If a motor compressor has a 2" bore and a 3" stroke, what is the calculated piston displacement in cubic inches?

To find the piston displacement of a motor compressor, you can use the formula for the volume of a cylinder:

[

\text{Volume} = \pi \times \left( \frac{D}{2} \right)^2 \times H

]

where (D) is the bore diameter, (H) is the stroke length, and (\pi) is approximately 3.14.

In this case, the bore diameter is 2 inches, and the stroke is 3 inches. First, calculate the radius, which is half the diameter:

[

\text{Radius} = \frac{D}{2} = \frac{2}{2} = 1 \text{ inch}

]

Now substitute the values into the volume formula:

[

\text{Volume} = \pi \times (1)^2 \times 3

]

This simplifies to:

[

\text{Volume} = \pi \times 1 \times 3 = 3\pi

]

Now, substituting (\pi) with approximately 3.14:

[

3\pi \approx 3 \times 3.14 = 9