Partial Surface Area of a Tube

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Discussion Overview

The discussion revolves around calculating the surface area of an exposed section of a pipe that is partially buried underground. Participants explore the geometry involved, particularly focusing on the relevant dimensions and angles that affect the surface area calculation.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant states the formula for the total surface area of the pipe as 2 times pi times the radius times the length, calculating it to be 5.64 m².
  • Another participant mentions the circumference of the pipe and suggests that only a portion of the circle (92 degrees) is relevant for the calculation.
  • A later reply references a circular segment to assist with cases lacking specific angle measurements.
  • One participant questions the meaning of a specific number ("1219") in a drawing, suggesting it could relate to the arc length of the exposed pipe.

Areas of Agreement / Disagreement

Participants express differing views on how to approach the calculation of the exposed surface area, indicating that the discussion remains unresolved with multiple competing perspectives on the method to be used.

Contextual Notes

There are assumptions about the angle of exposure and the specific dimensions of the pipe that are not fully clarified. The discussion also lacks a definitive method for calculating the surface area of the exposed section.

deweyirl
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Hi all,

I hope this is the correct place to post this.

Below is a section of a pipe. The pipe has a radius of 0.848 m.

For this example, assume the pipe is buried below ground but a section of it remains exposed. The centre of the pipe is buried 0.590 mbelow the ground. If we assume the pipe is 1.00 m in length, what I am wanting to know is, how is the surface area of the exposed pipe calculated?

I know the surface area of the pipe would be 2 times pi times the radius times the length of the pipe.
The total surface area of the pipe would be 5.64 m2.

Thanks in advance
 

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You know the circumference right ##2\pi r^2## ?

and that a circle has 360 degrees but you're only interested in 92 degrees.
 
##-## removed ##-##
 
deweyirl said:
...
The centre of the pipe is buried 0.590 mbelow the ground. If we assume the pipe is 1.00 m in length, what I am wanting to know is, how is the surface area of the exposed pipe calculated?
...
For other cases for which you don't have a tool that can give you the angle, this may help:
https://en.wikipedia.org/wiki/Circular_segment
 
Deweyirl. What is the "1219" number in your drawing? That might be the arc length of the exposed pipe or the side if were to be cut and stretched out to make a square.
 

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