Which statement correctly describes how area affects hydraulic force at constant pressure?

Which statement correctly describes how area affects hydraulic force at constant pressure?

• A. Increasing area has no effect on force.
• B. Doubling the piston area doubles the force for the same pressure.
• C. Force decreases as area increases.
• D. Force is proportional to the square of the area.

Answer: (B)

In hydraulic systems, force equals pressure times area: F = P × A. When the pressure is constant, the force changes directly with the area. So if you double the piston area, you double the force. For example, with the same pressure, increasing the area from A to 2A doubles the total force from P×A to P×(2A). The other options would imply no change, a decrease, or a squared relationship, none of which aligns with F = P × A.

In hydraulic systems, force equals pressure times area: F = P × A. When the pressure is constant, the force changes directly with the area. So if you double the piston area, you double the force. For example, with the same pressure, increasing the area from A to 2A doubles the total force from P×A to P×(2A). The other options would imply no change, a decrease, or a squared relationship, none of which aligns with F = P × A.