Final answer:
A caliper in a disc brake system can contain multiple pistons, varying with the vehicle type and system design. In the context of hydraulic brakes using Pascal's Principle, pressure is transmitted from a single master cylinder to multiple wheel cylinders, where the force output F2 at each wheel cylinder is determined by hydraulic principles and the difference in cross-sectional areas.
Step-by-step explanation:
The caliper assembly in a disc brake system can contain multiple cylinder bores and pistons. However, the question seems to be related more to a hydraulic brake system that uses a master cylinder and wheel (slave) cylinders. In such systems, Pascal's Principle is applied, meaning that the pressure applied at the master cylinder is transmitted equally to the slave cylinders. Typically, a passenger vehicle will have one piston per caliper in the front and could have one or two in the rear, depending on the design. More complex systems or those in larger vehicles could have more. For instance, high-performance or heavy-duty vehicles may have six or even eight pistons per caliper.
In the example provided, where hydraulic brakes utilize Pascal's Principle, we see that a force of 100 N applied to the brake pedal is amplified to 500 N on the master cylinder, which then transmits this pressure to four wheel cylinders, each with a larger diameter. If we were to calculate the force F2 created at each of the wheel cylinders, we would need to know the cross-sectional area of both the master and wheel cylinders and use the principles of hydraulics to determine the force.
For the calculation, the area ratio would play a critical role. Since the diameters are given, the area of each wheel cylinder can be found by using the formula for the area of a circle (πr²). This calculation would show that the force at each wheel cylinder is greater than that at the master cylinder due to the larger area, in accordance with Pascal's Principle.