Type The Correct Answer In The Box.The Pressure Inside A Tire Is Measured As 28.0 Pounds Inch 2 28.0 \frac{\text{pounds}}{\text{inch}^2} 28.0 Inch 2 Pounds ​ . What Is Its Pressure In Newtons Centimeter 2 \frac{\text{newtons}}{\text{centimeter}^2} Centimeter 2 Newtons ​ ?1 Pound = 4.45 Newtons 1

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Understanding Pressure Units

Pressure is a fundamental physical quantity that is measured in various units depending on the context and application. In this problem, we are given the pressure inside a tire in pounds per square inch (psi) and asked to convert it to newtons per square centimeter (N/cm²). To solve this problem, we need to understand the relationship between different pressure units and perform unit conversions.

Given Information

  • Pressure inside the tire: 28.0poundsinch228.0 \frac{\text{pounds}}{\text{inch}^2}
  • Conversion factors:
    • 1 pound = 4.45 newtons
    • 1 inch = 2.54 centimeters

Step 1: Convert Pounds to Newtons

To convert pounds to newtons, we can use the given conversion factor: 1 pound = 4.45 newtons. We can multiply the pressure in pounds per square inch by this conversion factor to get the pressure in newtons per square inch.

pressure_psi = 28.0  # pressure in pounds per square inch
conversion_factor = 4.45  # conversion factor: 1 pound = 4.45 newtons
pressure_newtons_per_inch = pressure_psi * conversion_factor
print(f"Pressure in newtons per square inch: {pressure_newtons_per_inch} N/inch²")

Step 2: Convert Inches to Centimeters

To convert inches to centimeters, we can use the given conversion factor: 1 inch = 2.54 centimeters. We can multiply the pressure in newtons per square inch by this conversion factor to get the pressure in newtons per square centimeter.

conversion_factor = 2.54  # conversion factor: 1 inch = 2.54 centimeters
pressure_newtons_per_cm = pressure_newtons_per_inch / (conversion_factor ** 2)
print(f"Pressure in newtons per square centimeter: {pressure_newtons_per_cm} N/cm²")

Calculating the Final Answer

By following the steps above, we can calculate the pressure inside the tire in newtons per square centimeter.

final_answer = pressure_newtons_per_cm
print(f"The final answer is {final_answer} N/cm²")

Conclusion

In this problem, we converted the pressure inside a tire from pounds per square inch to newtons per square centimeter using unit conversion factors. We first converted pounds to newtons and then converted inches to centimeters. By following these steps, we arrived at the final answer, which is the pressure inside the tire in newtons per square centimeter.

Final Answer

Understanding Pressure Units

Pressure is a fundamental physical quantity that is measured in various units depending on the context and application. In this problem, we are given the pressure inside a tire in pounds per square inch (psi) and asked to convert it to newtons per square centimeter (N/cm²). To solve this problem, we need to understand the relationship between different pressure units and perform unit conversions.

Given Information

  • Pressure inside the tire: 28.0poundsinch228.0 \frac{\text{pounds}}{\text{inch}^2}
  • Conversion factors:
    • 1 pound = 4.45 newtons
    • 1 inch = 2.54 centimeters

Step 1: Convert Pounds to Newtons

To convert pounds to newtons, we can use the given conversion factor: 1 pound = 4.45 newtons. We can multiply the pressure in pounds per square inch by this conversion factor to get the pressure in newtons per square inch.

pressure_psi = 28.0  # pressure in pounds per square inch
conversion_factor = 4.45  # conversion factor: 1 pound = 4.45 newtons
pressure_newtons_per_inch = pressure_psi * conversion_factor
print(f"Pressure in newtons per square inch: {pressure_newtons_per_inch} N/inch²")

Step 2: Convert Inches to Centimeters

To convert inches to centimeters, we can use the given conversion factor: 1 inch = 2.54 centimeters. We can multiply the pressure in newtons per square inch by this conversion factor to get the pressure in newtons per square centimeter.

conversion_factor = 2.54  # conversion factor: 1 inch = 2.54 centimeters
pressure_newtons_per_cm = pressure_newtons_per_inch / (conversion_factor ** 2)
print(f"Pressure in newtons per square centimeter: {pressure_newtons_per_cm} N/cm²")

Calculating the Final Answer

By following the steps above, we can calculate the pressure inside the tire in newtons per square centimeter.

final_answer = pressure_newtons_per_cm
print(f"The final answer is {final_answer} N/cm²")

Conclusion

In this problem, we converted the pressure inside a tire from pounds per square inch to newtons per square centimeter using unit conversion factors. We first converted pounds to newtons and then converted inches to centimeters. By following these steps, we arrived at the final answer, which is the pressure inside the tire in newtons per square centimeter.

Final Answer

The final answer is 59.3\boxed{59.3} N/cm².

Q&A: Converting Pressure Units

Q: What is the relationship between pounds and newtons?

A: 1 pound is equal to 4.45 newtons.

Q: What is the relationship between inches and centimeters?

A: 1 inch is equal to 2.54 centimeters.

Q: How do I convert pounds per square inch to newtons per square centimeter?

A: To convert pounds per square inch to newtons per square centimeter, you need to follow these steps:

  1. Convert pounds to newtons using the conversion factor: 1 pound = 4.45 newtons.
  2. Convert inches to centimeters using the conversion factor: 1 inch = 2.54 centimeters.
  3. Multiply the pressure in newtons per square inch by the conversion factor to get the pressure in newtons per square centimeter.

Q: What is the final answer to the problem?

A: The final answer is 59.3\boxed{59.3} N/cm².

Q: Why do I need to convert units when working with pressure?

A: You need to convert units when working with pressure because different units are used in different contexts and applications. Converting units allows you to compare and work with pressure values in different units.

Q: Can I use online conversion tools to convert pressure units?

A: Yes, you can use online conversion tools to convert pressure units. However, it's always a good idea to understand the conversion process and the relationships between different units to ensure accuracy and precision.

Conclusion

In this article, we discussed the problem of converting pressure units from pounds per square inch to newtons per square centimeter. We provided step-by-step instructions and used Python code to demonstrate the conversion process. We also answered frequently asked questions about converting pressure units and provided additional resources for further learning.