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Hydraulic Cylinder Displacement Calculator

Cylinder Displacement Formula:

\[ V = \pi \times r^2 \times h \]

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cm

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1. What is Cylinder Displacement?

Cylinder displacement refers to the volume of fluid displaced by a hydraulic cylinder during one complete stroke. It's a critical measurement in hydraulic systems design and performance analysis.

2. How Does the Calculator Work?

The calculator uses the cylinder volume formula:

\[ V = \pi \times r^2 \times h \]

Where:

Explanation: The formula calculates the volume of a cylinder by multiplying the area of the circular base (πr²) by the height (stroke length).

3. Importance of Cylinder Displacement Calculation

Details: Accurate displacement calculation is essential for hydraulic system design, pump selection, flow rate determination, and overall system efficiency analysis.

4. Using the Calculator

Tips: Enter the cylinder radius and stroke length in centimeters. Both values must be positive numbers. The calculator will compute the displacement volume in cubic centimeters.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between displacement volume and swept volume?
A: In hydraulic contexts, these terms are often used interchangeably to refer to the volume of fluid displaced by a cylinder during one complete stroke.

Q2: How do I calculate for different units?
A: Convert all measurements to consistent units before calculation. For inches, the result will be in cubic inches; for meters, cubic meters, etc.

Q3: Does this calculation work for both single-acting and double-acting cylinders?
A: Yes, this calculates the volume for one chamber. Double-acting cylinders have displacement on both extend and retract strokes (though retract displacement may differ if rod diameter is significant).

Q4: How does rod diameter affect the calculation for double-acting cylinders?
A: The extend stroke uses the full piston area, while the retract stroke uses the annular area (piston area minus rod area).

Q5: Can I use diameter instead of radius?
A: Yes, but remember radius = diameter/2, so the formula becomes V = π × (d/2)² × h = π × d² × h / 4

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