Calculate the volume (in ft3) of material used in making 350 ft of 2 in. type L copper tubing. ft3

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Where does the 1/(12*2) come from?

**Problem Statement:**

Calculate the volume (in cubic feet) of material used in making 350 feet of 2-inch Type L copper tubing.

[Input Box] ft³

---

**Instructions:**

1. To find the volume of material, you need to consider the dimensions of the tubing and its length.
2. Type L copper tubing has a certain thickness you may need to calculate the volume.
3. Use the formula for the volume of a cylinder to find the total volume:
   \[
   \text{Volume} = \pi \times \left( \text{Outer radius}^2 - \text{Inner radius}^2 \right) \times \text{Length}
   \]
4. Convert the diameter measurements from inches to feet before calculation.
5. Calculate the inner and outer radius given the thickness or consult standard sizing for Type L copper tubing if needed.
Transcribed Image Text:**Problem Statement:** Calculate the volume (in cubic feet) of material used in making 350 feet of 2-inch Type L copper tubing. [Input Box] ft³ --- **Instructions:** 1. To find the volume of material, you need to consider the dimensions of the tubing and its length. 2. Type L copper tubing has a certain thickness you may need to calculate the volume. 3. Use the formula for the volume of a cylinder to find the total volume: \[ \text{Volume} = \pi \times \left( \text{Outer radius}^2 - \text{Inner radius}^2 \right) \times \text{Length} \] 4. Convert the diameter measurements from inches to feet before calculation. 5. Calculate the inner and outer radius given the thickness or consult standard sizing for Type L copper tubing if needed.
**Step 1**

Given that,

From the table of type L copper tube  
For a 2 in. nominal size tube:  
Outside diameter, \( D_{\text{out}} = 2.125 \, \text{in} \)  
Inside diameter, \( D_{\text{in}} = 1.985 \, \text{in} \)  
Length of the copper tubing: \( L = 350 \, \text{ft} \)  

**Step 2**

Hence the volume of type L copper tube of 2 inches in size can be calculated as,

\[ V = \frac{\pi}{4} \left( D^2_{\text{out}} - D^2_{\text{in}} \right) L \]

\[ V = \frac{\pi}{4} \left( 2.125^2 - 1.985^2 \right) \times 350 \times \frac{1}{12 \times 2} \]

\[ V = 1.098 \, \text{ft}^3 \]
Transcribed Image Text:**Step 1** Given that, From the table of type L copper tube For a 2 in. nominal size tube: Outside diameter, \( D_{\text{out}} = 2.125 \, \text{in} \) Inside diameter, \( D_{\text{in}} = 1.985 \, \text{in} \) Length of the copper tubing: \( L = 350 \, \text{ft} \) **Step 2** Hence the volume of type L copper tube of 2 inches in size can be calculated as, \[ V = \frac{\pi}{4} \left( D^2_{\text{out}} - D^2_{\text{in}} \right) L \] \[ V = \frac{\pi}{4} \left( 2.125^2 - 1.985^2 \right) \times 350 \times \frac{1}{12 \times 2} \] \[ V = 1.098 \, \text{ft}^3 \]
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