Answered: You are asked to design a metal hot dog…

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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Question

You are asked to design a metal hot dog holder for roasting hot dogs over an open
campfire. The holder is to be designed such that while the end holding the hot dog
becomes cherry red (1400oF), the other end can still be held without using an
insulated handle or glove (~95oF). Design it such that it can be used even on a
warm, still day, Tf = 90oF (Assume the convective heat transfer coefficient, h, for
a horizontal cylinder is uniform over the whole cylinder and equal to 4.0
Btu/hrft2oF)

Expert Solution

Step 1

To design:

The metal hot dog handle.

Given:

The temperature at the end of handle is $T_{s} = 1400 ° F$ .

The other end temperature is $T = 95 ° F$ .

The temperature even on warm still day is $T_{f} = 90 ° F$ .

The heat transfer coefficient is $h = 4.0 BTu / hr \cdot {ft}^{2} \cdot ° R$ .

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