Problem 60778. Complete hydraulic geometry relations

• Created by ChrisR
• Appears in Cody Problems in Japanese

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Hydraulic geometry relations express the velocity V, width B, and depth H of a river as a function of the discharge (or flow) Q, which is the volume of water that passes a cross section in a unit time. These relations have the form (e.g., Leopold and Mattuck 1953)

where the coefficients have the appropriate dimensions.

Write a function that takes two each of the coefficients and exponents and determines the third such that the relation between flow and velocity (i.e., ) is satisfied. The coefficients and exponents will be given as 1x3 vectors in the order velocity, width, and depth, and the unknown values will be given as NaN.

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70.0% Correct | 30.0% Incorrect

• 10 Solutions
• 7 Solvers

Last Solution submitted on Jan 15, 2025

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