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20 Adhesion and Cohesion In terms of adhesion and cohesion, explain why alcohol clings to the surface of a glass rod but mercury does not 21 Floating How can you tell that the paper clip in problem 18 was not floating 22 Critical Thinking On a hot, humid day, Beth sat on the patio with a glass of cold water The outside of the glass was coated with water Her younger sister, Jo, suggested that the water had leaked through the glass from the inside to the outside Suggest an experiment that Beth could do to show Jo where the water came from
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Section 132 Forces Within Liquids
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133 Fluids at Rest and in Motion
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Relate Pascal s principle to simple machines and occurrences Apply Archimedes principle to buoyancy Apply Bernoulli s principle to airflow
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ou have learned how fluids exert pressure, the force per unit area You also know that the pressure exerted by fluids changes; for example, atmospheric pressure drops as you climb a mountain In this section, you will learn about the forces exerted by resting and moving fluids
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If you have ever dived deep into a swimming pool or lake, you know that your body, especially your ears, is sensitive to changes in pressure You may have noticed that the pressure you felt on your ears did not depend on whether your head was upright or tilted, but that if you swam deeper, the pressure increased Pascal s principle Blaise Pascal, a French physician, noted that the pressure in a fluid depends upon the depth of the fluid and has nothing to do with the shape of the fluid s container He also discovered that any change in pressure applied at any point on a confined fluid is transmitted undiminished throughout the fluid, a fact that is now known as Pascal s principle Every time you squeeze a tube of toothpaste, you demonstrate Pascal s principle The pressure that your fingers exert at the bottom of the tube is transmitted through the toothpaste and forces the paste out at the top Likewise, if you squeeze one end of a helium balloon, the other end of the balloon expands When fluids are used in machines to multiply forces, Pascal s principle is being applied In a common hydraulic system, a fluid is confined to two connecting chambers, as shown in Figure 13-11 Each chamber has a piston that is free to move, and the pistons have different surface areas If a force, F1, is exerted on the first piston with a surface area of A1, the pressure, P1, exerted on the fluid can be determined by using the following equation P1
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F1 A1
Vocabulary
Pascal s principle buoyant force Archimedes principle Bernoulli s principle streamlines
Figure 13-1 The pressure 1 exerted by the force of the small piston is transmitted throughout the fluid and results in a multiplied force on the larger piston
F2 F1
This equation is simply the definition of pressure: pressure equals the force per unit area The pressure exerted by the fluid on the second piston, with a surface area A2, can also be determined P2
F2 A2
According to Pascal s principle, pressure is transmitted without change throughout a fluid, so pressure P2 is equal in value to P1 You can determine the force exerted by the second piston by using F1/A1 F2/A2 and solving for F2 This force is shown by the following equation Force Exerted by a Hydraulic Lift F2
F1A2 A1
Piston 1
Piston 2
The force exerted by the second piston is equal to the force exerted by the first piston multiplied by the ratio of the area of the second piston to the area of the first piston
13 States of Matter
23 Dentists chairs are examples of hydraulic-lift systems If a chair weighs 1600 N and rests on a piston with a cross-sectional area of 1440 cm2, what force must be applied to the smaller piston, with a cross-sectional area of 72 cm2, to lift the chair 24 A mechanic exerts a force of 55 N on a 0015 m2 hydraulic piston to lift a small automobile The piston that the automobile sits on has an area of 24 m2 What is the weight of the automobile 25 By multiplying a force, a hydraulic system serves the same purpose as a lever or seesaw If a 400-N child standing on one piston is balanced by a 1100-N adult standing on another piston, what is the ratio of the areas of their pistons 26 In a machine shop, a hydraulic lift is used to raise heavy equipment for repairs The system has a small piston with a cross-sectional area of 70 10 2 m2 and a large piston with a cross-sectional area of 21 10 1 m2 An engine weighing 27 103 N rests on the large piston a What force must be applied to the small piston to lift the engine b If the engine rises 020 m, how far does the smaller piston move
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