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In the hydraulic press used in a trash compactor, the radii of the input piston and the output plunger are 6.2 ✕ 10-3 m and 5.1 ✕ 10-2 m, respectively. If the height difference between the input piston and the output plunger can be neglected, what force is applied to the trash when the input force is 380 N.

Question

In the hydraulic press used in a trash compactor, the radii of the input piston and the output plunger are 6.2 ✕ 10-3 m and 5.1 ✕ 10-2 m, respectively. If the height difference between the input piston and the output plunger can be neglected, what force is applied to the trash when the input force is 380 N.

check_circleAnswer
Step 1

Given,

Area of input piston, a = 6.2 x 10 m2
Area of output plunger, A-5.1x 102m2
Input force, F 380N
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Area of input piston, a = 6.2 x 10 m2 Area of output plunger, A-5.1x 102m2 Input force, F 380N

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Step 2

Pascale’s principle: A change in pressure at any point in an enclosed fluid at rest is transmitted undiminished to all points in the fluid.

Applying Pascale’s principle in hydraulic lift, pressure on the wall of plunger is equal to the pressure on the wall of piston.

= P.
piston
plunger
Force
Pressure
area
F F
A
where, F is the output force
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= P. piston plunger Force Pressure area F F A where, F is the output force

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Step 3

Rearrange and substitute the given va...

A
F F
(5.1x10 m2
(380N6.2x10m2)
3125.8N
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A F F (5.1x10 m2 (380N6.2x10m2) 3125.8N

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