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(a) One pushes the brake pedal in a car with a hydraulic brake system and the car comes to a halt. How does figure 123.1 explain this observation?
(b) Name other scenarios where one observes Pascal's Principle in action.
The strings:
S7P3A32 (Force - Push).
The math:
Pj Problem of Interest is of type force (push). Pressure is force per unit area.
(a) Figure 123.1 illustrates Pascal's Principle which states that pressure applied to an enclosed liquid of any shape is transmitted evenly throughout.
Where pressure = Force/Area.
So the pressure exerted in the liquid in section A1 = F1/A1
So, F1/A1 = F2/A2. Since pressure is evenly transmitted.
So F2 = F1(A2/A1).
So F2 can be multiplied by manipulating the ratio (A2/A1).
In the case of hydraulic brakes, the brake pedal is connected to a piston smaller that the piston to which the brake pads are connected. The force from the push on the brake pedal is transmitted in a brake fluid to the larger piston connected to the brake pads. The increased force at the brake pad slows the tires down.
(b) Pascal's Principle is in action wherever hydraulic devices are in use. hydraulic chairs in barbers' shops, auto lifts, rescue ladders are some common examples of hydraulic devices.
Some living organisms such as the sea anemone and earthworm have natural hydraulic devices. The goal is always to multiply force.
The point . is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.
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