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=(F_1)/(A_1)`

The pressure output at the other piston is,

`P_2=(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_{}}=(F_2)/(A_2)`

Which gives us,

`F_2=\frac{A_2_{}}{A_1}* 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