Three fire hoses are connected to a fire hydrant. Each hose has a radius of 0.014 m. Water enters the hydrant through an underground pipe of

Question

Three fire hoses are connected to a fire hydrant. Each hose has a radius of 0.014 m. Water enters the hydrant through an underground pipe of radius 0.089 m. In this pipe the water has a speed of 3.3 m/s. (a) How many kilograms of water are poured onto a fire in one hour by all three hoses

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Kiệt Gia 2 months 2021-07-30T00:49:40+00:00 1 Answers 3 views 0

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    2021-07-30T00:51:19+00:00

    Answer:

    Explanation:

    The total fluid mass can be obtained by multiplying the mass flow rate by the time flow rate.

    Mass flow rate is given as

    m = ρAv

    Where

    m is mass flow rate

    ρ is density

    A is area and it is given as πr²

    v is velocity

    Then,

    M = mt

    Where M is mass and t is time

    Them,

    M = ρAv × t

    M = ρ× πr² × v × t

    Given that, .

    Radius of pipe is

    r = 0.089m

    velocity of pipe is

    v = 3.3m/s

    Time taken is

    t = 1 hour = 3600 seconds

    Density of water is

    ρ = 1000kg/m³

    M = ρ× πr² × v × t

    M = 1000 × π × 0.089² × 3.3 × 3600

    M = 295,628.52 kg

    M = 2.96 × 10^5 kg

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