Water, of density 1000 kg/m³, is flowing in a drainage channel of rectangular cross-section. The width of the channel is 15 m, the depth of the water is 8.0 m and the speed of the flow is 2.5 m/s. At what rate is water flowing in this channel? A) 2.0 × 10⁵ kg/s B) 2.0 × 10³ kg/s C) 3.0 × 10⁵ kg/s D) 3.0 × 10³ kg/s E) 3.0 × 10² kg/s

Question

Quizplus · Accepted Answer

The rate of water flowing through the channel can be found using the formula:

flow rate = area x velocity x density

The area of the cross-section can be found by multiplying the width by the depth:

area = 15 m x 8.0 m = 120 m^2

Substituting the given values,

flow rate = 120 m^2 x 2.5 m/s x 1000 kg/m^3 
= 300,000 kg/s

So the answer is (C) 3.0 x 10^15 kg/s.

Water, of Density 1000 Kg/m3, Is Flowing in a Drainage

Water, of Density 1000 Kg/m³, Is Flowing in a Drainage