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Water flows down a triangular trough at 5 m/s. The average vertical depth of water in the trough is 0.3m. Use this information to solve problems 16 and 17. The trough discharge when flowing full is nearest (a) 0.112 m/s (b) 0.26 m³/s (c) 0.52 m3/s (d) 0.023 m³/s (e) 0.45 m3 ass flow rate of water flowing 30 30 0.3 m 30 in the trough is nearest (a) 260 kg/s E DO NOTCO 03 m 30 (b) 112 kg/s (c) 54.4 kg/s? (d) 23 kg/s (e) 16.2 kg/s? Trough geometry

Water flows down a triangular trough at 5 m/s. The average vertical depth of water in the trough is 0.3m. Use this information to solve problems 16 and 17. The trough discharge when flowing full is nearest (a) 0.112 m/s (b) 0.26 m³/s (c) 0.52 m3/s (d) 0.023 m³/s (e) 0.45 m3 ass flow rate of water flowing 30 30 0.3 m 30 in the trough is nearest (a) 260 kg/s E DO NOTCO 03 m 30 (b) 112 kg/s (c) 54.4 kg/s? (d) 23 kg/s (e) 16.2 kg/s? Trough geometry

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Water Flow in a Triangular Trough** A stream of water flows down a triangular trough at a speed of 5 meters per second (m/s). The average vertical depth of water in the trough is 0.3 meters (m). Utilize this information to solve the following problems: **Problem 16**: Consider the trough discharge when it is flowing full. **Which of the following is the closest value for the trough discharge?** (a) 0.112 cubic meters per second (m³/s) (b) 0.26 cubic meters per second (m³/s) (c) 0.52 cubic meters per second (m³/s) (d) 0.023 cubic meters per second (m³/s) (e) 0.45 cubic meters per second (m³/s) **Problem 17**: Consider the mass flow rate of water flowing in the trough. **Which of the following is the closest value for the mass flow rate of water?** (a) 260 kilograms per second (kg/s) (b) 112 kilograms per second (kg/s) (c) 54.4 kilograms per second (kg/s²) (d) 23 kilograms per second (kg/s) (e) 16.2 kilograms per second (kg/s²) **Detailed Explanations**: **Diagrams:** 1. **Water Flow Illustration**: - The first diagram shows a three-dimensional representation of a triangular trough with water flowing through it. The angles of the trough walls are given as 60 degrees and 30 degrees. The vertical depth (height) of water in the trough is marked as 0.3 meters. 2. **Trough Geometry**: - The second diagram illustrates the geometric structure of the trough. Here, a cross-sectional view is presented with two 30-degree angles meeting at the bottom, and the vertical depth (height) of the water given as 0.3 meters. It displays the relationship between the width (w) of the trough at the top and the depth of the water. By examining the geometry of the trough, the flow rate of water, and using trigonometric calculations, these problems can be accurately solved.
Transcribed Image Text:**Water Flow in a Triangular Trough** A stream of water flows down a triangular trough at a speed of 5 meters per second (m/s). The average vertical depth of water in the trough is 0.3 meters (m). Utilize this information to solve the following problems: **Problem 16**: Consider the trough discharge when it is flowing full. **Which of the following is the closest value for the trough discharge?** (a) 0.112 cubic meters per second (m³/s) (b) 0.26 cubic meters per second (m³/s) (c) 0.52 cubic meters per second (m³/s) (d) 0.023 cubic meters per second (m³/s) (e) 0.45 cubic meters per second (m³/s) **Problem 17**: Consider the mass flow rate of water flowing in the trough. **Which of the following is the closest value for the mass flow rate of water?** (a) 260 kilograms per second (kg/s) (b) 112 kilograms per second (kg/s) (c) 54.4 kilograms per second (kg/s²) (d) 23 kilograms per second (kg/s) (e) 16.2 kilograms per second (kg/s²) **Detailed Explanations**: **Diagrams:** 1. **Water Flow Illustration**: - The first diagram shows a three-dimensional representation of a triangular trough with water flowing through it. The angles of the trough walls are given as 60 degrees and 30 degrees. The vertical depth (height) of water in the trough is marked as 0.3 meters. 2. **Trough Geometry**: - The second diagram illustrates the geometric structure of the trough. Here, a cross-sectional view is presented with two 30-degree angles meeting at the bottom, and the vertical depth (height) of the water given as 0.3 meters. It displays the relationship between the width (w) of the trough at the top and the depth of the water. By examining the geometry of the trough, the flow rate of water, and using trigonometric calculations, these problems can be accurately solved.
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