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
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
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
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