Calculate the volume (in ft3) of material used in making 350 ft of 2 in. type L copper tubing. ft3
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
Problem 1.1MA
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![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ac80b65-e9ab-4289-a518-468086809e82%2F8a636c76-5226-4d51-8bff-1d05e23a45fd%2F30t6sz_processed.jpeg&w=3840&q=75)
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,
\[ V = \frac{\pi}{4} \left( D^2_{\text{out}} - D^2_{\text{in}} \right) L \]
\[ V = \frac{\pi}{4} \left( 2.125^2 - 1.985^2 \right) \times 350 \times \frac{1}{12 \times 2} \]
\[ V = 1.098 \, \text{ft}^3 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ac80b65-e9ab-4289-a518-468086809e82%2F8a636c76-5226-4d51-8bff-1d05e23a45fd%2Fmu0pjek_processed.jpeg&w=3840&q=75)
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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