วันศุกร์ที่ 21 มีนาคม พ.ศ. 2557

Pressure between oil and water


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Problem# h2phy1 - Pressure converted inside the Aorta 
Problem# h2phy2 - Pressure inside vein
Problem# h2phy3 - Pressure on the floor
Problem# h2phy4 - Pressure under the sea
Problem# h2phy5 - Pressure between oil and water

The U-tube contains water of density&nbspρw in the right arm
and oil of unknown density ρx in the left.   Measurement gives
L = 135 mm. and d = 12.3 mm. What is the density of the oil ?

Strategy - the rule "Must have" of Mr.Zhang ®
Interface area is joint of the two substances.
P = (Po) + (Pg)
Absolute pressure = Atmospheric pressure + Gauge pressure
 
    Material or Object        Density (kg/m3)    
Water: 20 οC and 1 atm0.998x103
 
1 atm = 760 mmHg = 760 torr = 29.9 in.Hg
=101.325 kPa = 14.7 lb/in.2

Solution

Pint = Po +&nbspρwgl          (right side)  →(1)
Pint = Po +&nbspρoilg(d+l)    (left side)  →(2)
(1)=(2);   Po +&nbspρwgl = Po +&nbspρoilg(d+l)
    ρwgl = ρoilg(d+l)
    ρwl = ρoil(d+l)
    (ρw)/(d+l) = ρoil


∴The density of the oil is 916.5 kg/m3


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