Question

Water flows through a fire hose of diameter 6.40 cm at a speed of 5.9 m/s. Find the flow rate of the fire hose in L/min?

(The Answer is 1,140 L/min) i need help solving it.)

Answer 1

I got the same `1140L/min`

Explanation:

I would use the fact that the flow rate `R` is related to the cross cectional area and velocity as:
`R=Av`
considering a velocity `v=5.9m/s=590(cm)/s`
and a cross sectional area of:
`A=pi*(d/2)^2=pi(6.40/2)^2=32.17cm^2`
we get:
`R=590*32.17=18980.3(cm^3)/s`
we need to convert it ito `L/min`
We know that:
`1L=1000cm^3`
and
`1min=60sec`
so we get:
`R=(18980.3/10000)/(1/60)=1138.8~~1140L/min`