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  • Fluid Dynamics in Pipes: Velocity and Height Formulas
    The speed of a fluid flowing through a pipe is given by the equation:

    $$v = Q / A$$

    Where:

    * $$v$$ is the velocity of the fluid (in meters per second),

    * $$Q$$ is the volumetric flow rate (in cubic meters per second) and

    * $$A$$ is the cross-sectional area of the pipe (in square meters).

    The height of the fluid in the pipe is given by the equation:

    $$h = P / \rho g$$

    Where:

    * $$h$$ is the height of the fluid (in meters),

    * $$P$$ is the pressure of the fluid (in pascals),

    * $$\rho$$ is the density of the fluid (in kilograms per cubic meters) and

    * $$g$$ is the acceleration due to gravity (in meters per second squared).

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