1.A long horizontal tube has a square cross section with sides of width L . A fl

Question

1.A long horizontal tube has a square cross section with sides of width L. A fluid moves through the tube with speed v0. The tube then changes to a circular cross section with diameter L.What is the fluid's speed in the circular part of the tube?         

2.An aquarium of length L, width (front to back) W, and depth D is filled to the top with liquid of density ?.

a.Evaluate the forces on the front window for a 95-cm-long, 35-cm-wide, 50-cm-deep aquarium filled with water.

b.Evaluate the forces on the bottom for a 95-cm-long, 35-cm-wide, 50-cm-deep aquarium filled with water.

Explanation / Answer

In this case, the shape of the tube is changing the AREA of the tube. Since the volume going in in time t must equal the volume coming out at time t we have

Area 1 x velocity 1 = Area 2 x velocity 2

LxL x v0 = Pi (L/2)^2 v2

solve for v2 = 4v0/Pi ~ 1.333v0

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