AP Physics 2 : Flow Rate

Study concepts, example questions & explanations for AP Physics 2

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Example Questions

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Example Question #31 : Fluid Dynamics

A tank is completely full of water to the height of . On the side of the tank, at the very bottom a small hole is punctured. With what velocity does water flow though the hole at the bottom of the water tank?

Possible Answers:

Correct answer:

Explanation:

The equation for determining the velocity of fluid through a hole is as follows:

This equation is actually derived from Bernoulli's principle. The  is for velocity, the  is the acceleration due to gravity and  is the height. We solve for velocity by substituting for the values:

Example Question #32 : Fluid Dynamics

A syringe has a cross-sectional area of  and the needle attached to the syringe has a cross-sectional area of . The fluid in the syringe is pushed with a speed of , with what velocity does the fluid exit the needle opening?

Possible Answers:

Correct answer:

Explanation:

The correct answer is  because the cross-sectional area of the syringe is  times larger than the needle opening. Therefore, the velocity will be  larger as well. 

Example Question #33 : Fluid Dynamics

Pipe  has radius , and pipe  has radius . The two pipes are connected. In order for the speed of water in pipe  to be  times as great as the speed in pipe , what must be ?

Possible Answers:

Correct answer:

Explanation:

The continuity equation says that the cross sectional area of the pipe multiplied by velocity must be constant. Let  be the water speed in pipe .

Example Question #101 : Fluids

Physics pic

A fluid is forced through a pipe of changing cross sections as shown. In which section would the velocity of the fluid be a maximum?

Possible Answers:

I

IV

All sections have the same velocity

III

II

Correct answer:

II

Explanation:

Flow rate is equal to the product of cross-sectional area and velocity and must remain constant. Therefore, as the cross-sectional area decreases, the velocity increases.

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