Calculate Diameter of Larger Piston Given 500N Force & 10cm^2 Area

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SUMMARY

The discussion focuses on calculating the diameter of a larger piston in a hydraulic lift system, given a force of 500 N applied to a smaller piston with an area of 10 cm². Using the principle of hydraulic systems, specifically the equation F₁/A₁ = F₂/A₂, participants concluded that the area of the larger piston can be derived from the known values. The relationship between pressure and area allows for straightforward calculations to determine the diameter once the area is established.

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Homework Statement


A hydraulic lift raises a 3000 kg car when 500 N force is applied to the smaller piston. If the smaller piston has an area of 10 〖cm〗^2, what is the diameter of the larger piston?


Homework Equations


p_1=p_2
F_1/A_1 =F_2/A_2
A_2=(F_2 A_1)/F_2
A=πr^2
r=d/2



The Attempt at a Solution


monkey/lightbulb=me from here
 
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Do you know what all of your relevant equations mean? You have more than enough to solve the problem. Specifically, look at F_1/A_1 =F_2/A_2. Let's say that A_2 is the area of the smaller piston, 10 cm^2. You're trying to find A_1, because after that, you can easily get the diameter. What's F_2, the force on the smaller piston? How about F_1, the force on the larger piston?
 
The basic rule for this type of question is that pressure is constant at the same level. I think if the height of water level is the same, then it is fairly straight forward.
 

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