Chapter 14: Q.9 (page 384)
A 50-cm-thick layer of oil floats on a 120-cm-thick layer of water. What is the pressure at the bottom of the water layer?
Total pressure is 117 Kpa
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Geologists place tiltmeters on the sides of volcanoes to measure the displacement of the surface as magma moves inside the volcano. Although most tiltmeters today are electronic, the traditional tiltmeter, used for decades, consisted of two or more water-filled metal cans placed some distance apart and connected by a hose. FIGURE shows two such cans, each having a window to measure the water height. Suppose the cans are placed so that the water level in both is initially at the mark. A week later, the water level in can is at the mark.
A. Did can move up or down relative to can ? By what distance?
B. Where is the water level now in can ?
What is the minimum hose diameter of an ideal vacuum cleaner that could lift a () dog off the floor?
In addition to the buoyant force, an object moving in a liquid experiences a linear drag force , direction opposite the motion), where is a constant. For a sphere of radius , the drag constant can be shown to be , where is the viscosity of the liquid. Consider a sphere of radiusand density that is released from rest at the surface of a liquid with density .
a. Find an expression in terms of , and the densities for the sphere's terminal speed as it falls through the liquid.
b. Solve Newton's second law to find an expression for , the sphere's vertical velocity as a function of time as it falls. Pay careful attention to signs!
c. Water at has viscosity Pas. Aluminum has density . If a -mm-diameter aluminum pellet is dropped into water, what is its terminal speed, and how long does it take to reach of its terminal speed?
Rank in order, from largest to smallest, the pressures at a, b, and c in FIGURE Q14.2. Explain.
A friend asks you how much pressure is in your car tires. You know that the tire manufacturer recommends , but it's been a while since you've checked. You can't find a tire gauge in the car, but you do find the owner's manual and a ruler. Fortunately, you've just finished taking physics, so you tell your friend, "I don't know, but I can figure it out." From the owner's manual you find that the car's mass is. It seems reasonable to assume that each tire supports one-fourth of the weight. With the ruler you find that the tires are wide and the flattened segment of the tire in contact with the road is long. What answer-in psi-will you give your friend?
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