How do you calculate the force produced by a hydraulic cylinder?

• A. F = P × A, where A is piston area (A = π × r²)
• B. F = P / A
• C. F = P × D
• D. F = A / P

Answer: (A)

Pressure acting on the piston face determines the force produced. The force from a hydraulic cylinder is found by multiplying the fluid pressure by the piston’s area: F = P × A. Since the piston face is circular, its area is A = π r² (or A = π (D/2)² if you know the diameter). This ensures the units line up (pressure times area gives force). For example, with a given pressure and a piston diameter, you compute the area and then multiply by the pressure to get the push force. If the cylinder is operating on the rod side or during retract, remember the rod takes up some area, so the effective area can be smaller and the force correspondingly less.