The image illustrates a basic diagram of a hydraulic lift mechanism. It consists of two connected cylinders of different diameters filled with an incompressible fluid, usually oil or water. Key Features: 1. **Cylinder Structure**: There are two vertical cylinders—the left one is narrower, and the right one is wider. 2. **Pistons**: Each cylinder contains a piston. The smaller piston (on the left) is pushed down, indicated by a downward arrow, exerting pressure on the fluid beneath it. 3. **Fluid Dynamics**: The incompressible fluid transmits pressure to the larger piston (on the right) through a connection at the base of the cylinders. 4. **Force Transmission**: The increased surface area of the larger piston creates a larger upward force, lifting it as shown by the upward arrow. This is an application of Pascal's law, which states that pressure applied to a confined fluid is transmitted undiminished in every direction throughout the fluid. 5. **Applications**: This principle is commonly used in hydraulic jacks and lifts to move heavy loads with relatively little force. The diagram effectively demonstrates the fundamental operation of a hydraulic lift system, emphasizing the principles of pressure transmission and force multiplication.

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In the hydraulic pistons shown in the sketch, the small piston has a diameter of 2.6 cmcm . The large piston has a diameter of 5.6 cmcm. How much more force can the larger piston exert compared with the force applied to the smaller piston?

The image illustrates a basic diagram of a hydraulic lift mechanism. It consists of two connected cylinders of different diameters filled with an incompressible fluid, usually oil or water. 

Key Features:

1. **Cylinder Structure**: There are two vertical cylinders—the left one is narrower, and the right one is wider.

2. **Pistons**: Each cylinder contains a piston. The smaller piston (on the left) is pushed down, indicated by a downward arrow, exerting pressure on the fluid beneath it.

3. **Fluid Dynamics**: The incompressible fluid transmits pressure to the larger piston (on the right) through a connection at the base of the cylinders.

4. **Force Transmission**: The increased surface area of the larger piston creates a larger upward force, lifting it as shown by the upward arrow. This is an application of Pascal's law, which states that pressure applied to a confined fluid is transmitted undiminished in every direction throughout the fluid.

5. **Applications**: This principle is commonly used in hydraulic jacks and lifts to move heavy loads with relatively little force.

The diagram effectively demonstrates the fundamental operation of a hydraulic lift system, emphasizing the principles of pressure transmission and force multiplication.
Transcribed Image Text:The image illustrates a basic diagram of a hydraulic lift mechanism. It consists of two connected cylinders of different diameters filled with an incompressible fluid, usually oil or water. Key Features: 1. **Cylinder Structure**: There are two vertical cylinders—the left one is narrower, and the right one is wider. 2. **Pistons**: Each cylinder contains a piston. The smaller piston (on the left) is pushed down, indicated by a downward arrow, exerting pressure on the fluid beneath it. 3. **Fluid Dynamics**: The incompressible fluid transmits pressure to the larger piston (on the right) through a connection at the base of the cylinders. 4. **Force Transmission**: The increased surface area of the larger piston creates a larger upward force, lifting it as shown by the upward arrow. This is an application of Pascal's law, which states that pressure applied to a confined fluid is transmitted undiminished in every direction throughout the fluid. 5. **Applications**: This principle is commonly used in hydraulic jacks and lifts to move heavy loads with relatively little force. The diagram effectively demonstrates the fundamental operation of a hydraulic lift system, emphasizing the principles of pressure transmission and force multiplication.
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