Solving Viscosity Problems in an Auto Lift

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Homework Statement


An auto lift consists of a 55.56 cm diameter ram which slides concentrically in a 55.58 cm diameter
cylinder (see Figure 1). The cylinder engages a 2.8 m length of the ram at all times. The annular region
between the ram and cylinder is filled with viscous oil. The combined mass of the automobile, auto rack
and ram is 1750 kg. If the lift drops steadily at the speed of 0.25 m/s after being released, determine:
a) the viscosity of the oil, in Pa.s,
b) the shear stress at the surface of the inner cylinder.


Homework Equations



F=uA(v/y)
F=mg
t=u(du/dy)

The Attempt at a Solution



I can find the force which is the weight og ram+ram, also dy and dv. but i don't know how to find A. my friends told me that A = 2pi*2.8 put i don't think it was right because 2.8m is the length of the whole thing not diameter.
Please help me. I need to give my class a presentation about this and it counts as a test.
 
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What is the surface area of the cylinder? What is the surface area of the ram? Is the difference really significant?
 
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the surface of the cyclinder is 4.89m^2 and the surface area for the ram is also 4.89m^2. and no i don't see any huge differences between those values. and when i tried to find the viscosity it give me the value of 1.4kg/ms or 14 P. I don't know if mine is correct or not :( could you check for me please
 
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That's what I get.
 
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thank you very much !
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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