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- Check Your Understanding If the reservoir in Example 14.1 covered twice the area, but was kept to the same depth, would the dam need to be redesigned?Some chimney pipes have a T-shape, with a crosspiece on top that helps draw up gases whenever there is even a slight breeze. Explain how this works in terms of Bernoulli’s principle.A frequency quoted rule of thumb 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, an 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 be sea level density of air as 1.29kg/m3, how fast must it move over be upper surface to create the ideal lift? (b) How fast 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 his not all of be aircraft's lift—some comes from be body of the plane, some from engine thrust, and so on. Furthermore, Bernoulli's principle gives approximate answer because flow over wing creates turbulence.)
- Verigy that the SI of hpg is N/m2.More force is required to pull the plug in a full bathtub than when it is empty. Does this contradict Archimedes' principle? Explain your answer.A sump pump (used to drain water from be basement of houses built below the water table) is draining a flooded basement at rate of 0.750 L/S, with an output pressure of 3.00105N/m2 . (a) The water enters a hose with a 3.00-cm inside diameter and rises 2.50 m above the pump. What is its pressure at this point? (b) The hose goes over the foundation wall, losing 0.500 m in height and widens to 4.00 cm in diameter. What is the pressure now? You may neglect frictional losses both parts of the problem.
- You can squirt water from a garden hose a considerably greater distance by partially covering the opening with your thumb. Explain this works.Verify that work input equals work output for a hydraulic system assuming no losses due to fiction. Do this by showing that distance output force moves is reduced by the same factor output force is increased. Assume the volume of the fluid is constant. What effect would friction within the fluid and between components in the system have output force? How would this depend on whether or not fluid is moving?The left ventricle of a resting adult's heart pumps blood at a flow rate of 83.0 cm3/s , increasing its pressure by 110 mm Hg, its speed from zero to 30.0 cm/s, and its height by 5.00 cm. (All cumbers are averaged over the entire heartbeat) Calculate the total power output of left ventricle. Note that most of the power is used to increase blood pressure.
- Why does a bicycle pump feel warm as you inflate your tire?Scurrilous con artists have been known to represent gold-plated tungsten ingots as pure gold and sell them at prices much below gold value but high above the cost of tungsten. With what accuracy must you be able to measure the mass of such an ingot in and out of water to tell that it is almost pure tungsten rather than pure gold?A fluid of a constant density flows through a reduction in a pipe. Find an equation for be change in pressure, in terms of v1, A2, A2, and the density.