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In: Advanced Math

A large tank containing a mystery liquid is filled to a depth of L = 35...

A large tank containing a mystery liquid is filled to a depth of L = 35 m. The upper surface of the liquid is exposed to the atmosphere (of density 1.2 kg/m3). A pipe of cross-sectional area Ain = 0.01 m2 is inserted in to the liquid. The other ’outlet’ end of the pipe, of smaller cross sectional area Aout = 0.005 m2, is placed outside the liquid at a height of h = 2 m below the surface of the liquid. Fluid begins to flow out of the outlet.

a (7 points) Someone submerges an object of density 900 kg/m3 in the mystery liquid, and it floats suspended (a = 0). What is the density of the mystery liquid?

b (7 points) Find the speed vout of the liquid flowing out of the outlet.

c (6 points) Find the speed vin of the liquid flowing into the pipe.

d(5points) Now a fierce wind with vwind =35 m/s blows parallel to the entire surface of the tank exposed to the air (it does not reach or affect the air around the outlet). This lowers the pressure on the liquid at the top of the tank (but liquid does not spill over the top). With the wind blowing, how much slower is the liquid flowing out of the outlet?

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Colby Messinger answered 1 year ago
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