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24 July, 21:30

A fuel pump sends gasoline from a car's fuel tank to the engine at a rate of 5.37x10-2 kg/s. The density of the gasoline is 739 kg/m3, and the radius of the fuel line is 3.37x10-3 m. What is the speed at which gasoline moves through the fuel line

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  1. 24 July, 22:33
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    Speed v = 2.04 m/s

    the speed at which gasoline moves through the fuel line is 2.04 m/s

    Explanation:

    Given;

    Mass transfer rate m = 5.37x10^-2 kg/s.

    Density d = 739 kg/m3

    radius of pipe r = 3.37x10^-3 m

    We know that;

    Density = mass/volume

    Volume = mass/density

    Volumetric flow rate V = mass transfer rate/density

    V = m/d

    V = 5.37x10^-2 kg/s : 739 kg/m3

    V = 0.00007266576454 m^3/s

    V = 7.267 * 10^-5 m^3/s

    V = cross sectional area * speed

    V = Av

    Area A = πr^2

    V = πr^2 * v

    v = V/πr^2

    Substituting the given values;

    v = 7.267 * 10^-5 m^3/s / (π * (3.37x10^-3 m) ^2))

    v = 0.203678639672 * 10 m/s

    v = 2.04 m/s

    the speed at which gasoline moves through the fuel line is 2.04 m/s
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