Rate of flow through a damn gate

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SUMMARY

The discussion focuses on calculating the flow rate of water through a tainter gate measuring 21 feet tall and 14 feet wide, with a water level of 17 feet. The problem requires determining the flow rate when the gate is raised to heights of 2 feet, 7 feet, and 10 feet, as well as the necessary height to achieve a flow rate of 2500 cubic feet per second (cfs). The lake's estimated water impoundment is 3 billion gallons, which is crucial for understanding the overall flow dynamics.

PREREQUISITES
  • Fluid dynamics principles
  • Hydraulic calculations for tainter gates
  • Understanding of flow rate measurements (cfs)
  • Basic geometry of rectangular openings
NEXT STEPS
  • Research the Bernoulli equation for flow rate calculations
  • Learn about the hydraulic performance of tainter gates
  • Study the relationship between gate height and flow rate
  • Explore methods for calculating flow rates in open channels
USEFUL FOR

Engineers, hydrologists, and students studying fluid mechanics or hydraulic engineering will benefit from this discussion, particularly those involved in designing or analyzing water control structures like tainter gates.

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Homework Statement


A tainter gate for a lake is 21' tall and 14' wide and the water level is 17 feet from the surface to spillway. When the work is done how much water will flow through the gate if the gate is raised 2 ft, 7ft, and 10ft and how high does the gate have to be raised to maintain a flow rate of 2500cfs. the estimated impoundment of water for the lake is 3 billion gallons.



Homework Equations


Can anyone help me figure out this problem, due tomorrow and i really could use some help


The Attempt at a Solution

 
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dam* gate lol
 

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