- #1
Daan van Driel
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Homework Statement
An pillow is inflated with an pressure of let's say 20 hPa. Afterwards we place a weight of 10 Kg on the pillow, what is the pressure increase within the pillow?
P athmosthere = 1013 hPa
P cushion = 1013 + 20 = 1033 hPa
m = 10 Kg
g = 9.81 m/s^2
Amount of air in the pillow stays the same
Homework Equations
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Boyle's law: P1 * V1 = P2 * V2
Gravitational force: F = m * g
Pressure: P = F / A
The Attempt at a Solution
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The added weight creates a force F. This creates an apposing force within the pillow (Newton's third law) which is devided over the enitre inner surface of the pillow. Therefore P = F / A = m * g / A.
Lets assume that the surface area of the pillow is equal to 300 cm^2. P = (10 * 9.81) / 0.03 = 3270
Would this be right? If so, how do I translate this 3270 back to the pressure difference between P2 ane P3?