Question

Which statement most accurately describes the continuity equation?
A.
The volume of water flowing through a section of a pipe varies inversely with its pressure.
B.
The volume of water flowing through a section of a pipe varies directly with the speed of water flow.
C.
The volume of water flowing through a section of a pipe varies inversely with the speed of water flow.
D.
The area of a pipe’s cross section varies inversely with the speed of water flow.
E.
The area of a pipe’s cross section varies directly with the speed of water flow.

Answer 1

Answer:

The correct option is;

The area of a pipe's cross section varies inversely with the speed of water flow

Explanation:

A continuity equation is an equation that shows the behavior of a quantity as it moves or is transported from one point or state to another

Therefore, the continuity equation is highly effective when the quantity being considered is conserved and from which bases generalization of the principle of the motion of the quantity can be generalized

Therefore, for the relationship between a pipe's cross section and the speed of water flow, we have;

A ∝ 1/v

Therefore, we have A₁·v₁ = A₂·v₂, which is a continuity equation.

Answer 2

Answer:

The answer is D.

Explanation:

The continuity equation states that the speed of water flow varies inversely with the area of a pipe’s cross section; that is, if the pipe narrows, the speed of water flow increases, and vice-versa.  From Plato's tutorial