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Consta COrrect 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 h, and hz in the two open-ended tubes (see figure). The cross-sectional area of the pipe is Aj at the position of and A, at the position of tube 2. 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 th 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 tube. tube 1. (Figure 1) 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, 9, and either A, and A2 or y, which is equal to Az Figure < 1 of 1 • View Available Hint(s) Tube 1 Tube 2 vị = The correct answer does not depend on: pgh2. No credit lost. Try again. A1 A2 Submit Previous Answers

Consta COrrect 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 h, and hz in the two open-ended tubes (see figure). The cross-sectional area of the pipe is Aj at the position of and A, at the position of tube 2. 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 th 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 tube. tube 1. (Figure 1) 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, 9, and either A, and A2 or y, which is equal to Az Figure < 1 of 1 • View Available Hint(s) Tube 1 Tube 2 vị = The correct answer does not depend on: pgh2. No credit lost. Try again. A1 A2 Submit Previous Answers

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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 Submit Previous Answers
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 Submit Previous Answers
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