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In a hydraulic lift, the input piston had surface area 30 cm2 and the output piston has surface area of 1500 cm2. If a force of 25 N is applied to the input piston, calculate weight/force on output

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Question

In a hydraulic lift, the input piston had surface area 30 cm2 and the output piston has surface area of 1500 cm2. If a force of 25 N is applied to the input piston, calculate weight/force on output piston.

Numerical
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Solution

Given:

A1 = 30 cm2 = 3 × 10−3 m2

A2 = 1500 cm2 = 0.15 m2,

F1 = 25 N

To find:

Weight on output piston.

Solution:

Using Pascal's law,

`"F"_1/"A"_1="F"_2/"A"_2`

∴ The force on the output piston,

F2 = `("F"_1 "A"_2)/"A"_1=(25 xx 0.15)/(3xx10^-3)`

= 25 × 50

= 1250 N

∴ The weight/force on the output piston is 1250 N.

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Chapter 2: Mechanical Properties of Fluids - Exercises [Page 55]

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Balbharati Physics [English] Standard 12 Maharashtra State Board
Chapter 2 Mechanical Properties of Fluids
Exercises | Q 11 | Page 55

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