Pressure Problem 1 Solution - A hydraulic press consists of a U-pipe filled with oil where the two vertical cylindrical columns have different diameters

# Pressure Problem 1 Solution - A hydraulic press consists of...

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A hydraulic press consists of a U-pipe filled with oil, where the two vertical cylindrical columns have different diameters, as shown. Two students, each with mass , stand on an approximately massless piston at the top of the left column, with diameter . An elephant, with mass , stands on an approximately massless piston at the top of the right column, with diameter . What is the height of the elephant above the students? 𝒉 𝒅 𝑫 𝑴 𝒎 𝒎
Pressure - Problem 4 Solution Let’s look at the forces acting on each of the pistons. The net force for each should be zero, since the pistons aren’t accelerating. If we first consider the piston on the left, there’s the gravitational force due to each of the students, the pressure of the atmosphere, and the pressure of the oil. The pressures can be related to forces by multiplying by the cross-sectional area of the piston. Since both of the columns are cylinders, the pistons are