Final answer:
The force F2 created at each of the wheel cylinders can be calculated using Pascal's principle. At pressures of 1800 psi and 3000 psi, you would get approximately 5 brake applications and 10 brake applications respectively.
Step-by-step explanation:
The force F2 created at each of the wheel cylinders can be calculated using Pascal's principle. According to Pascal's principle, the pressure is transmitted equally throughout a fluid.Given that the force applied on the pedal cylinder is 500 N, and the pedal cylinder has a diameter of 0.500 cm, we can calculate the area of the pedal cylinder using the formula A = πr^2. Thus, the area (A1) of the pedal cylinder is approximately 0.196 cm2.
Since the pressure is transmitted equally, the pressure at the wheel cylinders can be calculated using the formula P = F/A, where F is the force and A is the area of the cylinder. Using the areas of the pedal cylinder (A1) and each wheel cylinder (A2), which has a diameter of 2.50 cm, we can calculate the force on each wheel cylinder (F2) using the formula F2 = P * A2.
Calculating the force F2 on each wheel cylinder: For the 1800 psi pressure (approximately 124.11 kg/cm2), the force F2 is approximately 243.82 N. For the 3000 psi pressure (approximately 207.18 kg/cm2), the force F2 is approximately 405.49 N. Therefore, at pressures of 1800 psi and 3000 psi, you would get approximately 5 brake applications and 10 brake applications respectively.