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Hydraulic Cylinder Force Formula

Hydraulic Cylinder Force Formula:

\[ F = P \times \pi \times \left(\frac{d}{2}\right)^2 \]

Pa
m

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1. What is Hydraulic Cylinder Force?

Definition: This calculator computes the force generated by a hydraulic cylinder based on system pressure and piston diameter.

Purpose: It helps engineers and technicians determine the output force of hydraulic cylinders in various applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ F = P \times \pi \times \left(\frac{d}{2}\right)^2 \]

Where:

Explanation: The pressure is multiplied by the piston area (calculated from diameter) to determine force.

3. Importance of Hydraulic Force Calculation

Details: Accurate force calculation ensures proper system design, safety, and performance in hydraulic machinery.

4. Using the Calculator

Tips: Enter the system pressure in Pascals and piston diameter in meters. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: How do I convert other pressure units to Pascals?
A: 1 bar = 100,000 Pa, 1 psi ≈ 6894.76 Pa, 1 atm ≈ 101325 Pa

Q2: What if I know radius instead of diameter?
A: Multiply radius by 2 to get diameter for this calculation.

Q3: Does this account for friction losses?
A: No, this is theoretical force. Actual force may be 5-10% less due to friction.

Q4: How does rod diameter affect the calculation?
A: This formula calculates extending force. For retracting force, subtract rod area from piston area.

Q5: What's a typical operating pressure range?
A: Most hydraulic systems operate between 70-350 bar (7-35 MPa or 1000-5000 psi).

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