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Water is flowing in a pipe as depicted in the figure. As shown, p = 117 kPa, d = 4.67 cm, d' = 3.06 cm, v = 4.36 m/s, and h = 1.11 m. What pressure is indicated on the upper pressure gauge? Take y = 0 at the bottom of the left pipe so that the center of the left pipe is y1 = d/2.

  • physics - ,

    Without the figure, I have no idea what the two diameters are, nor where the uppoer pressure gauge is located.

    Use the continuity equation
    V+d^2 = constant
    to relate velocity to pipe diamter.

    Then use the Bernoulli equation

    (1/2)*(rho)^V^2 + P +(rho)*g*h = 0

    to relate pressure (P) to velocity and height. rho is the density of water.

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