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Transcribed Image Text:Constan
CorecL
A pair of vertical, open-ended glass tubes inserted into a
horizontal pipe are often used together to measure flow
velocity in the pipe, a configuration called a Venturi
meter. Consider such an arrangement with a horizontal
pipe carrying fluid of density p. The fluid rises to heights
hi and h2 in the two open-ended tubes (see figure). The
cross-sectional area of the pipe is A1 at the position of
tube 1, and A2 at the position of tube 2.
(Figure 1)
The fluid is pushed up tube 1 by the pressure of the fluid at the base of the tube, and not by its kinetic energy, since there is no
streamline around the sharp edge of the tube. Thus energy is not conserved (there is turbulence at the edge of the tube) at the
entrance of the tube. Since Bernoulli's law is essentially a statement of energy conservation, it must be applied separately to the
fluid in the tube and the fluid flowing in the main pipe. However, the pressure in the fluid is the same just inside and just outside t
tube.
Part B
Find v1, the speed of the fluid in the left end of the main pipe.
A1
Express your answer in terms of h1, h2, g, and either A1 and A2 or y, which is equal to
Az
Figure
1 of 1
>
• View Available Hint(s)
Α φ.
?
Tube 1
Tube 2
V1 =
h2
The correct answer does not depend on: pgh2.
No credit lost. Try again.
A1
A2
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