At one point in a pipeline the water’s speed is 3.00 m/s and thegauge pressure…
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Question “At one point in a pipeline the water’s speed is 3.00 m/s and thegauge pressure…”
At one point in a pipeline the water’s speed is 3.00 m/s and the
gauge pressure is 5.00∙104 Pa. Find the gauge pressure
at a second point in the line, 11.0 m lower than the first, if the
pipe diameter at the second point is twice that at the first.
Note: density of water is 1000 kg/m3.
Answer
Solution:
Given data
The speed at which the water flows at point one,
The Gauge pressure at point 1,
The Gauge pressure must be found at a second point 11.0 m
(h1-h2) below that of the first point. This point is where the tube’s diameter is twice that of the first.
We have derived this information.
We first calculate the velocity at the second point by using the equation for continuity
Where
Bernoulli’s equation can now calculate the gauge pressure at this second point.
Substitute known values
Conclusion
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