Question

15) Very importantly, a hydraulic press can multiplyA) forces.B) pressures.C) energyD) all of the aboveE) none of the above

Answer 1

Pascal's principle states that the pressure is transmitted undiminished through a static fluid.

That means the pressure applied to one piston of a hydraulic press will be transmitted to the other piston undiminished.

Let the pressure input at one piston be,

$P_1=\frac{F_1}{A_1}$

The pressure output at the other piston is,

$P_2=\frac{F_2}{A_2}$

Where F is the force applied and A is the area of the piston.

From Pascal's principle,

$P_1=P_2$

i.e.,

$\frac{F_1}{A_1_{}}=\frac{F_2}{A_2}$

Which gives us,

$F_2=\frac{A_2_{}}{A_1}\times F_1$

In a hydraulic press, the pressure is applied to the piston with the smaller area and the output is taken from the piston with the smaller area.

Threfore, A