Solution Found!
Liquid water with density ?is filled on top of a thin
Chapter 1, Problem 61HP(choose chapter or problem)
Problem 61HP
Liquid water with density ρis filled on top of a thin piston in a cylinder with cross-sectional area A and total height H, as shown in Fig. P1.61. Air is let in under the piston so that it pushes up, causing the water to spill over the edge. Derive the formula for the air pressure as a function of piston elevation from the bottom, h.
FIGURE P1.61
Questions & Answers
QUESTION:
Problem 61HP
Liquid water with density ρis filled on top of a thin piston in a cylinder with cross-sectional area A and total height H, as shown in Fig. P1.61. Air is let in under the piston so that it pushes up, causing the water to spill over the edge. Derive the formula for the air pressure as a function of piston elevation from the bottom, h.
FIGURE P1.61
ANSWER:
Solution 61 HP
Step 1 of 3:
In this question, we need to derive an equation for pressure in air as function of elevation of piston from bottom
Data given
Density of liquid water
Area of cross section
Total height
Height at the bottom