Glycerin is poured into an open U-shaped tube until the height in both sides is 20 cm. Ethyl alcohol is then poured into one arm until the height of the alcohol column is 20 cm. The two liquids do not mix. What is the difference in height between the top surface of the glycerin and the top surface of the alcohol?
19. Fluid Mechanics
Intro to Pressure
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An aquarium of length L, width (front to back) W, and depth D is filled to the top with liquid of density ρ. Find an expression for the force of the liquid on the front window of the aquarium.
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The deepest point in the ocean is 11 km below sea level, deeper than Mt. Everest is tall. What is the pressure in atmospheres at this depth?
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A 1.0-m-diameter vat of liquid is 2.0 m deep. The pressure at the bottom of the vat is 1.3 atm. What is the mass of the liquid in the vat?
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The container shown in FIGURE EX14.11 is filled with oil. It is open to the atmosphere on the left. What is the pressure at point 1?
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The container shown in FIGURE EX14.11 is filled with oil. It is open to the atmosphere on the left. What is the pressure difference between points 1 and 2? Between points 1 and 3?
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(II) What is the lift (in newtons) due to Bernoulli’s principle on a wing of area 82 m² if the air passes over the top and bottom surfaces at speeds of 280 m/s and 150 m/s, respectively?
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During each heartbeat, approximately 70 cm³ of blood is pushed from the heart at an average pressure of 105 mm-Hg. Calculate the power output of the heart, in watts, assuming 70 beats per minute.
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A steel cable is to support an elevator whose total (loaded) mass is not to exceed 3100 kg. If the maximum acceleration of the elevator is 1.8 m/s² , calculate the diameter of cable required. Assume a safety factor of 8.0.
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An iron bolt is used to connect two iron plates together. The bolt must withstand shear forces up to about 3600 N. Calculate the minimum diameter for the bolt, based on a safety factor of 7.0.
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(II) At depths of 2000 m in the sea, the pressure is about 200 times atmospheric pressure (1 atm = 1.0 x 105 N/m2). By what percentage does the interior space of an iron bathysphere’s volume change at this depth?
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What is the maximum tension possible in a 1.00-mm-diameter nylon tennis racket string?
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What is the maximum tension possible in a 1.00-mm-diameter nylon tennis racket string? If you want tighter strings, what do you do to prevent breakage: use thinner or thicker strings? Why? What causes strings to break when they are hit by the ball?
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(I) What is the difference in blood pressure (mm-Hg) between the top of the head and bottom of the feet of a 1.75-m-tall person standing vertically?
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(II) While exploring a sunken ocean liner, a small robot submarine measured the absolute pressure at the level of the ship to be 413 atmospheres. Calculate the magnitude of the force due to the water on a viewing port of the submarine at this depth if the viewing port has a surface area of 0.0100 m².
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