Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
To convert the pressure from pounds per square inch ([tex]$\frac{\text{lb}}{\text{in}^2}$[/tex]) to newtons per square centimeter ([tex]$\frac{\text{N}}{\text{cm}^2}$[/tex]), follow these steps:
1. Start with the given pressure in pounds per square inch:
[tex]\[ 28.0 \frac{\text{lb}}{\text{in}^2} \][/tex]
2. Convert pounds to newtons:
[tex]\[ 1 \text{ lb} = 4.45 \text{ N} \][/tex]
Therefore,
[tex]\[ 28.0 \frac{\text{lb}}{\text{in}^2} \times 4.45 \frac{\text{N}}{\text{lb}} \][/tex]
3. Convert square inches to square centimeters:
[tex]\[ 1 \text{ in}^2 = 6.45 \text{ cm}^2 \][/tex]
Therefore,
[tex]\[ 28.0 \left( \frac{\text{lb}}{\text{in}^2} \times 4.45 \right) / 6.45 \][/tex]
4. Calculate the intermediate value:
[tex]\[ 28.0 \times 4.45 = 124.6 \text{ N/in}^2 \][/tex]
Now divide by 6.45 to convert to [tex]$\text{N/cm}^2$[/tex]:
[tex]\[ \frac{124.6}{6.45} = 19.318 \text{ N/cm}^2 \][/tex]
5. Express the answer to the correct number of significant figures:
- The initial value (28.0) has 3 significant figures.
- Therefore, the final answer should also have 3 significant figures.
Hence, the pressure is:
[tex]\[ \boxed{19.318} \frac{\text{newtons}}{\text{centimeter}^2} \][/tex]
1. Start with the given pressure in pounds per square inch:
[tex]\[ 28.0 \frac{\text{lb}}{\text{in}^2} \][/tex]
2. Convert pounds to newtons:
[tex]\[ 1 \text{ lb} = 4.45 \text{ N} \][/tex]
Therefore,
[tex]\[ 28.0 \frac{\text{lb}}{\text{in}^2} \times 4.45 \frac{\text{N}}{\text{lb}} \][/tex]
3. Convert square inches to square centimeters:
[tex]\[ 1 \text{ in}^2 = 6.45 \text{ cm}^2 \][/tex]
Therefore,
[tex]\[ 28.0 \left( \frac{\text{lb}}{\text{in}^2} \times 4.45 \right) / 6.45 \][/tex]
4. Calculate the intermediate value:
[tex]\[ 28.0 \times 4.45 = 124.6 \text{ N/in}^2 \][/tex]
Now divide by 6.45 to convert to [tex]$\text{N/cm}^2$[/tex]:
[tex]\[ \frac{124.6}{6.45} = 19.318 \text{ N/cm}^2 \][/tex]
5. Express the answer to the correct number of significant figures:
- The initial value (28.0) has 3 significant figures.
- Therefore, the final answer should also have 3 significant figures.
Hence, the pressure is:
[tex]\[ \boxed{19.318} \frac{\text{newtons}}{\text{centimeter}^2} \][/tex]
Answer:
Explanation:
To convert the pressure from pounds per square inch ($\frac{\text{lb}}{\text{in}^2}$) to newtons per square centimeter ($\frac{\text{N}}{\text{cm}^2}$), follow these steps:
1. Start with the given pressure in pounds per square inch:
\[
28.0 \frac{\text{lb}}{\text{in}^2}
\]
2. Convert pounds to newtons:
\[
1 \text{ lb} = 4.45 \text{ N}
\]
Therefore,
\[
28.0 \frac{\text{lb}}{\text{in}^2} * 4.45 \frac{\text{N}}{\text{lb}}
\]
3. Convert square inches to square centimeters:
\[
1 \text{ in}^2 = 6.45 \text{ cm}^2
\]
Therefore,
\[
28.0 \left( \frac{\text{lb}}{\text{in}^2} * 4.45 \right) / 6.45
\]
4. Calculate the intermediate value:
\[
28.0 * 4.45 = 124.6 \text{ N/in}^2
\]
Now divide by 6.45 to convert to $\text{N/cm}^2$:
\[
(124.6)/(6.45) = 19.318 \text{ N/cm}^2
\]
5. Express the answer to the correct number of significant figures:
- The initial value (28.0) has 3 significant figures.
- Therefore, the final answer should also have 3 significant figures.
Hence, the pressure is:
\[
\boxed{19.318} \frac{\text{newtons}}{\text{centimeter}^2}
\]
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.
