A rain gutter is to be made of aluminum sheets that are 16 inches wide by turning up the edges 90°. See the illustration. (a) What depth will provide maximum cross-sectional area and hence allow the most water to flow? (b) What depths will allow at least 30 square inches of water to flow? wwww 16-2x (a) The depth that will provide the maximum cross-sectional area is inches. (b) The depths betweenin. and in. will allow at least 30 square inches of water to flow. 16

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
icon
Related questions
Topic Video
Question
The image is about designing a rain gutter from aluminum sheets that are 16 inches wide by turning up the edges at a 90° angle. 

There is a diagram illustrating the gutter's cross-section. The diagram shows a rectangular shape with a base labeled "16 - 2x," where "x" represents the height of the upturned edges. The sides of the rectangle are labeled with "x."

Below the diagram, there are two questions:

(a) What depth will provide maximum cross-sectional area and hence allow the most water to flow? 

(b) What depths will allow at least 30 square inches of water to flow?

Finally, there is a blank space for answers:

(a) The depth that will provide the maximum cross-sectional area is ___ inches.

(b) The depths between ___ in. and ___ in. will allow at least 30 square inches of water to flow.
Transcribed Image Text:The image is about designing a rain gutter from aluminum sheets that are 16 inches wide by turning up the edges at a 90° angle. There is a diagram illustrating the gutter's cross-section. The diagram shows a rectangular shape with a base labeled "16 - 2x," where "x" represents the height of the upturned edges. The sides of the rectangle are labeled with "x." Below the diagram, there are two questions: (a) What depth will provide maximum cross-sectional area and hence allow the most water to flow? (b) What depths will allow at least 30 square inches of water to flow? Finally, there is a blank space for answers: (a) The depth that will provide the maximum cross-sectional area is ___ inches. (b) The depths between ___ in. and ___ in. will allow at least 30 square inches of water to flow.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Fluid Statics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY