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A hydraulic lift has pistons with diameters 7.95 cm and 35.9 cm, respectively. If a force...

A hydraulic lift has pistons with diameters 7.95 cm and 35.9 cm, respectively. If a force of 825 N is exerted at the input piston, what maximum mass can be lifted at the output piston?

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Answer #1

Gravitational acceleration = g = 9.81 m/s2

Diameter of the input piston = D1 = 7.95 cm = 0.0795 m

Cross-sectional area of the input piston = A1 = D12/4

Force applied at the input piston = F = 825 N

Pressure in the input piston = P1 = F/A1

Diameter of the output piston = D2 = 35.9 cm = 0.359 m

Cross-sectional area of the output piston = A2 = D22/4

Maximum mass that can be lifted at the output piston = M

Weight of this mass = W = Mg

Pressure in the output piston = P2 = W/A2

The pressure in the input and output pistons are equal.

P1 = P2

M = 1714.9 kg

Maximum that can be lifted at the output piston = 1714.9 kg

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