Final answer:
To determine the system pressure needed to overcome the return springs in a drum brake unit, utilize Pascal's principle and the force multiplication of a hydraulic system. Calculations involve finding the area of the pedal and wheel cylinders and then using the force applied at the pedal cylinder to determine the resulting force at each wheel cylinder.
Step-by-step explanation:
The question pertains to the amount of system pressure required to overcome the return springs in a drum brake unit on an automobile. Utilizing Pascal's principle for hydraulic systems, we can determine the pressure and subsequent force needed at the wheel cylinders to overcome the resistance of the return springs in the braking system.
According to the information provided, a force of 100 N is applied to the brake pedal, which is then increased to 500 N at the pedal cylinder by a lever. This force acts on the pedal cylinder with a diameter of 0.500 cm, creating pressure that is transmitted to the four wheel cylinders, each with a diameter of 2.50 cm. To find the force created at each wheel cylinder (F2), we calculate the area of the pedal cylinder (A1) and the wheel cylinders (A2) and apply Pascal's principle to find the force using the relationship of the pressures and the areas of the two cylinders.
The detailed calculations would involve calculating the area of each cylinder based on its diameter, applying the force to find the pressure in the master cylinder, and then using the ratio of the areas to find the force exerted by each slave cylinder.