Solving a Short Heat Question with q = Q/A - Area Calculation Help

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Discussion Overview

The discussion revolves around calculating the surface area of a cylinder and its relation to heat transfer, specifically using the formula q = Q/A. Participants are attempting to solve a homework problem involving heat flux and power output in a cylindrical context.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant expresses difficulty in calculating the area needed for the heat flux equation.
  • Another participant asks for the total power output and the surface area of a cylinder, specifying that the ends are negligible.
  • A participant mentions the formula for the surface area of a cylinder as 2πrh but notes uncertainty about how power relates to radius or length.
  • Another participant suggests that the power output per volume is provided and that the volume of the cylinder can be calculated easily.
  • A later reply indicates that the initial participant has resolved their confusion after receiving assistance.

Areas of Agreement / Disagreement

The discussion remains unresolved regarding the specific calculations needed, as participants have differing levels of understanding and clarity about the relationships between the variables involved.

Contextual Notes

Participants have not fully established the relationship between power, radius, and length, and there may be assumptions about the provided variables that are not explicitly stated.

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Homework Statement



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Homework Equations



q = Q/A where q = heat flux, Q = rate of heat transfer, A = area

The Attempt at a Solution



Well I guess my main problem is figuring out the area. I know the answer to the question, but I can't seem to calculate it right.

Thanks everyone
 
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What is the total power output (in W), letting r be the radius and L be the length of the cylinder? What is the surface area of a cylinder, ignoring the ends (which are negligible for a long cylinder)?
 
Mapes said:
What is the total power output (in W), letting r be the radius and L be the length of the cylinder? What is the surface area of a cylinder, ignoring the ends (which are negligible for a long cylinder)?

I don't know, those are the only variables given in the question.
 
Studious_stud said:
I don't know, those are the only variables given in the question.

Yes, I'm asking you to calculate both quantities as part of solving the problem.
 
Mapes said:
Yes, I'm asking you to calculate both quantities as part of solving the problem.

Well, I know the surface area is 2pi rh. However, I don't think I've ever seen a formula relating power to radius or length..
 
You're given the power output per volume, yes? And the volume of the cylinder is easily calculated.
 
Mapes said:
You're given the power output per volume, yes? And the volume of the cylinder is easily calculated.

Ahh, I got it now. Thanks!
 

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