Question

Какую силу необходимо приложить к малому поршню, чтобы поднять груз весом 800 Н который находится на большом поршне с помощью гидравлической машины? Площадь малого поршня 0,2 м2, площадь большого поршня 12 м2 .

Answer 1

Ответ: 13,33Н

Объяснение:

Дано:

F2=360Н

S2=12м²

S1=0,2м²

-------------------

F1-?

F1/F2=S2/S1

Отсюда F1=F2*S1/S2=800*0,2/12=13,33Н

Answer 2

Calculating the Force Required to Lift the Load Using a Hydraulic Machine

To calculate the force required to lift the load using a hydraulic machine, we can use the principles of Pascal's law, which states that the pressure exerted at any point of a confined fluid is transmitted undiminished in all directions throughout the fluid and to the walls of its container. This principle allows us to determine the force required to lift the load based on the given areas of the small and large pistons.

Formula for Calculating Force in a Hydraulic System

According to Pascal's law, the force applied to the small piston is transmitted through the hydraulic fluid and results in a larger force on the large piston. The relationship between the forces and areas of the pistons can be expressed using the formula:

F1/A1 = F2/A2

Where: - F1 = Force applied to the small piston - A1 = Area of the small piston - F2 = Force exerted by the large piston - A2 = Area of the large piston

Applying the Formula to the Given Values

In this scenario, the force required to lift the load (F2) is 800 N, the area of the small piston (A1) is 0.2 m^2, and the area of the large piston (A2) is 12 m^2.

Using the formula F1/A1 = F2/A2, we can rearrange it to solve for F1:

F1 = (F2 * A1) / A2

Substituting the given values: F1 = (800 N * 0.2 m^2) / 12 m^2

Calculating the force required to lift the load using the hydraulic machine: F1 = 13.33 N

Therefore, the force that needs to be applied to the small piston to lift the 800 N load on the large piston using the hydraulic machine is 13.33 N.