How much work does the piston in a hydraulic system do...

How much work does the piston in a hydraulic system do during one $2.0-\mathrm{cm}$ stroke if the end area of the piston is $0.75 \mathrm{~cm}^{2}$ and the pressure in the hydraulic fluid is $50 \mathrm{kPa}$ ?

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Key Concepts

Hydraulic Systems

Hydraulic systems use incompressible fluids to transmit pressure and force from one location to another, often allowing for force multiplication. By applying a known pressure to a piston of a given area, these systems can perform work, which is a central principle in their design and application.

Unit Conversion

Unit conversion is the process of converting measurements from one unit to another to ensure consistency in calculations. In physics problems, especially those involving work and pressure, converting units (for example, from centimeters to meters or from kilopascals to pascals) is crucial for obtaining accurate results.

Work

Work is the transfer of energy achieved when a force causes a displacement. It is calculated as the product of force and displacement (W = F × d) and is measured in joules (J) in the SI system. Understanding work is essential in physics to analyze how energy is transferred within a system.

Pressure

Pressure is defined as the force exerted per unit area (P = F/A) and is measured in pascals (Pa) in the SI system, where 1 Pa equals 1 newton per square meter. It is a fundamental concept in fluid mechanics and plays a crucial role in hydraulic systems, where it is used to determine the force applied over the area of a piston.

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