A certain hydraulic system is designed to exert a force 100 times as large as th
ID: 2252701 • 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
we know that the pressure must be equal on both sides
so equatinf the pressure = F/A = constant
we get the ratio of the area that is equal to 100 :1
b] the ratio of their diameters must be eqaul yo = 10:1
c]the distance moved is in the inverse ratio of the area ratio so the ratio is 1:100
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.