Pascal's law

Please calculate according to Pascal's law. Krupp's machines were known for their large size. In 1861, the inventor put a blacksmith's steam hydraulic press into operation in Essen. What was the cross-sectional area of the larger piston if a compressive force of 150 kN could develop by applying a force of 200 N to a small piston with a capacity of 40 cm²?

Final Answer:

S₂ =  30000 cm²

Step-by-step explanation:

$$\begin{gathered} p_1=p_2 \\ {F}_1/S_1=F_2/S_2 \\ {F}_1=200\text{N} \\ {S}_1=40{\text{cm}}^2 \\ {F}_2=150000\text{N} \\ {S}_2=\frac{F_2}{F_1}\cdot S_1=\frac{150000}{200}\cdot 40=\frac{150000\cdot 40}{200}=\frac{6000000}{200}=30000{\text{cm}}^2 \end{gathered}$$

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