Question

4. В гидравлической машине на малый поршень площадью 3,5 см2 действует сила 140 Н. Какова площадь большого поршня, если на него действу¬ет сила 2800 Н?

Answer 1

Ответ:

Ответ дан на фото........

Answer 2

Calculation of the Area of the Large Piston

To calculate the area of the large piston, we can use the principle of Pascal's law, which states that the pressure exerted on a fluid in a closed system is transmitted equally in all directions.

According to the problem statement, the small piston has an area of 3.5 cm² and is subjected to a force of 140 N. We can calculate the pressure exerted on the small piston using the formula:

Pressure = Force / Area

Substituting the given values, we have:

Pressure on small piston = 140 N / 3.5 cm²

Now, since the pressure is transmitted equally in all directions, the pressure on the large piston will be the same. We can use this pressure to calculate the area of the large piston using the formula:

Area = Force / Pressure

Substituting the given force of 2800 N and the calculated pressure, we have:

Area of the large piston = 2800 N / (140 N / 3.5 cm²)

Now, let's calculate the area of the large piston.

Calculation:

Pressure on small piston = 140 N / 3.5 cm² = 40 N/cm²

Area of the large piston = 2800 N / (40 N/cm²) = 70 cm²

Therefore, the area of the large piston is 70 cm².

Please note that the calculations are based on the given information and the assumption that the pressure is transmitted equally in all directions according to Pascal's law.