A horizontal water pipe goes from a large diameter to a small diameter and then back to the first diameter as shown in the figure below. The level of water in the small vertical tubes provides us with information about the water pressure in the two different sizes of pipe. The inside diameter of the larger pipe is 2.70 cm and water travels through both sizes of pipe with a volume flow rate of 2.10 x 10-4 m³/s. Determine the inside diameter of the smaller pipe. m 8.00 cm 4.00 cm

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Chapter1: Units, Trigonometry. And Vectors
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A horizontal water pipe transitions from a larger diameter to a smaller diameter and then returns to the original diameter, as illustrated in the figure. The water levels in the small vertical tubes indicate the pressure differences in the two pipe sections. The larger pipe has an inside diameter of 2.70 cm. Water flows through both sections with a volume flow rate of \(2.10 \times 10^{-4}\) m\(^3\)/s. The task is to determine the inside diameter of the smaller pipe.

**Diagram Explanation:**

- The diagram shows a horizontal pipe with varying diameters, and two vertical tubes are connected to measure water pressure.
- In the left section (larger diameter), the water level in the vertical tube is 8.00 cm.
- In the right section (smaller diameter), the water level in the vertical tube is 4.00 cm.
- An arrow indicates the direction of water flow through the pipe, transitioning from the larger to the smaller diameter and back again.
Transcribed Image Text:A horizontal water pipe transitions from a larger diameter to a smaller diameter and then returns to the original diameter, as illustrated in the figure. The water levels in the small vertical tubes indicate the pressure differences in the two pipe sections. The larger pipe has an inside diameter of 2.70 cm. Water flows through both sections with a volume flow rate of \(2.10 \times 10^{-4}\) m\(^3\)/s. The task is to determine the inside diameter of the smaller pipe. **Diagram Explanation:** - The diagram shows a horizontal pipe with varying diameters, and two vertical tubes are connected to measure water pressure. - In the left section (larger diameter), the water level in the vertical tube is 8.00 cm. - In the right section (smaller diameter), the water level in the vertical tube is 4.00 cm. - An arrow indicates the direction of water flow through the pipe, transitioning from the larger to the smaller diameter and back again.
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