fluid statics?
April 29th, 2010
jh asked:
A 1.70 -diameter vat of liquid is 2.90 deep. The pressure at the bottom of the vat is 1.30 . What is the mass of the liquid in the vat?
A 1.70 -diameter vat of liquid is 2.90 deep. The pressure at the bottom of the vat is 1.30 . What is the mass of the liquid in the vat?
Styrofoam has a density of . What is the maximum mass that can hang without sinking from a 80.0 -diameter Styrofoam sphere in water? Assume the volume of the mass is negligible compared to that of the sphere.
A gymnasium is 11.0 high. By what percent is the air pressure at the floor greater than the air pressure at the ceiling?
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Posted in Education | Tags: Air Pressure, Density, Diameter, Fluid Statics, Gymnasium, Maximum Mass, Sphere, Styrofoam, Vat
Gauge pressure = 1.30 – 1 = 0.3 atm
Volume of cylinder = ?*r²*h = ?*(0.85)²*2.7 = 6.13 m^3
Pressure = pgh = 101300*0.3 = 30390
30390 = p (9.8)(2.9)
p= 1069
Density (p) = mass/volume
pV = mass
1069 * 6.13 = mass
Mass = 6555kg
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Density of Styrofoam? I’ll say 300.
80cm diameter?
Volume of sphere = (4/3)?r^3 = (4/3)?(0.40)^3 = 0.2681
Mass of Styrofoam = 300kg/m^3 * 0.2681m^3 = 80.42kg
Mass of water displaced = 1000kg/m^3 * 0.2681 m^3 = 268.1kg
Maximum mass = mass of water displaced – mass of Styrofoam
= 268.1 – 80.42 = 188kg
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Use p = po e^(-h/8000), where
po = density at sea level
h = height (m)
Plug and chug for h at 11m, then find the percent.
[Answers: see above]