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Piston area is [tex]$24 \, \text{in}^2$[/tex] and force is 97 pounds. What is the pressure?

A. 3,007 psi
B. 4.04 psi
C. 672 psi
D. 14,556 psi

Answer :

To find the pressure when you know the force and area, you can use the formula:

[tex]\[ \text{Pressure} = \frac{\text{Force}}{\text{Area}} \][/tex]

Here's a step-by-step breakdown of how to solve for the pressure:

1. Identify the given values:
- Force = 97 pounds
- Area = 24 square inches (in²)

2. Plug the values into the formula:
[tex]\[ \text{Pressure} = \frac{97 \text{ pounds}}{24 \text{ in}^2} \][/tex]

3. Calculate the pressure:
By performing the division:
[tex]\[ \text{Pressure} = 4.041666666666667 \][/tex]

4. Choose the closest answer from the given options:
Among the given options, the closest to our calculated value is:
[tex]\[ \boxed{4.04 \text{ psi}} \][/tex]

Therefore, the pressure is approximately 4.04 psi.

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