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A portion of a horizontal pipe at a soft drink bottling plant is shown below. The pipe carries citric acid, with a density of p = 1650 kg/m³. location 1 location 2 The height of the pipe does not change, but the cross-sectional area of the pipe increases from A1 At location 2, the speed of the fluid is v₂ = 2.80 m/s and the pressure is p₂ = 1.48 × 105 Pa. (a) Based on the information in the figure, how are the fluid speeds V₁ and V2 related? ○ V1 < V2 ○ V1 > V2 ○ V1 = V2 = 4.00 cm² to A₂ = 8.70 cm². (b) Consider the fluid pressure in the pipe. Select ALL of the following statements that are true. If the fluid slows down between locations 1 and 2, the net force on the fluid must point to the left, toward location 1. ☐ If the fluid slows down between locations 1 and 2, the fluid pressure at location 2 must be greater than the fluid pressure at location 1. ☐ The net force on the fluid points away from greater fluid pressure and toward smaller fluid pressure. Bernouilli's equation says that if V₁ > V2 and y₁ = y2, then P1 < P2- Bernouilli's equation says that if V₁ > V2 and y1 y2, then P1 > P2. (c) What is the speed of the fluid at location 1? NOTE: It is OK to keep both areas in units of cm² when using the continuity equation. m/s V1 = (d) What is the fluid pressure at location 1? Enter your answer in units of kPa. P₁ = kPa (e) Compare the fluid pressure at locations 1 and 2. Do the pressure values agree with your predictions from Part (b)? O Yes! P1 P1 ○ No! My P1 > P₁ and I need to do an Ask Your Teacher or find a friendly TA.

A portion of a horizontal pipe at a soft drink bottling plant is shown below. The pipe carries citric acid, with a density of p = 1650 kg/m³. location 1 location 2 The height of the pipe does not change, but the cross-sectional area of the pipe increases from A1 At location 2, the speed of the fluid is v₂ = 2.80 m/s and the pressure is p₂ = 1.48 × 105 Pa. (a) Based on the information in the figure, how are the fluid speeds V₁ and V2 related? ○ V1 < V2 ○ V1 > V2 ○ V1 = V2 = 4.00 cm² to A₂ = 8.70 cm². (b) Consider the fluid pressure in the pipe. Select ALL of the following statements that are true. If the fluid slows down between locations 1 and 2, the net force on the fluid must point to the left, toward location 1. ☐ If the fluid slows down between locations 1 and 2, the fluid pressure at location 2 must be greater than the fluid pressure at location 1. ☐ The net force on the fluid points away from greater fluid pressure and toward smaller fluid pressure. Bernouilli's equation says that if V₁ > V2 and y₁ = y2, then P1 < P2- Bernouilli's equation says that if V₁ > V2 and y1 y2, then P1 > P2. (c) What is the speed of the fluid at location 1? NOTE: It is OK to keep both areas in units of cm² when using the continuity equation. m/s V1 = (d) What is the fluid pressure at location 1? Enter your answer in units of kPa. P₁ = kPa (e) Compare the fluid pressure at locations 1 and 2. Do the pressure values agree with your predictions from Part (b)? O Yes! P1 P1 ○ No! My P1 > P₁ and I need to do an Ask Your Teacher or find a friendly TA.

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter15: Fluids
Section: Chapter Questions
Problem 46PQ
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A portion of a horizontal pipe at a soft drink bottling plant is shown below. The pipe carries citric acid, with a density of p = 1650 kg/m³. location 1 location 2 The height of the pipe does not change, but the cross-sectional area of the pipe increases from A1 At location 2, the speed of the fluid is v₂ = 2.80 m/s and the pressure is p₂ = 1.48 × 105 Pa. (a) Based on the information in the figure, how are the fluid speeds V₁ and V2 related? ○ V1 < V2 ○ V1 > V2 ○ V1 = V2 = 4.00 cm² to A₂ = 8.70 cm². (b) Consider the fluid pressure in the pipe. Select ALL of the following statements that are true. If the fluid slows down between locations 1 and 2, the net force on the fluid must point to the left, toward location 1. ☐ If the fluid slows down between locations 1 and 2, the fluid pressure at location 2 must be greater than the fluid pressure at location 1. ☐ The net force on the fluid points away from greater fluid pressure and toward smaller fluid pressure. Bernouilli's equation says that if V₁ > V2 and y₁ = y2, then P1 < P2- Bernouilli's equation says that if V₁ > V2 and y1 y2, then P1 > P2. (c) What is the speed of the fluid at location 1? NOTE: It is OK to keep both areas in units of cm² when using the continuity equation. m/s V1 = (d) What is the fluid pressure at location 1? Enter your answer in units of kPa. P₁ = kPa (e) Compare the fluid pressure at locations 1 and 2. Do the pressure values agree with your predictions from Part (b)? O Yes! P1 P1 ○ No! My P1 > P₁ and I need to do an Ask Your Teacher or find a friendly TA.
Transcribed Image Text:A portion of a horizontal pipe at a soft drink bottling plant is shown below. The pipe carries citric acid, with a density of p = 1650 kg/m³. location 1 location 2 The height of the pipe does not change, but the cross-sectional area of the pipe increases from A1 At location 2, the speed of the fluid is v₂ = 2.80 m/s and the pressure is p₂ = 1.48 × 105 Pa. (a) Based on the information in the figure, how are the fluid speeds V₁ and V2 related? ○ V1 < V2 ○ V1 > V2 ○ V1 = V2 = 4.00 cm² to A₂ = 8.70 cm². (b) Consider the fluid pressure in the pipe. Select ALL of the following statements that are true. If the fluid slows down between locations 1 and 2, the net force on the fluid must point to the left, toward location 1. ☐ If the fluid slows down between locations 1 and 2, the fluid pressure at location 2 must be greater than the fluid pressure at location 1. ☐ The net force on the fluid points away from greater fluid pressure and toward smaller fluid pressure. Bernouilli's equation says that if V₁ > V2 and y₁ = y2, then P1 < P2- Bernouilli's equation says that if V₁ > V2 and y1 y2, then P1 > P2. (c) What is the speed of the fluid at location 1? NOTE: It is OK to keep both areas in units of cm² when using the continuity equation. m/s V1 = (d) What is the fluid pressure at location 1? Enter your answer in units of kPa. P₁ = kPa (e) Compare the fluid pressure at locations 1 and 2. Do the pressure values agree with your predictions from Part (b)? O Yes! P1 P1 ○ No! My P1 > P₁ and I need to do an Ask Your Teacher or find a friendly TA.
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