How do you calculate the surface area and pressure in hydraulics in slave and master pistons using this example? E.g. master piston pressure = 20N and the surface are is 10cm² and the slave piston's pressure is 60N.
Answers
Answer:Here
Explanation: We can derive a relationship between the forces in the simple hydraulic system shown in Figure 1 by applying Pascal’s principle. Note first that the two pistons in the system are at the same height, and so there will be no difference in pressure due to a difference in depth. Now the pressure due to F1 acting on area A1 is simply
P
1
=
F
1
A
1
P
1
=
F
1
A
1
, as defined by
P
=
F
A
P
=
F
A
. According to Pascal’s principle, this pressure is transmitted undiminished throughout the fluid and to all walls of the container. Thus, a pressure P2 is felt at the other piston that is equal to P1. That is P1 = P2. But since
P
2
=
F
2
A
2
P
2
=
F
2
A
2
, we see that
F
1
A
1
=
F
2
A
2
F
1
A
1
=
F
2
A
2
. This equation relates the ratios of force to area in any hydraulic system, providing the pistons are at the same vertical height and that friction in the system is negligible. Hydraulic systems can increase or decrease the force applied to them. To make the force larger, the pressure is applied to a larger area. For example, if a 100-N force is applied to the left cylinder in Figure 1 and the right one has an area five times greater, then the force out is 500 N. Hydraulic systems are analogous to simple levers, but they have the advantage that pressure can be sent through tortuously curved lines to several places at once.