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Equation of Continuity-Three Fire Hoses and Pipes

  1. Jun 7, 2012 #1
    Equation of Continuity--Three Fire Hoses and Pipes

    1. The problem statement, all variables and given/known data

    Three fire hoses are connected to a fire hydrant. Each has a radius of 0.020 m. Water enters the hydrant through an underground pipe of radius 0.080 m. In the pipe the water has a speed of 3.0 m/s. How many kilograms of water are poured onto the fire in one hour? What's the water speed in each hose?

    2. Relevant equations

    A1 x V1 = A2 x V2
    m = V x rho
    I'm not really sure what other equations are relevant.

    3. The attempt at a solution

    I don't even know where to start. I need the volume...I think, and I'm very confused.
     
  2. jcsd
  3. Jun 8, 2012 #2
    Re: Equation of Continuity--Three Fire Hoses and Pipes

    You know the velocity of the water in the pipe feeding the hydrant. You have the formula for the volumetric flow in a pipe which is Q=A*V. What are the units of the equation? A formula for mass flow is m=rho*Q. And lastly, what enters the hydrant exits the hydrant assuming all the exits are being used. That is what is meant by 'continuity'.
     
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