Question

The mechanical advantage of a hydraulic press is 5. A car of mass 1500 kg is lifted by it when placed on a piston of a hydraulic press of area of cross section $5m^2$. Find the area of cross-section of piston where the effort is applied.

• A. $4m^2$
• B. $3m^2$
• C. $2m^2$
• D. $1m^2$

Answer 1

Answer: (D)

$1m^2$

$\begin{array}{c}\text{Mechanical advantage}=M.A=5\\ \text{Mass}\text{/ Load}=1500\text{k.g}\\ \text{Area}=5m^2\end{array}$

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$\begin{array}{cc}MA& =\frac{Load}{\text{effort}}\\ 5& =\frac{1500}{\text{effort}}\\ \text{Effort}& =300kg\end{array}$

$\begin{array}{c}\text{According to Pascal's Law}\\ \begin{array}{c}\frac{\text{Load}}{{\text{Area}}_L}\end{array}=\frac{E\text{ffort}}{{\text{Area}}_E}\\ \frac{1500}{5}=\frac{300}{{\text{Area}}_E}\\ \text{Area}=1m^2\end{array}$