A dentist's chair with a patient in it weighs 2260 N. The output plunger of a hydraulic system begins to lift the chair when the dentist's foot applies a force of 61 N to the input piston. Neglect any height difference between the plunger and the piston. What is the ratio of the radius of the plunger to the radius of the piston?

rplunger / rpiston =

asked by Howie

13 years ago

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1 answer

F2/F1 = S2/S1 =πR^2/πr^2= (R/r)^2
R/r =sqrt(F2/F1)

answered by Elena

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Question

A dentist's chair with a patient in it weighs 2260 N. The output plunger of a hydraulic system begins to lift the chair when the dentist's foot applies a force of 61 N to the input piston. Neglect any height difference between the plunger and the piston. What is the ratio of the radius of the plunger to the radius of the piston?
rplunger / rpiston =

Elena · Answer

F2/F1 = S2/S1 =πR^2/πr^2= (R/r)^2 R/r =sqrt(F2/F1)