It takes 2.0 minutes to fill a gas tank with 60 liters of gasoline.If the pump nozzle is 1.0 cm in radius,what is the average speed of the gasoline as it leaves the nozzle? (1000 liters = one cubic meter)
A) 0.27 m/s
B) 1.1 m/s
C) 1.6 m/s
D) 64 m/s

Question

Quizplus · Accepted Answer

First, we need to convert the liters to cubic meters:

60 L = 0.06 m^3

We can use the formula for the volume flow rate of a liquid through a pipe:

Q = (pi*r^2)*v

Where Q is the volume flow rate, r is the radius of the pipe, and v is the average speed of the liquid.

We know that the tank is filled in 2.0 minutes, or 120 seconds. Therefore,

Q = 0.06 m^3 / 120 s = 5.0 x 10^-4 m^3/s

The radius of the nozzle is 1.0 cm, or 0.01 m. Plugging in the values:

5.0 x 10^-4 m^3/s = (pi*(0.01 m)^2)*v

Solving for v:

v = 1.6 m/s

Therefore, the average speed of the gasoline as it leaves the nozzle is 1.6 m/s. The correct choice is C.

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