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How much effort will be required on the small piston having cross section area zam to lift a lead of 4000N on a large piton having cross sectional area 1m². also calculate pressure exerted on the small piston.​

asked
User Fonini
by
7.8k points

1 Answer

4 votes

Answer:

4000 Nm^-2

Step-by-step explanation:

Dude that "zam" drove me away, anyway:

Given:

Force on the large piston (F1) = 4000 N

Cross-sectional area of the large piston (A1) = 1 m²

Cross-sectional area of the small piston (A2) = zam (let's assume zam represents the area in square meters)

According to Pascal's law, the pressure exerted on the large piston (P1) is equal to the pressure exerted on the small piston (P2):

P1 = P2

Pressure is defined as force divided by area:

P1 = F1 / A1

P2 = F2 / A2

Since P1 = P2, we can equate the two expressions:

F1 / A1 = F2 / A2

Rearranging the equation to solve for F2, the force on the small piston:

F2 = (F1 / A1) * A2

Substituting the given values:

F2 = (4000 N / 1 m²) * zam

Now, to calculate the pressure exerted on the small piston (P2), we can divide the force by the area:

P2 = F2 / A2

Substituting the values we obtained:

P2 = [(4000 N / 1 m²) * zam] / zam

The area "zam" cancels out in the equation, leaving us with:

P2 = 4000 N/m²

Therefore, the pressure exerted on the small piston is 4000 N/m².

To determine the effort required on the small piston, we need to know the area of the small piston. Once we have that information, we can substitute it into the equation for F2 to calculate the effort required