Question

The surface Area of piston A is 2 square inches, while the surface are of piston B is 4 square inches. If piston A is pushed down 6 inches, how far will piston B move up?

Answer 1

Answer:

Distance piston B = 3 [in]

Explanation:

This problem can be solved using the pascal principle, which is applied for both pressures and volumes. In this case we use the definition of volumes, which says that the volume displaced fluid on one side of the Pistons should be equal to the volume displaced on the other side of the piston.

We know that the volume is equal to the product of an area by a length

$V_{A}=V_{B}\\A_{A}*d_{A}=A_{B}*d_{B}\\2*6=4*d_{B}\\d_{B}=12/4\\d_{B}=3[in]$