state pascal's law and explain the working of hydraulic lift?
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PASCAL LAW states that if Pressure is applied at a fixed point inside a closed container then this Pressure gets equally transmitted throughout the Liquid.
Let Pressure applied = P = F/a
Let two tubes C & D of Area ' a ' & ' A ' such that a < A having frictionless pistons
Let F1 be force on tube C
and F2 be force on tube D
When F1 is applied on Tube C of area ' a ' then this Causes Pressure P to distribute or transmit to Tube D of area ' A '
F1 = P.a
=>. P = F1/a -----( 1 )
By Pascal's Law this Pressure is constant
Also , F2 = P.A
Using equñ ( 1 )
F2 = F1/a × A
=> F2 = F1 × A/a
As we know a < A, so A/a will be Much Greater
=> F2 > F1
As F2 is A/a times F1
This proves that a small force on Piston with less area Can Exert A Much Much Greater force , enough to lift any LOAD.
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