Determine the discharge of a river that is 10 m wide, has a semicircular cross-sectional area, and has a velocity of 3 m/s.

Respuesta :

Answer:

117.8 m³/s

Explanation:

given that

the diameter of the river, d = 10 m wide

Velocity of flow of water, v, = 3 m/s

To get the discharge of a river, we have to find the area of the said river first.

Area of the river, a = area of semi circle = 1/2 * area of a circle

Area = 1/2 * πr²

Area = 1/2 * 3.142 * 5²

Area = 39.275 m²

Discharge of the river therefore is

Discharge, q = A * V, where

A is area of the river, and

V is the velocity of flow of the river.

Discharge, q = 39.275 * 3

Discharge, q = 117.825

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