Physics, asked by agamvirs148gmailcom, 1 year ago

A force of 50 kgf is applied to the smaller piston of a hydraulic machine. Neglecting friction, find the force exerted on the large piston, if the diameters of the pistons are 5 cm and 25cm respectively.

Answers

Answered by jasrotiavishav661
11

Answer:

We know that Pressure on both the Piston should be same,

∴Pressure on smaller Piston=Pressure on larger Piston

Area of smaller

Force on smaller

=

Area of larger

Force on larger

∴ Force on Larger=

Area of smaller

Force on smaller

×Area of larger

2.5×2.5×3.14

50

×12.5×12.5×3.14=1250kgf

Answered by Anonymous
4

Ratio of diameter of smaller piston to bigger piston = 5:25

.•. Ratio of area of smaller piston to bigger piston = 25:625

Force applied on smaller piston, F1 = 50kgf

Let F2 be the force on the bigger piston.

By the principle of hydraulic machine,

Pressure on narrow piston = Pressure on wider piston

 \frac{F1}{A1}  =  \frac{F2}{A2}  \\  \\  \implies \:   \frac{F1}{F2}  =  \frac{A1}{A2}  \\  \\  \implies \:  \frac{50}{F2}  =  \frac{25}{625}  \\  \\  \implies \: F2 \:  =  \:  \cancel{50}  \:  \: ²\times  \frac{625}{ \cancel{25} } \\  \\  \ = 1250 \: kgf \:  \:  \:  \:  \: (ans)

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