[tex]\begin{gathered} F1=485\text{ lb} \\ r1=\frac{3.2in}{2}=1.6in \\ F2=2800lb \\ r2=\frac{9.2in}{2}=4.6\text{ in} \\ efficiency=? \\ First\text{ Pascal to find the output force} \\ \frac{F1}{A1}=\frac{F_{out}}{A2} \\ F_{out}=\frac{A2F1}{A1} \\ \\ F_{out}=\frac{\pi(r2)^2F1}{\pi(r1)^2} \\ \\ F_{out}=\frac{(r2)^2F1}{(r1)^2} \\ \\ F_{out}=\frac{(4.6in)^2(485lb)}{(1.6in)^2} \\ \\ f_{out}=4008,8\text{ lb} \\ \\ efficiency=\frac{2800lb}{4008,8lb}\times100 \\ \\ efficiency=69.84\text{ \%} \\ The\text{ efficiency is 69.84 \%} \\ \end{gathered}[/tex]
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