Question

please clear the equation right

= A force FI=COON is applied to the left piston whose diameter is 8.00Cm. What force to experience the piston to balance F22 A2=aAI

Answer 1

This is based on pascals law. According to Pascal's law, when a pressure changes at some point in a given incompressible fluid, same change occurs at each and every point inside the liquid. Using this, since the pressure change at the left arm is

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

The same change must occur even at the right arm. So we get

$\\\\P_2=\frac{F_2}{A_2}=P_1 \\\\\frac{F_2}{A_2}=\frac{F_1}{A_1}$

We know that $\\\\A_2=2A_1$this gives us

$\\\\\frac{F_2}{2A_1}=\frac{F_1}{A_1}\\\\F_2=2F_1\\\\F_2=2\times 600\\\\F_2=1200\,N$

This is the answer.