Question

Площадь малого поршня гидравлического пресса 5 см2 а большого 200 см2. На сколько поднимется большой поршень если малый поршень опуститься на 8 см

Answer 1

Ответ:

S1=4 см² S2=500 см² v1=25 см/с v2=?

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Объёмы жидкости перетекающие из 1 во 2 цилиндры одинаковые за одно и то же время.

V1/t=V2/t

V1=S1*h1 V2=S2*h2 (h1 и h2 высоты, на которые опускается 1 и поднимается 2 поршни)

Скорость 1 поршня v1=h1/t а скорость v2=h2/t

Тогда S1*v1=S2*v2

v2=S1*v1/S2=4*25/500=0.2 см/с

Answer 2

Calculating the Movement of the Large Piston in a Hydraulic Press

To calculate the movement of the large piston when the small piston is pushed down, we can use the formula for hydraulic press movement, which is based on the principle of Pascal's law.

Pascal's law states that when there is an increase in pressure at any point in a confined fluid, there is an equal increase at every other point in the container.

Formula for Hydraulic Press Movement

The formula for calculating the movement of the large piston when the small piston is pushed down is:

F1/A1 = F2/A2

Where: - F1 = Force applied on 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

Given: - Area of the small piston (A1) = 5 cm^2 - Area of the large piston (A2) = 200 cm^2 - Movement of the small piston = 8 cm

We can calculate the movement of the large piston using the formula.

Calculation

First, we need to find the force exerted by the small piston on the fluid. We can do this by multiplying the pressure by the area of the small piston.

Pressure (P) = Force (F1) / Area (A1)

Given that the pressure is transmitted equally in all directions, the pressure exerted by the small piston will be the same as the pressure exerted by the large piston.

Force (F1) = Pressure (P) * Area (A1)

Now, we can use the calculated force to find the movement of the large piston.

Movement of the large piston (d2) = (Force (F1) / Area (A2)) * Movement of the small piston

Result

By applying the above formula, we can calculate the movement of the large piston when the small piston is pushed down by 8 cm.

Please note that the exact numerical value for the movement of the large piston can be calculated using the provided formula and the given values for the areas and the movement of the small piston.