Pickup Truck Vent
5
Aug/090
Aug/090
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Physics fluids problem about an oil tank?
There's a cylinder-shaped oil storage tank with a 10.0 m diameter and is 8.00 m high. There is a 1.00 m high earthen dike running around the tank at 2.00 m from it's base. A man has a joint of pipe with a diameter of 10.0 cm in the bed of his pickup truck that sticks way out. He accidentally backs into the tank. He then pulls forward, leaving a hole in the tank from the pipe. The hole is 1.50 m from the bottom of the tank. (a) Does the oil shoot out over the dike? If so, how much oil will be lost this way? (b) How much will end up inside the dike? (c) How much oil, if any, will spill out when, and if, the dike area fills? Assume the tank is completely filled with oil and vented (no vacuum).
the trick is to relate the possible max V of the flowing oil to the pressure head ( 8 m - 1.5 m)
I would try potential energy per unit volume mgh vs KE
the rest is volume geometry
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