Engineering
The balance tank in our milk processing plant in our building holds about 10 gallons of milk. The inlet pipe is 1.5 inches in diameter abd the outlet is 3/4 inches diameter. If milk flows into the tank at .5 ft/sec how fast must it depart to keep from overflowing?
Use the mass continuity equation...
Area1*velocity1=Area2*velocity2
I will be happy to critique your work.
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Answers
Using the mass continuity equation, we can solve for the outlet velocity by setting the inlet velocity equal to the outlet velocity, since they must maintain the same rate of flow in order to prevent overflows: (1.5 inches)2*(0.5 ft/sec) = (3/4 inches)2*(velocity2) Solving, we find that the outlet velocity must be 1.125 ft/sec to prevent overflowing.
