Problem3 A metallic sphere (initial radius ro, density ps) is suspended above a cylindrical tank already containing the same metal in liquid state (density pi). The tank's diameter is D and the initial level of the liquid metal in the tank is ho. The sphere is melting slowly, and its diameter is decreasing at a constant rate a(m/s). Determine: (a) the expression for the variation of the sphere's radius with time, (b) the expression for the increase with time of the level of the liquid metal in the tank resulting from the melting sphere, (c) the final height of the liquid metal in the tank once the sphere is completely melted. Check your answer by a global mass balance.

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
Question
Problem3
A metallic sphere (initial radius ro, density ps) is suspended above a cylindrical tank already containing
the same metal in liquid state (density p). The tank's diameter is D and the initial level of the liquid
metal in the tank is ho. The sphere is melting slowly, and its diameter is decreasing at a constant rate
a(m/s).
Determine:
(a) the expression for the variation of the sphere's radius with time,
(b) the expression for the increase with time of the level of the liquid metal in the tank resulting from
the melting sphere,
(c) the final height of the liquid metal in the tank once the sphere is completely melted. Check your
answer by a global mass balance.
Transcribed Image Text:Problem3 A metallic sphere (initial radius ro, density ps) is suspended above a cylindrical tank already containing the same metal in liquid state (density p). The tank's diameter is D and the initial level of the liquid metal in the tank is ho. The sphere is melting slowly, and its diameter is decreasing at a constant rate a(m/s). Determine: (a) the expression for the variation of the sphere's radius with time, (b) the expression for the increase with time of the level of the liquid metal in the tank resulting from the melting sphere, (c) the final height of the liquid metal in the tank once the sphere is completely melted. Check your answer by a global mass balance.
Expert Solution
steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Knowledge Booster
Convection
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