A container shown in the picture, consisting of two cylinders of radii r_1 = 0 1

Question

A container shown in the picture, consisting of two cylinders of radii r_1 = 0 10 m and r_2 = 0.08 m, respectively, is filled with water. The container is open to the atmosphere on the left hand side and sealed on the right hand side. Questions to consider: 1. What is the pressure at point A? 2. What is the pressure at point B? 3. What is the pressure at point C? Question to answer: What is the force (magnitude and direction) exerted by the water on the top of the right hand side of the container (on the area S_2 = pi r^2).

Explanation / Answer

1) PA = Patm + rho*g*h1

= 1.013*10^5 + 1000*9.8*0.3

= 1.0424*10^5 pa

2) PB = PA (using pascal's law)

= 1.0424*10^5

3) use PB = PC + rho*g*h2

==> PC = PB - rho*g*h2

= 1.0424*10^5 - 1000*9.8*0.15

= 1.0277*10^5 pa

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