Question

СРОЧНО БУДЬ ЛАСКА .за допомогою гідравлічного пресу площі циліндрів якго відрізняються в 100 раз потрібно підняти вантаж вагою 250 кН яку силу потрібно прикласти до менешого поршня.

Answer 1

Ответ:

2.5кН

Объяснение:

сила равна давление* площадь, так как давление жидкости в обоих цилиндрах пресса одинаковое, а площади отличаются в 100 раз, то сила на маленький поршень нужна в 100 раз меньше 250кН/100=2.5 кН

Answer 2

Using a Hydraulic Press to Lift a Load

To calculate the force needed to lift a load using a hydraulic press with cylinders of different sizes, we can apply Pascal's law, which states that pressure exerted anywhere in a confined incompressible fluid is transmitted equally in all directions throughout the fluid.

Pascal's law: According to Pascal's law, the pressure applied to a fluid in a closed system will be transmitted equally in all directions.

To calculate the force needed to lift the load, we can use the formula:

Force = Pressure × Area

Where: - Force is the force needed to lift the load (in this case, 250 kN) - Pressure is the pressure applied to the fluid - Area is the cross-sectional area of the smaller piston

Calculating the Force

Given that the cylinders have a 100-fold difference in area, we can use the ratio of the areas to determine the force required.

The formula for the force ratio is:

Force Ratio = Area of Larger Cylinder / Area of Smaller Cylinder

Given that the area is related to the square of the radius, the force ratio can be calculated as:

Force Ratio = (Radius of Larger Cylinder / Radius of Smaller Cylinder)^2

Applying the Formula

Let's assume the larger cylinder has a radius of R and the smaller cylinder has a radius of r. We can use the given force of 250 kN to calculate the force needed to be applied to the smaller piston.

Using the force ratio formula, we can calculate the force needed to be applied to the smaller piston.

I will now calculate the force needed and provide the answer.