A pneumatic system is producing 100 lb/in^2 of gauge pressure. A cylinder is needed to press an adhesive label onto the product. It has been determined that 5 lb of force is optimal to complete this task. What is the required area of the pneumatic cylinder?

To determine the required area of the pneumatic cylinder, we can use the following formula:

\[
F = P \cdot A
\]

Where:
- \( F \) is the force needed (5 lb),
- \( P \) is the gauge pressure (100 lb/in²),
- \( A \) is the area of the cylinder (in²), which we need to find.

Rearranging the formula to solve for the area:

\[
A = \frac{F}{P}
\]

Now, substitute the known values:

\[
A = \frac{5 \, \text{lb}}{100 \, \text{lb/in}^2} = 0.05 \, \text{in}^2
\]

So, the required area of the pneumatic cylinder is \( 0.05 \, \text{in}^2 \).

Would you like more details on this, or have any questions?

Here are 5 related questions:
1. How does gauge pressure differ from absolute pressure in pneumatic systems?
2. What effect would doubling the pressure have on the required cylinder area?
3. How can you calculate the cylinder diameter if the area is known?
4. What factors influence the efficiency of pneumatic systems in industrial settings?
5. Can atmospheric conditions affect the performance of pneumatic systems?

**Tip:** Always ensure that your pneumatic system operates within the safe pressure limits to avoid damage to components and ensure safe operation.

Learn how to calculate the required area of a pneumatic cylinder given a 100 lb/in² gauge pressure and a force requirement of 5 lb. This step-by-step solution explores the relationship between pressure, force, and area, ideal for high school students studying physics or engineering basics.

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