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Solved: Controlling the flow from a draining tank
Chapter 2, Problem 4AAE(choose chapter or problem)
PROBLEM 4AAE
Controlling the flow from a draining tank Torricelli’s law says that if you drain a tank like the one in the figure shown, the rate y at which water runs out is a constant times the square root of the water’s depth x. The constant depends on the size and shape of the exit valve.
Suppose that for a certain tank. You are trying to maintain a fairly constant exit rate by adding water to the tank with a hose from time to time. How deep must you keep the water if you want to maintain the exit rate
a. within
b. within
Questions & Answers
QUESTION:
PROBLEM 4AAE
Controlling the flow from a draining tank Torricelli’s law says that if you drain a tank like the one in the figure shown, the rate y at which water runs out is a constant times the square root of the water’s depth x. The constant depends on the size and shape of the exit valve.
Suppose that for a certain tank. You are trying to maintain a fairly constant exit rate by adding water to the tank with a hose from time to time. How deep must you keep the water if you want to maintain the exit rate
a. within
b. within
ANSWER:
Solution
Step 1 of 2
In this problem, we have to determine the depth if you want to maintain the exit rate.