A frequently quoted rule of thumb in aircraft design is that
wings should produce about 1000 N of lift per square meter of wing.
(The fact that a wing has a top and bottom surface does not double
its area.)
(a) At takeoff the aircraft travels at 60.0 m/s, so that the air
speed relative to the bottom of the wing is 60.0 m/s. Given the sea
level density of air to be 1.29 kg/m3, how fast (in m/s) must it
move over the upper surface to create the ideal lift? m/s
(b) How fast (in m/s) must air move over the upper surface at a
cruising speed of 245 m/s and at an altitude where air density is
one-fourth that at sea level? (Note that this is not all of the
aircraft's lift--some comes from the body of the plane, some from
engine thrust, and so on. Furthermore, Bernoulli's principle gives
an approximate answer because flow over the wing creates
turbulence.) m/s