A certain hydraulic system is designed to exert a force 100 times as large as th
ID: 2252699 • Letter: A
Question
A certain hydraulic system is designed to exert a force 100 times as large as the one put into it. (a) What must be the ratio of the area of the slave cylinder to the area of the master cylinder? (b) What must be the ratio of their diameters? (c) By what factor is the distance through which the output force moves reduced relative to the distance through which the input force moves? Assume no losses to friction.
A certain hydraulic system is designed to exert a force 100 times as large as the one put into it. (a) What must be the ratio of the area of the slave cylinder to the area of the master cylinder? (b) What must be the ratio of their diameters? (c) By what factor is the distance through which the output force moves reduced relative to the distance through which the input force moves? Assume no losses to friction.Explanation / Answer
As/Am = Fs / Fm = 100 / 1
= 100
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As / Am = pi(ds/2)^2 / pi(dm/2)^2 = ds^2 / dm^2
ds / dm = sqrt 100
= 10
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