How much total force is exerted on a two-inch piston with a cylinder pressure of 130 psi?

To determine the total force exerted on a piston, you can use the formula that relates pressure, area, and force. The formula is:

[ \text{Force} = \text{Pressure} \times \text{Area} ]

In this scenario, the pressure is given as 130 psi (pounds per square inch), and the piston diameter is two inches. First, you need to calculate the area of the piston using the formula for the area of a circle:

[ \text{Area} = \pi \left( \frac{d}{2} \right)^2 ]

Where ( d ) is the diameter. Using a diameter of 2 inches:

1. Calculate the radius:

[ \text{Radius} = \frac{2}{2} = 1 \text{ inch} ]

2. Now calculate the area:

[ \text{Area} = \pi (1)^2 = \pi \text{ square inches} \approx 3.14 \text{ square inches} ]

Next, substitute the values into the force equation:

[ \text{Force} = 130 \text{ psi} \times 3.14 \text{