The small piston in a hydraulic system experiences a force of 12N and moves a distance of 50mm ,if the large piston experiences a force of 24N ,calculate the distance that the large piston will move
Answer
To calculate the distance that the large piston will move, we can use the principle of Pascal's Law, which states that pressure is transmitted equally in all directions in a fluid.
First, we need to determine the ratio of the forces acting on the small and large pistons. Let's call this ratio "r".
r = Force on Large Piston / Force on Small Piston
r = 24N / 12N
r = 2
This means that the force on the large piston is twice as much as the force on the small piston.
Now, we can use the ratio "r" to calculate the distance the large piston will move. Let's call this distance "D".
r = Distance moved by Large Piston / Distance moved by Small Piston
2 = D / 50mm
To solve for D, we can cross multiply:
2 * 50mm = D
D = 100mm
Therefore, the large piston will move a distance of 100mm.