volume_mute
Output Force Calculation
publish date: 2026/05/18 21:47:6.838023 UTC
A hydraulic lift utilizes an enclosed fluid to connect a small input piston to a large output piston. Review the system parameters below:
If a force of \(30\text{ lb}\) is pushed down on the small piston (\(A_1 = 3\text{ in}^2\)), what upward force (\(F_2\)) is exerted by the liquid on the larger output piston (\(A_2 = 15\text{ in}^2\))?
Answer = (1)
Correct Answer
(1) 150
Explanation
According to Pascal's principle, the pressure throughout the enclosed fluid remains constant (\(P_1 = P_2\)):
\[ \frac{F_1}{A_1} = \frac{F_2}{A_2} \]
\[ \frac{30\text{ lb}}{3\text{ in}^2} = \frac{F_2}{15\text{ in}^2} \]
\[ 10\text{ lb/in}^2 = \frac{F_2}{15\text{ in}^2} \implies F_2 = 10 \times 15 = 150\text{ lb} \]
Reference
Basic Physics: A Self-Teaching Guide