Calculating Air Speeds in a Venturi Tube Using Conservation of Fluid Mass

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Homework Statement



Air is blown through a circular and horizontal Venturi tube, as shown in the figure below. The diameters of the narrow and wider sections of the tube are given, and the height h of the mercury column is measured to be 1.00 mm. What are the air speeds in the wider and the narrower sections of the tube? The density of mercury is 13,600 kg/m3. (Assume the density of air is 1.29 kg/m3.)

http://www.webassign.net/hawkpse1/12-figure-058.gif

Homework Equations


P + 1/2pv^2 + pgh = constant

A1v1 = A2v2

The Attempt at a Solution



A1= pi*2.25e-4
A2= pi*2.5e-5
 
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What's the matter? Is your calculator broken? At least calculate the areas of the entrance and the exit of the venturi.