Ask Question
31 July, 16:56

A fuel pump sends gasoline from a car's fuel tank to the engine at a rate of 5.64 10-2 kg/s. the density of the gasoline is 735 kg/m3, and the radius of the fuel line is 3.43 10-3 m. what is the speed at which the gasoline moves through the fuel line?

+2
Answers (1)
  1. 31 July, 20:34
    0
    Given:

    Gasoline pumping rate, R = 5.64 x 10⁻² kg/s

    Density of gasoline, D = 735 kg/m³

    Radius of fuel line, r = 3.43 x 10⁻³ m

    Calculate the cross sectional area of the fuel line.

    A = πr² = π (3.43 x 10⁻³ m) ² = 3.6961 x 10⁻⁵ m²

    Let v = speed of pumping the gasoline, m/s

    Then the mass flow rate is

    M = AvD = (3.6961 x 10⁻⁵ m²) * (v m/s) * (735 kg/m³) = 0.027166v kg/s

    The gasoline pumping rate is given as 5.64 x 10⁻² kg/s, therefore

    0.027166v = 0.0564

    v = 2.076 m/s

    Answer: 2.076 m/s

    The gasoline moves through the fuel line at 2.076 m/s.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A fuel pump sends gasoline from a car's fuel tank to the engine at a rate of 5.64 10-2 kg/s. the density of the gasoline is 735 kg/m3, and ...” in 📙 Physics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers