It takes you 1 min to fill your car's fuel tank with 8.8 gallons of gasoline. What is the approximate average velocity of the gasoline leaving the 0.60-in.-diameter nozzle at this pump

Respuesta :

Answer:

v = 119 in/s

Explanation:

Given,

time to fill car's fuel = 1 min = 60 s

Fuel in the tank after 1 min = 8.8 gallons

diameter of pipe = 0.60 in

average velocity of the gasoline = ?

Now,

Discharge(Q)  = [tex]\dfrac{8.8 \times 231\ in^3}{60\ s}[/tex]

                  = [tex]33.88\ in^3/ft[/tex]

We know that

Q = Av

[tex]v = \dfrac{Q}{A}[/tex]

[tex]v = \dfrac{33.88}{\frac{\pi}{4}\times d^2}[/tex]

[tex]v = \dfrac{33.88}{\frac{\pi}{4}\times 0.6^2}[/tex]

v = 119 in/s

Average velocity of gasoline is equal to 119 in/s.