Final Answer:
The statement simplifies to Q = A * V, where flowrate (Q) equals cross-sectional area (A) multiplied by velocity (V) in fluid dynamics calculations.
Step-by-step explanation:
Flowrate (Q) in cubic feet per second represents the volume of water passing through a conduit in a given time. This flowrate is determined by multiplying the Cross-Sectional Area (A) of the conduit (pipe) in square feet by the Velocity (V) of the water in feet per second.
The formula, Q = A * V, simplifies the relationship between these variables. The cross-sectional area of the conduit determines how much space the water occupies within the pipe, while the velocity indicates the speed at which the water is traveling within that space.
Multiplying these values together yields the flowrate, as the area and speed directly impact the volume of water passing through the conduit at any given moment.
This equation is fundamental in fluid dynamics, widely used in engineering and various fields involving fluid flow analysis, such as civil engineering for designing water supply systems, hydraulic engineering for channel and pipeline design, and environmental science for studying water movement in natural systems.
Understanding this relationship between flowrate, cross-sectional area, and velocity is crucial for designing efficient systems and predicting the behavior of fluids in various contexts.