Question

Площа малого поршня гідравлічної машини 12 см², на нього діє сила 0,6кН. Яку силу необхідно прикласти до великого поршня, щоб поршні були в рівновазі?Площа великого поршня 400 см²​

Answer 1

Ответ: 20кН.

Объяснение: F1/S1=F2/S2;

F2=F1*S2/S1=600*400/12=20000Н=20кН.

Answer 2

To find the force required to balance the hydraulic machine with a small piston area of 12 cm² and a force of 0.6 kN, and a large piston area of 400 cm², we can use the principle of Pascal's law. According to Pascal's law, the pressure in a fluid is transmitted equally in all directions.

Calculation:

The formula to calculate the force exerted on a piston is:

Force = Pressure × Area

Given: Small piston area = 12 cm² Force on the small piston = 0.6 kN Large piston area = 400 cm²

First, let's convert the force on the small piston from kN to N: 0.6 kN = 0.6 × 1000 N = 600 N

Next, let's calculate the pressure exerted on the small piston: Pressure = Force / Area Pressure = 600 N / 12 cm²

Now, let's calculate the force required to balance the system on the large piston: Force = Pressure × Area Force = (600 N / 12 cm²) × 400 cm²

Answer:

The force required to balance the hydraulic machine with a small piston area of 12 cm² and a force of 0.6 kN, and a large piston area of 400 cm² is 20,000 N.

Please note that the above calculation assumes ideal conditions and does not take into account factors such as friction, leakage, or the weight of the pistons.