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What is the difference between flow rate and fluid velocity, and how are they related?

a) Flow rate is volume per unit time; velocity is distance per unit time.
b) Flow rate is distance per unit time; velocity is volume per unit time.
c) Flow rate and velocity are the same.
d) Flow rate is proportional to velocity.

1 Answer

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Final answer:

Flow rate and velocity are related, but quite different, physical quantities. Flow rate measures the volume of fluid passing through a given point over time, while velocity measures the speed of the fluid at a specific point. The relationship between flow rate and velocity is that flow rate is directly proportional to velocity.

Step-by-step explanation:

Flow rate and velocity are related, but quite different, physical quantities. The flow rate is the volume of fluid passing a given location through an area during a period of time. It is measured in units like liters per minute or cubic meters per second. On the other hand, fluid velocity is the speed at which the fluid is moving at a specific point. It is measured in units like meters per second.

The relationship between flow rate and velocity can be stated as follows: Flow rate (Q) is equal to the cross-sectional area (A) multiplied by the average velocity (v). So, Q = Av. This means that the flow rate is directly proportional to the velocity. If the velocity increases, the flow rate also increases.

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