Calculate the discharge (in cubic meters/second) if a large stream's average velocity is 3 meters/second, its stage is 14 meters, and its width as measured bank-to-bank is 27 meters.

Respuesta :

Answer:

Explanation:

Given

average velocity of stream is [tex]v_{avg}=3\ m/s[/tex]

Stage of stream i.e. depth [tex]d=14\ m[/tex]

width of stream [tex]w=27\ m[/tex]

We know that discharge of a stream is given by

[tex]Q=A\cdot v[/tex]

where A=area of cross-section

v=average velocity

[tex]A=14\times 27\ m^2[/tex]

Therefore discharge is given by

[tex]Q=14\times 27\times 3[/tex]

[tex]Q=1134\ m^3/s[/tex]