can an A320 take off safely on a 2.5-mi-long runway?
(s) |
vx (m/s) |
0 |
0 |
10 |
23 |
20 |
46 |
30 |
69 |
Questions & Answers
QUESTION:
Problem 40P
The takeoff speed for an Airbus A320 jetliner is 80 m/s. Velocity data measured during takeoff are as shown.
a. What is the takeoff speed in miles per hour?
b. Is the jetliner’s acceleration constant during takeoff? Explain.
c. At what time do the wheels leave the ground?
d. For safety reasons, in case of an aborted takeoff, the runway must be three times the takeoff distance. Can an A320 take off safely on a 2.5-mi-long runway?
(s) |
vx (m/s) |
0 |
0 |
10 |
23 |
20 |
46 |
30 |
69 |
ANSWER:
Step 1 of 2
A. we have to convert the \(80 \mathrm{~m} / \mathrm{s}\) to \(\mathrm{mph}\) where one mile per hour is equal to \(1.60934\) kilometer per hour and one hour is equal to \(3600 \mathrm{~s}\).
\(=80 \mathrm{~m} / \mathrm{s} \times \frac{1 \text { mile }}{1.60934 \mathrm{k} / \mathrm{h}} \times(3600 \mathrm{~s} / \mathrm{h})\)
\(=178.955 \mathrm{mph}\)
B. Yes, the acceleration is constant
C. From the table at every \(23 \mathrm{~m} / \mathrm{s}\) at the time of \(10 \mathrm{~s}\)
\(a=\frac{v}{t}\) where \(a\) is the acceleration, \(v\) is the velocity and \(t\) is the time in seconds.
\(a=\frac{23 \mathrm{~m} / \mathrm{s}}{10 \mathrm{~s}}=2.3 \mathrm{~m} / \mathrm{s}\) the wheels leave the ground.