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Answer :
Final answer:
To calculate the force F2 created at each wheel cylinder in a hydraulic system, apply Pascal's Principle to determine that pressure in the system is constant and use the formula № = F/A, considering the areas of the master and slave cylinders.
Explanation:
The question asks to calculate the force F2 created at each of the wheel cylinders or slave cylinders when a force is applied to a brake pedal in a hydraulic system. Using Pascal's Principle, we can deduce that the pressure exerted on the master cylinder will be equal throughout the hydraulic fluid and therefore apply the same pressure onto the slave cylinders. The pressure can be found through the formula № = F/A, where F is the force applied, and A is the cross-sectional area of the master cylinder.
The force is given as 500 N, and the area can be calculated using the diameter of the master cylinder, which is 0.5 cm, hence a radius of 0.25 cm. Area A1 is πr², so the pressure in the master cylinder can be calculated, and then this pressure can be used to find the force F2 in the slave cylinders with a diameter of 2.5 cm, using the same pressure but a larger area A2.
By calculating the ratio of the areas and using that to scale the force appropriately, we can find F2 for each slave cylinder. Please note that the actual calculation steps with numerical values have been omitted here, and should be carried out to get the exact force value.
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