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27 Dec 2021
Given information
The radius of the air duct is .
The dimension of the room is .
Step-by-step explanation
Step 1.
The volume of the room is
Here, is the volume, is the length, is the width and is the height.
The area of the air duct is
Here, is the area and is the radius.
According to the equation of continuity, the product of the area of the pipe through which a fluid is flowing and its velocity is a constant.
The formula from the equation of continuity is
Here, is the velocity and is the time.
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