College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Textbook Question
Chapter 12, Problem 22PE
(a) Calculate the approximate force on a square meter of sail, given the horizontal velocity of the wind is 6.00 m/s parallel to its front surface and 3.50 m/s along its back surface. Take the density of air to be 1.29 kg/m3. (The calculation, based on Bernoulli's principle, is approximate due to the effects of turbulence.) (b) Discuss whether this force is great enough to be effective for propelling a sailboat.
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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 65.0 m/s, so that the air speed relative to the bottom of the wing is 65.0 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
t
(a) Calculate the retarding force due to the viscosity of the air layer between a cart and a level air track given the following information—air temperature is 20o C, the cart is moving at 0.400 m/s, its surface area is 2.50 X 10-2 m2, and the thickness of the air layer is 6.00 X 10-5 m. (b) What is the ratio of this force to the weight of the 0.300-kg cart?
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 57.9 m/s, so that the air speed relative to the bottom of the wing is
57.9 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.)
Enter an integer or decimal number Imara
m/s
Chapter 12 Solutions
College Physics
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