Physics question-- Water flowing through a section of pipe?
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Physics question-- Water flowing through a section of pipe?

[From: ] [author: ] [Date: 14-04-10] [Hit: ]
- Lets say the larger pipe is 1m. diameter. That makes the smaller 0.86m. diameter.(32 x 1^2)/(0.......
Water flowing through a pipe suddenly comes to a section of pipe where the pipe
diameter decreases to 86% of its previous value. If the speed of the water in the
larger section of the pipe was 32 m/s, what is its speed in this smaller section?

Could some SHOW me how to find the answer??

-
Let's say the larger pipe is 1m. diameter. That makes the smaller 0.86m. diameter.
(32 x 1^2)/(0.86^2) = 43.2666m/sec. approx.

Pipe area = (pi r^2).
Because pi is common to both area measurements, you can forget it, as it cancels itself. You just use the squares of either dia. or radius, either works.

-
The same amount amount must flow in each section so the speed times the cross-section remains constant. Thus, the speed becomes 32*/(0.86^2)=48.7 m/s
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