In a hydraulic-break system ,a force of 25N can be applied to a surface area of 25 cm² , What force can thus be exerted on each break cylinder having an area of 100 cm²
Answers
LEARNING OBJECTIVES
By the end of this section, you will be able to:
Define pressure.
State Pascal’s principle.
Understand applications of Pascal’s principle.
Derive relationships between forces in a hydraulic system.
Pressure is defined as force per unit area. Can pressure be increased in a fluid by pushing directly on the fluid? Yes, but it is much easier if the fluid is enclosed. The heart, for example, increases blood pressure by pushing directly on the blood in an enclosed system (valves closed in a chamber). If you try to push on a fluid in an open system, such as a river, the fluid flows away. An enclosed fluid cannot flow away, and so pressure is more easily increased by an applied force. What happens to a pressure in an enclosed fluid? Since atoms in a fluid are free to move about, they transmit the pressure to all parts of the fluid and to the walls of the container. Remarkably, the pressure is transmitted undiminished. This phenomenon is called Pascal’s principle, because it was first clearly stated by the French philosopher and scientist Blaise Pascal (1623–1662): A change in pressure applied to an enclosed fluid is transmitted undiminished to all portions of the fluid and to the walls of its container.
The force that can be exerted on a surface area in a hydraulic brake system is proportional to the surface area. The larger the surface area, the greater the force that can be exerted. In this case, with each brake cylinder having an area of 100 cm², a force of 100 N could be exerted on each cylinder.
In a hydraulic brake system, the force that can be applied to a surface area is proportional to the area on which the force is applied. This means that if you increase the surface area, you can also increase the force that can be exerted. If a force of 25 N can be applied to a surface area of 25 cm², then the same force could be exerted on an area of 100 cm² by dividing the surface area into four equal parts, each with an area of 25 cm².
However, the force that can be exerted on each brake cylinder with an area of 100 cm² will be four times greater than the force that could be exerted on an area of 25 cm². This means that a force of 100 N could be exerted on each brake cylinder, assuming the pressure applied remains constant.
For more such questions on force: https://brainly.in/question/19654957
#SPJ3