Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
2. We need to calculate the buoyance force on a partially immersed sphere. (a) Derive an expression for the buoyance force acting on a sphere as a function of the depth of immersion. (b) Plot this relation in non-dimensional form where the abscissa is the non- dimensional value of immersion depth (ratio of depth of immersion to the sphere diameter) and the ordinate is the non-dimensional buoyancy force (ratio of actual buoyancy force to the maximum buoyancy force). (c) In the plot in (b) above, what are the maximum and minimum values of the slopes? (d) In the plot in (b) above, identify the abscissa values that correspond to the minimum and maximum values of the slopes in the plot.

2. We need to calculate the buoyance force on a partially immersed sphere. (a) Derive an expression for the buoyance force acting on a sphere as a function of the depth of immersion. (b) Plot this relation in non-dimensional form where the abscissa is the non- dimensional value of immersion depth (ratio of depth of immersion to the sphere diameter) and the ordinate is the non-dimensional buoyancy force (ratio of actual buoyancy force to the maximum buoyancy force). (c) In the plot in (b) above, what are the maximum and minimum values of the slopes? (d) In the plot in (b) above, identify the abscissa values that correspond to the minimum and maximum values of the slopes in the plot.

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
See similar textbooks
icon
Related questions
Question

(c)

2. We need to calculate the buoyance force on a partially immersed sphere. (a) Derive an expression for the buoyance force acting on a sphere as a function of the depth of immersion. (b) Plot this relation in non-dimensional form where the abscissa is the non- dimensional value of immersion depth (ratio of depth of immersion to the sphere diameter) and the ordinate is the non-dimensional buoyancy force (ratio of actual buoyancy force to the maximum buoyancy force). (c) In the plot in (b) above, what are the maximum and minimum values of the slopes? (d) In the plot in (b) above, identify the abscissa values that correspond to the minimum and maximum values of the slopes in the plot.
Transcribed Image Text:2. We need to calculate the buoyance force on a partially immersed sphere. (a) Derive an expression for the buoyance force acting on a sphere as a function of the depth of immersion. (b) Plot this relation in non-dimensional form where the abscissa is the non- dimensional value of immersion depth (ratio of depth of immersion to the sphere diameter) and the ordinate is the non-dimensional buoyancy force (ratio of actual buoyancy force to the maximum buoyancy force). (c) In the plot in (b) above, what are the maximum and minimum values of the slopes? (d) In the plot in (b) above, identify the abscissa values that correspond to the minimum and maximum values of the slopes in the plot.
Expert Solution
steps

Step by step

Solved in 4 steps with 6 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS