Q2) The figure below represents a hydraulic car jack has an output cylinder 30 cm in diameter and an input cylinder 5 cm in diameter and is filled with oil of density 900 kg/m 3. An automobile of mass 1200 kg needs to be elevated 35 cm. (a) How far does the piston of the input cylinder need to move? (b) What is the magnitude of the force on the input piston required to keep the car elevated? Input end 4,d, = A,d, Output end up by a distance h, area A, mass M initial initial position position area A, h down by a- Points (a) and (b) are at the (a) (b) distance h, same level. fluid of density Pr

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Chapter14: Fluid Mechanics
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Problem 14.75AP
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Q2) The figure below represents a hydraulic car jack has an output cylinder
30 cm in diameter and an input cylinder 5 cm in diameter and is filled with oil
of density 900 kg/m 3. An automobile of mass 1200 kg needs to be elevated
35 cm.
(a) How far does the piston of the input cylinder need to move?
(b) What is the magnitude of the force on the input piston required to keep the
car elevated?
Input end 4,d, = A,d, Output end
up by a
distance h,
area A,
mass M
initial
initial
position
area A,
position
Points (a) and
(b) are at the
same level.
down by a-
(a)
(b)
distance h,
fluid of density Pr
Transcribed Image Text:Q2) The figure below represents a hydraulic car jack has an output cylinder 30 cm in diameter and an input cylinder 5 cm in diameter and is filled with oil of density 900 kg/m 3. An automobile of mass 1200 kg needs to be elevated 35 cm. (a) How far does the piston of the input cylinder need to move? (b) What is the magnitude of the force on the input piston required to keep the car elevated? Input end 4,d, = A,d, Output end up by a distance h, area A, mass M initial initial position area A, position Points (a) and (b) are at the same level. down by a- (a) (b) distance h, fluid of density Pr
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