Pascal's Principle Calculations

AI Thread Summary
In the discussion on Pascal's Principle calculations, a hydraulic press scenario is analyzed involving a small piston with area "a" and a larger piston with area "A." The relationship between the forces exerted on the pistons is expressed through the formula f/a = F/A, leading to the conclusion that F equals f multiplied by the area ratio. For the specific case of balancing a 20.0 kN force on the larger piston, the calculated force on the small piston is confirmed to be 102. The participants clarify that the variable f should not be left in the final answer and emphasize the need to express it in terms of the given values.
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A piston of cross-sectional area "a" is used in a hydraulic press to exert a small force of magnitude "f" on the enclosed liquid. A connecting pipe leads to a larger piston of cross-sectional area A. (a) what force magnitude F will the larger piston sustain without moving? (b) If the piston diameters are 3.80 cm and 53.0 cm, what force magnitude on the small piston will balance a 20.0 kN force on the large piston?

A picture of the figure can be found at
http://panda.unm.edu/Courses/Price/Phys160/F33-3.jpeg

I used the formula f/a = F/A for (a). the answer I found was F = f x 195. Am i supposed to leave f in my answer. If no, how do i solve for f.

I used the same formula for (b) and got 102.

Please help me double check my answers.
 
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Seems to be correct. In the first Q, you just have to write fA/a, I think, because the values are given only in (b).
 
Thanks for the help.
 
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