Question

2 tubes of different area of cross section filled with liquid are connected. the area of cross section of small pipe is 1 metre square and that of the large one is 2 metre square. calculate the pressure experienced on the large piston if a force of 10 N is applied on the small piston....According to the pascal's law F2=​

Answer 1

Answer:

the area of cross section of small pipe is 1 metre square and that of the large one is 2 metre square. calculate the pressure experienced on the large piston if a force of 10 N is applied on the small piston....

Answer 2

Answer:

According to the pascal's law $F2= 40N$.

Explanation:

Since pressure is transmitted undiminished throughout the water

$\therefore \frac{F_{1}}{A_{1}}=\frac{F_{2}}{A_{2}}$

where $F_{1}$,$F_{2}$ are the forces on the smaller and one the larger pistons respectively and $A_{1}$ and $A_{2}$ are the respective areas.

$\begin{aligned}&\therefore F_{2}=\frac{A_{2}}{A_{1}} F_{1}=\frac{\pi\left(D_{2} / 2\right)^{2}}{\pi\left(D_{1} / D_{2}\right)^{2}} F_{1}=\left(\frac{D_{2}}{D_{1}}\right)^{2} F_{1} \\&=\frac{\left(2 \times 10^{-2} m\right)^{2}}{\left(1 \times 10^{-2} m\right)^{2}} \times 10 N=40 N\end{aligned}$