Question

left piston (input) right piston (output) force 68 pounds area 1 sq.in. 47 sq. in. pressure what is the output force?

Explanation:

Step1: Recall Pascal's Law

Pascal's Law states that pressure is transmitted equally in a fluid, so \( P_{left} = P_{right} \). Pressure \( P \) is calculated as \( P=\frac{F}{A} \), where \( F \) is force and \( A \) is area.

Step2: Calculate Input Pressure

For the left piston, \( F_{left} = 68 \) pounds, \( A_{left} = 1 \) sq.in. So \( P_{left}=\frac{F_{left}}{A_{left}}=\frac{68}{1}=68 \) psi.

Step3: Set Output Pressure Equal to Input Pressure

Since \( P_{right}=P_{left}=68 \) psi, and \( A_{right}=47 \) sq.in, use \( F_{right}=P_{right} \times A_{right} \).

Step4: Calculate Output Force

\( F_{right}=68\times47 = 3196 \) pounds.

Answer:

3196 pounds