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In the hydraulic system shown in the figure below the piston on the left has a d

ID: 1912728 • Letter: I

Question

In the hydraulic system shown in the figure below the piston on the left has a diameter of 4.9 cm and a mass of 1.7 kg. The piston on the right has a diameter of 12 cm and a mass of 3.7 kg. If the density of the fluid is 750 kg/m3, what is the height difference h between the two pistons? m

In the hydraulic system shown in the figure below the piston on the left has a diameter of 4.9 cm and a mass of 1.7 kg. The piston on the right has a diameter of 12 cm and a mass of 3.7 kg. If the density of the fluid is 750 kg/m3, what is the height difference h between the two pistons? m

Explanation / Answer

on the right side, the pressure at the point h distance below the weight is given by

pressure at the point of the weight +gh =p1

taking g=9.8m/s2

now since the pressure at the same height should be same,so

pressure on the left side at the weight = p1

1.7g/(d/2)2 =3.7g/(D/2)2 +750*g*h

=>901.36=327.11+750*h

=>574.25=750*h

=>h=.766

or h=76.6 cm ................ cheers!!

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