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A drain has a rectangular profile. W is the width of the drain in meters, and D is the depth of the water in meters (see Figure 1). In the case that the depth is much less than the width the amount of water that flows per second through a rectangular drain is given by the following formula: Q = 4Dis! (1) In which: Q is the volume of water that flows per second through the drain (in m³/s); A = Wx D, the cross-sectional area of the drain up to the level of the water (in m2); - n is a parameter describing the resistance to the flow of water; - S is the gradient of the river Figure 1: Schematic overview of the (in m/m). drain. Use formula 1 to derive the units of n.

A drain has a rectangular profile. W is the width of the drain in meters, and D is the depth of the water in meters (see Figure 1). In the case that the depth is much less than the width the amount of water that flows per second through a rectangular drain is given by the following formula: Q = 4Dis! (1) In which: Q is the volume of water that flows per second through the drain (in m³/s); A = Wx D, the cross-sectional area of the drain up to the level of the water (in m2); - n is a parameter describing the resistance to the flow of water; - S is the gradient of the river Figure 1: Schematic overview of the (in m/m). drain. Use formula 1 to derive the units of n.

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 15P: Assume it takes 7.00 min to fill a 30.0-gal gasoline tank. (a) Calculate the rate at which the tank...
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A drain has a rectangular profile. W is the width of the drain in meters, and D is the depth of the water in meters (see Figure 1). In the case that the depth is much less than the width the amount of water that flows per second through a rectangular drain is given by the following formula: Q = 4pis} (1) n In which: Q is the volume of water that flows per second through the drain (in m³/s); - A = W×D, the cross-sectional area of the drain up to the level of the water (in m2); - n is a parameter describing the resistance to the flow of water; S is the gradient of the river Figure 1: Schematic overview of the (in m/m). drain. Use formula 1 to derive the units of n.
Transcribed Image Text:A drain has a rectangular profile. W is the width of the drain in meters, and D is the depth of the water in meters (see Figure 1). In the case that the depth is much less than the width the amount of water that flows per second through a rectangular drain is given by the following formula: Q = 4pis} (1) n In which: Q is the volume of water that flows per second through the drain (in m³/s); - A = W×D, the cross-sectional area of the drain up to the level of the water (in m2); - n is a parameter describing the resistance to the flow of water; S is the gradient of the river Figure 1: Schematic overview of the (in m/m). drain. Use formula 1 to derive the units of n.
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