What force is applied on a piston of area of cross section 2 $c m^{2}$ to obtain a force 150 N on the piston of area of cross section 12 $c m^{2}$ in a hydraulic machine ?

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Solution

$I n space a space h y d r a u l l i c space m a c h i n e space p r e s s u r e space o n space n a r r o w space p i s t o n equals space P r e s s u r e space o n space w i d e r space p i s t o n P subscript 1 equals P subscript 2 F subscript 1 over A subscript 1 equals F subscript 2 over A subscript 2 fraction numerator F subscript 1 over denominator 2 cross times 10 to the power of negative 4 end exponent end fraction equals fraction numerator 150 over denominator 12 cross times 10 to the power of negative 4 end exponent end fraction F subscript 1 equals fraction numerator 150 over denominator 12 cross times 10 to the power of negative 4 end exponent end fraction cross times 2 cross times 10 to the power of negative 4 end exponent F subscript 1 equals 150 over 12 cross times 2 equals 25 space N$

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What force is applied on a piston of area of cross section 2 cm2 to obtain a force 150 N on the piston of area of cross section 12 cm2 in a hydraulic machine ?

What force is applied on a piston of area of cross section 2 $c m^{2}$ to obtain a force 150 N on the piston of area of cross section 12 $c m^{2}$ in a hydraulic machine ?