Chapter 10: Q11P (page 260)
(I) (a) Calculate the total force of the atmosphere acting on the top of a table that measures 1.7m× 2.6m. (b) What is the total force acting upward on the underside of the table?
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(I) What is the approximate mass of air in a living room 5.6× 3.6× 2.4m?
An airplane has a mass of \({\bf{1}}{\bf{.7 \times 1}}{{\bf{0}}^{\bf{6}}}\;{\bf{kg}}\) and the air flows past the lower surface of the wings at 95 m/s. If the wings have a surface area of \({\bf{1200}}\;{{\bf{m}}^{\bf{2}}}\), how fast must the air flow over the upper surface of the wing if the plane is to stay in the air?
Four lawn sprinkler heads are fed by a 1.9-cm-diameter pipe. The water comes out of the heads at an angle of 35° above the horizontal and covers a radius of 6.0 m. (a) What is the velocity of the water coming out of each sprinkler head? (Assume zero air resistance.) (b) If the output diameter of each head is 3.0 mm, how many liters of water do the four heads deliver per second? (c) How fast is the water flowing inside the 1.9-cm-diameter pipe?
(II) In a movie, Tarzan evades his captors by hiding underwater for many minutes while breathing through a long, thin reed. Assuming the maximum pressure difference his lungs can manage and still breathe is –85 mm-Hg, calculate the deepest he could have been.
In Fig. 10-54, take into account the speed of the top surface of the tank and show that the speed of fluid leaving an opening near the bottom is \({{\bf{v}}_{\bf{1}}}{\bf{ = }}\sqrt {\frac{{{\bf{2gh}}}}{{\left( {{\bf{1 - A}}_{\bf{1}}^{\bf{2}}{\bf{/A}}_{\bf{2}}^{\bf{2}}} \right)}}} \),
where \({\bf{h = }}{{\bf{y}}_{\bf{2}}} - {{\bf{y}}_{\bf{1}}}\), and \({{\bf{A}}_{\bf{1}}}\) and \({{\bf{A}}_{\bf{2}}}\) are the areas of the opening and of the top surface, respectively. Assume \({{\bf{A}}_{\bf{1}}}{\bf{ < < }}{{\bf{A}}_{\bf{2}}}\) so that the flow remains nearly steady and laminar.
Figure 10-54
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