A liquid is flowing through a horizontal pipe whose radius is 0.0267 m. The pipe bends straight upward through a height of 14.0 m and joins another horizontal pipe whose radius is 0.0870 m. What volume flow rate will keep the pressures in the two horizontal pipes the same? Number 2r1 i V1 h ! Units 202 m^3/s <

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem Statement:**

A liquid is flowing through a horizontal pipe whose radius is 0.0267 m. The pipe bends straight upward through a height of 14.0 m and joins another horizontal pipe whose radius is 0.0870 m. What volume flow rate will keep the pressures in the two horizontal pipes the same?

**Diagram Explanation:**

The diagram illustrates a pipe system where:

1. The first horizontal pipe has a radius denoted as \( r_1 \). Its diameter is labeled \( 2r_1 \), and it shows a flow velocity \( v_1 \) in the horizontal direction.
2. The pipe bends vertically upward to a height \( h = 14.0 \, \text{m} \).
3. After ascending, the pipe connects to a second horizontal pipe with a radius \( r_2 \). Its diameter is represented as \( 2r_2 \), and it has a flow velocity \( v_2 \).

**Input Interface:**

- A field labeled "Number" is present for entering the calculated volume flow rate.
- Units are selectable, with the default set to cubic meters per second (m³/s).
Transcribed Image Text:**Problem Statement:** A liquid is flowing through a horizontal pipe whose radius is 0.0267 m. The pipe bends straight upward through a height of 14.0 m and joins another horizontal pipe whose radius is 0.0870 m. What volume flow rate will keep the pressures in the two horizontal pipes the same? **Diagram Explanation:** The diagram illustrates a pipe system where: 1. The first horizontal pipe has a radius denoted as \( r_1 \). Its diameter is labeled \( 2r_1 \), and it shows a flow velocity \( v_1 \) in the horizontal direction. 2. The pipe bends vertically upward to a height \( h = 14.0 \, \text{m} \). 3. After ascending, the pipe connects to a second horizontal pipe with a radius \( r_2 \). Its diameter is represented as \( 2r_2 \), and it has a flow velocity \( v_2 \). **Input Interface:** - A field labeled "Number" is present for entering the calculated volume flow rate. - Units are selectable, with the default set to cubic meters per second (m³/s).
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