Question

A fuel pump sends gasoline from a car's fuel tank to the engine at a rate of 6.55x10-2 kg/s. The density of the gasoline is 740 kg/m3, and the radius of the fuel line is 2.67x10-3 m. What is the speed at which gasoline moves through the fuel line?

Answer 1

speed = 3.95 m/s

Step-by-step explanation:

area = π x radius^2

area = π x (2.67 x 10^-3)^2

volume flow rate = area x speed

volume / time = area x speed

density = mass / volume

volume = mass / density

mass / (density x time) = area *speed

mass flow rate = mass / time

mass flow rate / density = area x speed

6.55 x 10^-2 / 740 = pi * (2.67 x 10^-3)^2 * speed

speed =8.8514 x 10-5 /2.2396 x 10-5 m/s

speed = 3.95 m/s