一个P 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 #101 :Fluids

一个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. Theis for velocity, theis the acceleration due to gravity andis the height. We solve for velocity by substituting for the values:

Example Question #22 :Flow Rate

一个syringe has a cross-sectional area ofand 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 isbecause the cross-sectional area of the syringe istimes larger than the needle opening. Therefore, the velocity will belarger as well.

Example Question #23 :Flow Rate

Pipehas radius, and pipehas radius. The two pipes are connected. In order for the speed of water in pipeto betimes 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. Letbe the water speed in pipe.

Example Question #24 :Flow Rate

Physics pic

一个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:

一个ll sections have the same velocity

III

I

IV

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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