CK12 Calculus - Single Variable

(Marvins-Underground-K-12) #1

where is the densityof the fluid and is the accelerationdue to gravity(whichis on
Earth).The pressurethen can be writtenas


Example4:


Whatis the total pressureexperiencedby a diverin a swimmingpool at a depthof meters?
Solution


First we calculatethe fluid pressurethe waterexertson the diverat a depthof meters:


The densityof wateris kg/m^3 , thus


The total pressureon the diveris the pressuredue to the waterplus the atmosphericpressure.If we assume
that the diveris locatedat sea-level,then the atmosphericpressureat sea level is about Pa. Thusthe
total pressureon the diveris


Example5:
Whatis the fluid pressure(excludingthe air pressure)and forceon the top of a flat circularplateof radius
metersthat is submergedhorizontallyat a depthof meters?
Solution:


The densityof wateris kg/m^3. Then


Sincethe forceis then

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