If a force of 5000 lbs is applied to a plunger with an area of 25 square inches, what is the calculated system pressure?

If a force of 5000 lbs is applied to a plunger with an area of 25 square inches, what is the calculated system pressure?

• A. 100 psi
• B. 200 psi
• C. 300 psi
• D. 400 psi

Answer: (B)

To determine the system pressure when a force is applied to an area, you can use the formula for pressure, which is defined as force divided by area. In this case, you have a force of 5000 lbs and an area of 25 square inches. Using the formula: Pressure (P) = Force (F) / Area (A) Substituting the given values: P = 5000 lbs / 25 sq in Calculating this gives: P = 200 lbs/sq in Since pressure is often expressed in psi (pounds per square inch), the calculated pressure is 200 psi. This calculation shows that when a force is applied over a specified area, the resulting pressure can be accurately calculated, demonstrating the direct relationship between force, area, and pressure in a mechanical system. Thus, the pressure of 200 psi is the correct answer.

To determine the system pressure when a force is applied to an area, you can use the formula for pressure, which is defined as force divided by area. In this case, you have a force of 5000 lbs and an area of 25 square inches.

Using the formula:

Pressure (P) = Force (F) / Area (A)

Substituting the given values:

P = 5000 lbs / 25 sq in

Calculating this gives:

P = 200 lbs/sq in

Since pressure is often expressed in psi (pounds per square inch), the calculated pressure is 200 psi. This calculation shows that when a force is applied over a specified area, the resulting pressure can be accurately calculated, demonstrating the direct relationship between force, area, and pressure in a mechanical system. Thus, the pressure of 200 psi is the correct answer.