Pascal's Principle

The pressure forces acting on the bottle are shown in Figure 6A. Note that at any given depth, equal pressures act against the inside of the bottle. Note also that the pressure increases with depth. Now imagine what happens to the pressure inside the bottle if you tightly squeeze it at the middle. Will the pressure be greater at the point where you squeeze?

The pressure inside the squeezed bottle is shown in Figure 6B. Note that the pressure increases with depth, as it did before the bottle was squeezed. More important, note that the pressure increases equally throughout the water, not just at the point where you squeeze. Pascal discovered this phenomenon in the 1600s. His observation led to a general principle. According to Pascal's principle, a change in pressure at any point in a fluid is transmitted equally and unchanged in all directions throughout the fluid.

Figure 6 A change in pressure at any point in a fluid is transmitted equally and unchanged in all directions throughout the fluid. A Note that the forces exerted against the walls of the container are equal at a given depth. B When squeezed, the pressure is transmitted equally throughout the fluid.

Image of two large bottles, each shown with arrows to indicate the pressure being exerted. 
Bottle A has equal pressure at any given depth inside the bottle.  
 Bottle B is squeezed by a hand, and the pressure is equally transmitted throughout the fluid.
Hydraulic Systems

Hydraulics is the science of applying Pascal's principle. The dump truck in Figure 7A makes use of a hydraulic lift system. A hydraulic system is a device that uses pressurized fluid acting on pistons of different sizes to change a force.

Look at the diagram of a hydraulic system shown in Figure 7B. An input force is applied to the small piston, which pushes against the fluid sealed in the hydraulic system. Applying Pascal's principle, you know that the pressure produced by the small piston is transmitted through the fluid to the large piston. Thus, the pressure on both pistons is the same.

However, the pressure pushing against the large piston acts on a much larger area, which is the key to how the system works. In a hydraulic lift system, an increased output force is produced because a constant fluid pressure is exerted on the larger area of the output piston. This large output force is used to lift and dump the load. The amount the input force is increased depends on the areas of the pistons. If the large piston has eight times the area of the small piston, then the output force is eight times greater than the input force. Why is this? Recall that force is equal to the product of pressure and area. Because the pressure on each piston is the same, the difference in forces is directly related to the difference in areas.

Figure 7 A The truck uses hydraulic-powered struts to lift its load and dump it on the ground. B The larger area of the output piston produces the increased force used to lift the load.

A dump truck using its hydraulic lift system to lift its load.  Part B is a drawing of the inside of a hydraulic system showing how it works.d

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Table of Contents

Physical Science CHAPTER 1 Science Skills CHAPTER 2 Properties of Matter CHAPTER 3 States of Matter CHAPTER 4 Atomic Structure CHAPTER 5 The Periodic Table CHAPTER 6 Chemical Bonds CHAPTER 7 Chemical Reactions CHAPTER 8 Solutions, Acids, and Bases CHAPTER 9 Carbon Chemistry CHAPTER 10 Nuclear Chemistry CHAPTER 11 Motion CHAPTER 12 Forces and Motion CHAPTER 13 Forces in Fluids CHAPTER 14 Work, Power, and Machines CHAPTER 15 Energy CHAPTER 16 Thermal Energy and Heat CHAPTER 17 Mechanical Waves and Sound CHAPTER 18 The Electromagnetic Spectrum and Light CHAPTER 19 Optics CHAPTER 20 Electricity CHAPTER 21 Magnetism CHAPTER 22 Earth's Interior CHAPTER 23 Earth's Surface CHAPTER 24 Weather and Climate CHAPTER 25 The Solar System CHAPTER 26 Exploring the Universe Skills and Reference Handbook