A piston/cylinder of diameter 10 in. moves a piston with a...

A piston/cylinder of diameter 10 in. moves a piston with a velocity of $18 \mathrm{ft} / \mathrm{s}$. The instantaneous pressure if 100 psia. What is the volume displacement rate, the force and the transmitted power?

Key Concepts

Hydraulic Power Transmission

In hydraulic systems, power transmission is generally evaluated by either multiplying the force by the velocity or by using the product of pressure and volumetric flow rate. This concept highlights how energy is transferred within the system and is key when assessing the efficiency and capability of hydraulic machinery.

Pressure-Force Relationship

This principle underlies the calculation of force produced in a hydraulic system, where force is the product of pressure and the area over which it acts. Understanding this relationship is crucial for designing systems that effectively transmit force and for ensuring that components can withstand operational loads.

Volumetric Flow Rate

This is the rate at which fluid is displaced or moved through a system, typically calculated by multiplying the cross-sectional area of the piston by its velocity. It is a fundamental concept in fluid mechanics and hydraulics, as it quantifies the volume of fluid transferred per unit time, influencing system performance.

Hydraulic Cylinder Area Calculation

This concept involves determining the area of a circular piston or cylinder using geometric principles, typically with the formula A = ?(d/2)². It is critical in fluid power systems because pressure applied over this area generates a force, making accurate area calculation essential for system design and analysis.

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