Partial Surface Area of a Tube

In summary, the conversation discusses calculating the surface area of an exposed pipe with a radius of 0.848 m buried 0.590 m below the ground. The total surface area is 5.64 m2 and can be calculated using the formula 2πr2. The conversation also mentions using the arc length or side length to calculate the surface area in other cases.
  • #1
deweyirl
1
0
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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  • #2
You know the circumference right ##2\pi r^2## ?

and that a circle has 360 degrees but you're only interested in 92 degrees.
 
  • #3
##-## removed ##-##
 
  • #4
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
 
  • #5
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.
 

1. What is the definition of partial surface area of a tube?

The partial surface area of a tube refers to the area of the curved surface of a tube that is exposed or visible. It does not include the area of the ends of the tube.

2. How is the partial surface area of a tube calculated?

The partial surface area of a tube can be calculated by multiplying the length of the tube by the circumference of the tube at the exposed or visible section.

3. What is the importance of calculating the partial surface area of a tube?

Calculating the partial surface area of a tube is important in many scientific and engineering applications, such as determining the heat transfer rate or fluid flow rate through a tube. It also helps in designing and manufacturing tubes for specific purposes.

4. Can the partial surface area of a tube be greater than the total surface area?

Yes, the partial surface area of a tube can be greater than the total surface area if the ends of the tube are closed or covered. In this case, the total surface area would include the area of the ends, while the partial surface area would only consider the curved surface.

5. How does the partial surface area of a tube differ from the lateral surface area?

The lateral surface area of a tube refers to the area of the curved surface of the tube, including the ends. The partial surface area, on the other hand, only considers the curved surface of the tube that is visible or exposed. Therefore, the partial surface area will always be smaller than the lateral surface area.

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