You have two toys with two different shapes; one is shaped like a solid cylinder and the other like a solid sphere. The two toys have the same volume (V(cylinder) = V(sphere)) and same radius (R(cylinder)=R(sphere)). They both generate the same total heat (q(cylinder)=q(sphere)) and are made from the same material (k(cylinder)=k(sphere)). a) Determine whether the sphere toy or the cylinder toy has the higher heat flux anywhere in the toy b) Calculate the ratio of the maximum heat fluxes between them Hint: Assume the ends of the cylinder toy to be perfectly insulated.

Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Chapter2: Matter And Energy
Section: Chapter Questions
Problem 1RQ: Matter is a substance that occupies space and has A. color. B. texture. C. temperature. D. mass.
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You have two toys with two different shapes; one is shaped like a solid cylinder and the other like a solid sphere. The
two toys have the same volume (V(cylinder) = V(sphere)) and same radius (R(cylinder)=R(sphere)). They both
generate the same total heat (q(cylinder)=q(sphere)) and are made from the same material (k(cylinder)=k(sphere)).
a) Determine whether the sphere toy or the cylinder toy has the higher heat flux anywhere in the toy
b) Calculate the ratio of the maximum heat fluxes between them
Hint: Assume the ends of the cylinder toy to be perfectly insulated.
Transcribed Image Text:You have two toys with two different shapes; one is shaped like a solid cylinder and the other like a solid sphere. The two toys have the same volume (V(cylinder) = V(sphere)) and same radius (R(cylinder)=R(sphere)). They both generate the same total heat (q(cylinder)=q(sphere)) and are made from the same material (k(cylinder)=k(sphere)). a) Determine whether the sphere toy or the cylinder toy has the higher heat flux anywhere in the toy b) Calculate the ratio of the maximum heat fluxes between them Hint: Assume the ends of the cylinder toy to be perfectly insulated.
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