हिंदी

The areas of pistons in a hydraulic machine are 5 cm2 and 625 cm2. What force on the smaller piston will support a load of 1250 N on the larger piston?

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प्रश्न

The areas of pistons in a hydraulic machine are 5 cm2 and 625 cm2. What force on the smaller piston will support a load of 1250 N on the larger piston? State any assumption which you make in your calculation.

योग
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उत्तर

Area of small piston A1 = 5 cm2

Area of wider piston, A2 = 625 cm2

Force on small piston be F1

Force on wider piston or load, F2 = 1250 N

By the principle of hydraulic machine,

Pressure on narrow piston = pressure on wider piston

or, `F_1/A_1 = F_2/A_2`

or, `F_1/5 = 1250/625`

or, `F_1 = 1250/625 xx 5`

or `F_1 = 10` N

Assumption: No friction or leakage of liquid happens.

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