Emma L.

asked • 11/20/20

Compute the speed of the air flowing into the room (in ft/s), assuming that we can treat the air as an incompressible fluid.

Air flows through a heating duct with a square cross-section with 6-inch sides at a speed of 5.9 ft/s. Just before reaching an outlet in the floor of a room, the duct widens to assume a square cross-section with sides equal to 13 inches. Compute the speed of the air flowing into the room (in ft/s), assuming that we can treat the air as an incompressible fluid.


Joshua O.

A1 - 6 in X 6 in V1 - 5.9 ft/s A2 - 13 in X 13 in A1 V1 = A2 V2 - > V2 = (A1/A2) X V1 V2= (36/169) X 5.9 --- > 0.2130177515 X 5.9 --- > 1.2568047339 approximately 1.26 ft/s
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04/09/22

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Glenn P. answered • 11/20/20

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Flow rate is constant. so Q1=Q2 also Q we are given info about Area1 and Area2 as well as v1 (initial velocity). When we blow out of our mouths we make a small area so the air comes out faster. If we open our mouths wider what happens to the velocity?

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