Question

Действуя силой120 Н на малый поршень гидравлического пресса создают давления на больший поршень 1800 Н .во сколько раз площадь малого поршня меньше площади большого ?

Answer 1

1800/120=15 раз

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Answer 2

Calculation of the Ratio of Piston Areas

To determine the ratio of the piston areas, we can use the formula:

Pressure = Force / Area

Given that the force applied to the small piston is 120 N and the force applied to the large piston is 1800 N, we can set up the following equation:

Pressure on small piston = Pressure on large piston

Using the formula above, we can rewrite this equation as:

Force on small piston / Area of small piston = Force on large piston / Area of large piston

Substituting the given values, we have:

120 N / Area of small piston = 1800 N / Area of large piston

To find the ratio of the piston areas, we need to solve for the area of the small piston in terms of the area of the large piston.

Let's denote the area of the small piston as A1 and the area of the large piston as A2.

The equation becomes:

120 N / A1 = 1800 N / A2

To find the ratio of the piston areas, we can rearrange the equation as follows:

A1 / A2 = 1800 N / 120 N

Simplifying the right side of the equation:

A1 / A2 = 15

Therefore, the ratio of the area of the small piston to the area of the large piston is 15:1.

Please note that the specific values for the areas of the pistons were not provided in the question, so we cannot determine the exact sizes of the pistons. However, we can conclude that the area of the small piston is 15 times smaller than the area of the large piston based on the given forces.