AP Free Response Question
2007 Form B - B4
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A cylindrical tank containing water of density 1000 kg/m
^{3}
is filled to a height of 0.70 meters and placed on a stand as shown in the cross section above. A hole of radius 0.0010 meters in the bottom of the tank is opened. Water then flows through the hole and through an opening in the stand and is collected in a tray 0.30 meters below the hole. At the same time, water is added to the tank at an appropriate rate so that the water level in the tank remains constant.
(a) Calculate the speed at which the water flows out from the hole.
(b) Calculate the volume rate at which water flows out from the hole.
(c) Calculate the volume of water collected in the tray in t = 2.0 minutes.
(d) Calculate the time it takes for a given droplet of water to fall 0.25 m from the hole.
Topic Formulas
Description
Published Formula
actual pressure in a fluid
Bernoulli's Equation
buoyancy
Continuity Equation
mass density
pressure
uniform acceleration - displacement and instantaneous velocity
uniform acceleration - instantaneous position
uniform acceleration - instantaneous velocity
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Freefall
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Gases
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Non-Accelerated and Accelerated Motion
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Syringes and Vacuum Pumps
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Tossed Ball
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Pinched Bottle
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CB-ETS
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