A cylinder measuring 3.4 cm wide and 4.1 cm high is filled with gas. The piston is pushed down with a steady force measured to be 6.2 N • piston cylinder gas Calculate the pressure of the gas inside the cylinder. Write your answer in units of kilopascals. Round your answer to 2 significant digits. O kPa

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### Interconverting Pressure and Force

#### Objective:
Calculate the pressure of a gas inside a cylinder using given measurements and force.

#### Scenario:
A cylinder measuring 3.4 cm wide and 4.1 cm high is filled with gas. The piston is pushed down with a steady force measured to be 6.2 N.

#### Diagram Explanation:
The diagram shows a cylindrical container filled with gas. The cylinder has:
- A piston labeled at the top.
- The gas occupies the interior of the container, labeled accordingly.
- The cylinder itself is labeled as "cylinder."

The dimensions of the cylinder are:
- Width: 3.4 cm
- Height: 4.1 cm

#### Task:
Calculate the pressure of the gas inside the cylinder. Write your answer in units of kilopascals (kPa). Round your answer to 2 significant digits.

#### Equation:
Pressure (\(P\)) can be calculated using the formula:
\[ P = \frac{F}{A} \]
where:
- \(P\) is the pressure,
- \(F\) is the force applied,
- \(A\) is the area over which the force is applied.

The cross-sectional area (\(A\)) of the cylinder can be calculated using the formula for the area of a circle:
\[ A = \pi \left(\frac{d}{2}\right)^2 \]
where \(d\) is the diameter.

#### Input Fields:
- An input box for entering the pressure in kPa.

After inputting the value, click on the "Check" button to verify the answer. 

#### Additional Resources:
- An "Explanation" button is available to understand the calculation process.
- A "Check" button to validate your answer.

Ensure you round your answer to two significant digits.

##### Note: Practice this process to strengthen your understanding of converting force to pressure in different units.

---
This educational content is designed to help students learn how to interconvert pressure and force using practical examples and clear explanations.
Transcribed Image Text:### Interconverting Pressure and Force #### Objective: Calculate the pressure of a gas inside a cylinder using given measurements and force. #### Scenario: A cylinder measuring 3.4 cm wide and 4.1 cm high is filled with gas. The piston is pushed down with a steady force measured to be 6.2 N. #### Diagram Explanation: The diagram shows a cylindrical container filled with gas. The cylinder has: - A piston labeled at the top. - The gas occupies the interior of the container, labeled accordingly. - The cylinder itself is labeled as "cylinder." The dimensions of the cylinder are: - Width: 3.4 cm - Height: 4.1 cm #### Task: Calculate the pressure of the gas inside the cylinder. Write your answer in units of kilopascals (kPa). Round your answer to 2 significant digits. #### Equation: Pressure (\(P\)) can be calculated using the formula: \[ P = \frac{F}{A} \] where: - \(P\) is the pressure, - \(F\) is the force applied, - \(A\) is the area over which the force is applied. The cross-sectional area (\(A\)) of the cylinder can be calculated using the formula for the area of a circle: \[ A = \pi \left(\frac{d}{2}\right)^2 \] where \(d\) is the diameter. #### Input Fields: - An input box for entering the pressure in kPa. After inputting the value, click on the "Check" button to verify the answer. #### Additional Resources: - An "Explanation" button is available to understand the calculation process. - A "Check" button to validate your answer. Ensure you round your answer to two significant digits. ##### Note: Practice this process to strengthen your understanding of converting force to pressure in different units. --- This educational content is designed to help students learn how to interconvert pressure and force using practical examples and clear explanations.
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