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A weir is a dam that is built across a river to regulate the flow of water. The flow
rate Q (in cubic feet per second) can be calculated using the formula Q = 3.3674h3/2,
where l is the length (in feet) of the bottom of the spillway and h is the depth (in feet)
of the water on the spillway. Determine the flow rate of a weir with a spillway that is
20 feet long and has a water depth of 5 feet. Round your answer to the nearest whole
number

Respuesta :

Answer:

752.884 cubic feet

Step-by-step explanation:

Brainliest?

Applying the formula, it is found that the flow rate is of 753 cubic feet per second.

The flow rate is modeled by:

[tex]Q = 3.367lh^{\frac{3}{2}}[/tex]

[tex]Q = 3.367l\sqrt{h^3}[/tex]

In which the parameters are:

  • l is the length.
  • h is the depth.

In this problem:

  • 20 feet long, hence [tex]l = 20[/tex]
  • Depth of 5 feet, hence [tex]h = 5[/tex]

Then:

[tex]Q = 3.367l\sqrt{h^3}[/tex]

[tex]Q = 3.367(20)\sqrt{5^3}[/tex]

[tex]Q = 753[/etx]

The rate is of 753 cubic feet per second.

A similar problem is given at https://brainly.com/question/24729807

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