The piston of a hydraulic press with an area of 360 cm2 acts with a force of 18 kN.
The piston of a hydraulic press with an area of 360 cm2 acts with a force of 18 kN. The area of the small piston is 45 cm2. With what force does the small piston act on the oil in the press?
Given:
n1 = 360 cm2 (square centimeters) is the area of the large piston of a hydraulic press;
n2 = 45 cm2 is the area of the small piston of the hydraulic press;
P1 = 18 kN is the force with which the large piston of the hydraulic press acts on.
It is required to determine P2 (Newton) – the force with which the piston of a small area acts on the oil.
Since the values will decrease among themselves, there is no need to convert the values to the SI system. Then, to determine the strength, you must use the following formula:
P1 / n1 = P2 / n2;
P2 = P1 * n2 / n1;
P2 = 18 * 45/360 = 810/360 = 2.25 kN = 2250 Newtons.
Answer: A small piston acts on oil in a hydraulic press with a force equal to 2250 Newtons.