วันพฤหัสบดีที่ 20 มีนาคม พ.ศ. 2557

Pressure under the 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


An enterprising diver reasons that if a typical 20 cm.
long snorkel tube works, a 6.0 m. long tube should
also. If he foolishly uses such a tube, what is the pressure
different Δp between the external pressure
on him and the air pressure in his lungs? Why is he in danger?

Strategy - the rule "Must have" of Mr.Zhang ®
Absolute pressure (P)
The difference between absolute pressure and atmospheric pressure is
called gauge pressure.
P =  (Pg) + (Po)
Absolute pressure - Atmospheric pressure = Gauge pressure
 
    Material or Object        Density (kg/m3)    
Water: 20 οC and 1 atm0.998x103
Sea water: 20 οC and 1 atm1.024x103
 
1 atm = 760 mmHg = 760 torr = 29.9 in.Hg
=101.325 kPa = 14.7 lb/in.2

Solution

The diver at depth L = 6.0 m without the snorkel tube. The external pressure
on him is given by ; P =  Po + ρgh
ΔP=P-PogL ; because L=h
    =(1000 kg/m3)(9.8 m/s2)(6.0m)
    =5.9x104 Pa


∴The pressure difference is about 0.6 atm, is sufficient to collapse
the lungs and force the still pressurized blood into them,a process known
lung squeeze.
"thoracic squeeze, also called Lung Squeeze, compression of the lungs and thoracic (chest)
cavity that occurs during a breath-holding dive under water. During the descent, an increase
in pressure causes air spaces and gas pockets within the body to compress."
credited : Britannica


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