What is the volume required for a hydraulic cylinder that has an area of 12 sq. inches and is to move 3 ft. in 8 seconds?

To determine the volume required for a hydraulic cylinder, you first need to calculate the volume of fluid needed to move the cylinder through a specified distance. The volume ( V ) can be calculated using the formula:

[

V = A \times d

]

where ( A ) is the area of the cylinder and ( d ) is the distance to move it. In this case, the cylinder has an area of 12 square inches, and it needs to move 3 feet.

First, convert the distance from feet to inches, since the area is given in square inches. There are 12 inches in a foot, so:

[

d = 3 \text{ ft} \times 12 \text{ in/ft} = 36 \text{ in}

]

Now, plug in the values into the volume formula:

[

V = 12 \text{ sq. in.} \times 36 \text{ in} = 432 \text{ cubic inches}

]

Next, to find the flow rate in gallons per minute (GPM), convert cubic inches to gallons (1 gallon = 231 cubic inches):

[

\text{GALLONS} = \frac{432