Storm sewer backup causes your basement to flood at the steady rate of 1 in. of depth per hour. The basement floor area is 2600
ft2. What capacity (gal/min) pump would you rent to (a) keep the water accumulated in your basement at a constant level until the storm sewer is blocked off, and (b) reduce the water accumulation in your basement at a rate of 3 in./hr even while the backup problem exists?
1 answer:
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Answer:
b. 2.3 kPa.
Explanation:
This situation can be modelled by Bernoulli's Principle, as there are no energy interaction throughout the multisection pipe and current lines exists between both ends. Likewise, this system have no significant change in gravitational potential energy since it is placed horizontally on the ground and is described by the following model:
Where:
,
- Pressures at the beginning and at the end of the current line, measured in kilopascals.
- Water density, measured in kilograms per cubic meter.
,
- Fluid velocity at the beginning and at the end of the current line, measured in meters per second.
Now, the pressure difference between these two points is:
If ,
and
, then:
(1 kPa is equivalent to 1000 Pa)
Hence, the right answer is B.