How can this be solved when a piston diameters are D1=10cm and D2=4cm. When the pressure chamber 2 is 2000kPa and the pressure chamber 3is 700kPa, what is the pressure in chamber 1, in kPa ?
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1 Pa = 1 N/m^2
First you want to change your units into m and Pa so,
D1 = 0.1 m; D2 = 0.04 m
P2 = 2,000,000 Pa; P3 = 700,000 Pa
Now you want to find the area of the cross sections, so
A1 = pi*(0.1/2)^2
A2 = pi*(0.04/2)^2
Now to find P1, we want to do force balance, so we need to find the forces,
F1 = P1*A1 (up)
F2 = P2*A2 (down)
F3 = P3*(A1-A2) (down)
F1 = F2 + F3 --> P1*A1 = P2*A2 + P3*(A1-A2)
First you want to change your units into m and Pa so,
D1 = 0.1 m; D2 = 0.04 m
P2 = 2,000,000 Pa; P3 = 700,000 Pa
Now you want to find the area of the cross sections, so
A1 = pi*(0.1/2)^2
A2 = pi*(0.04/2)^2
Now to find P1, we want to do force balance, so we need to find the forces,
F1 = P1*A1 (up)
F2 = P2*A2 (down)
F3 = P3*(A1-A2) (down)
F1 = F2 + F3 --> P1*A1 = P2*A2 + P3*(A1-A2)
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