To determine how much weight can be lifted by a pressure of 100 psi (pounds per square inch) acting on a cross-sectional area of 4.19 in², we use the following formula:

$\text{Force (in pounds)} = \text{Pressure (psi)} \times \text{Area (in²)}$

Given:

• Pressure $P = 100 \, \text{psi}$
• Area $A = 4.19 \, \text{in}^2$

Substituting into the formula:

$\text{Force} = 100 \times 4.19 = 419 \, \text{pounds}$

So, the weight that can be lifted is 419 pounds.

The density of water (8.33 lb/gal) is not needed for this calculation as it relates to fluid pressure rather than the mechanical force applied to the plate.

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Would you like more details on this, or do you have any other questions?

Here are 5 related questions:

1. How would the force change if the pressure increased to 150 psi?
2. What happens to the force if the area increases to 10 in²?
3. How can you convert psi into other pressure units like Pascal or bar?
4. How does the density of a fluid affect the pressure in hydraulic systems?
5. What is the relationship between force, area, and pressure in hydraulic lifts?

Tip: Always check the units in formulas to ensure they match up correctly when solving for physical quantities.