Afuel 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?

The speed is

Explanation:

We have the data of the gasoline pumping rate.

The gasoline pumping rate indicates the amount of gasoline per unit of time that the fuel pump sends to the car's fuel tank. We indicate the gasoline pumping rate with

Its units are which are units of mass over time

The density of the gasoline is

The density is equal to

If we divide the GPR by the density we obtain :

Where is the volume flow rate (VFR) :

The VFR is equal to area per speed.

The area (A) is equal to given that the fuel line is circular.

Now we have the VFR and A. The final step is to calculate the speed (S) :

The speed of the gasoline is

c) up

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