Water is flowing in a drainage channel of rectangular cross-section. The width of the channel is 15 m, the depth of water is 8.0 m, and the speed of the flow is 2.5 m/s. What is the flow rate in kg/s?

2.0 · 105 kg/s
2.0 · 103 kg/s
3.0 · 105 kg/s
3.0 · 103 kg/s
3.0 · 102 kg/s

Respuesta :

To solve this problem we will use the concepts related to the flow rate, which describes the volumetric amount of a fluid that travels a point in a given time. Mathematically it can be expressed as

Q = AV

Where

A= Area

V = Volume

Our values are given as

[tex]A = 15*8 = 120m^2[/tex]

V = 2.5m/s

Replacing we have to

[tex]Q = 120*2.5[/tex]

[tex]Q = 300m^3/s[/tex]

At this point we know that 1 m ^ 3 of water is equivalent to 1000Kg (Its value in density at normal conditions)

[tex]Q = 300\frac{m^3}{s} (\frac{1000kg}{1m^3})[/tex]

[tex]Q= 3*10^5kg/s[/tex]

Q&A Education