Your dorm has an amateur hour every Friday night. Since you have a tremendous lung capacity, you challenge everyone to a lung capacity competition which is conducted by blowing air through one straw which in turn pulls water up through another straw, as shown in the figure. The straws are identical and have a diameter of 0.90 cm, you are able to exhale 1.3 liters of air through the horizontal straw in as little as 2 seconds, and the density of air is 1.29 kg/m³. Determine the following. (a) speed of the air as it travels through the horizontal straw X m/s (b) height to which water rises in the vertical straw cm

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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**Educational Text: Lung Capacity Challenge**

Your dorm hosts an amateur hour every Friday night. With your impressive lung capacity, you decide to compete by blowing air through one straw, which causes water to rise through another straw, as depicted in the diagram.

### Scenario:
- **Straw Details**: Both straws are identical with a diameter of 0.90 cm.
- **Air Exhalation**: You can exhale 1.3 liters of air through the horizontal straw in just 2 seconds.
- **Air Density**: The density of air is 1.29 kg/m³.

### Tasks:
Determine the following:
(a) **Speed of the Air**: Calculate the speed at which air travels through the horizontal straw.

(b) **Water Rise Height**: Find the height to which the water rises in the vertical straw.

---

### Diagram Explanation:
The diagram shows a person blowing air into a horizontal straw. The exhaled air travels with a velocity \( v \) through this straw and exits into the atmosphere. A vertical straw submerged in water is connected to the horizontal straw, causing water to rise to a height \( h \). Your task is to calculate \( v \) and \( h \) based on the given data.
Transcribed Image Text:**Educational Text: Lung Capacity Challenge** Your dorm hosts an amateur hour every Friday night. With your impressive lung capacity, you decide to compete by blowing air through one straw, which causes water to rise through another straw, as depicted in the diagram. ### Scenario: - **Straw Details**: Both straws are identical with a diameter of 0.90 cm. - **Air Exhalation**: You can exhale 1.3 liters of air through the horizontal straw in just 2 seconds. - **Air Density**: The density of air is 1.29 kg/m³. ### Tasks: Determine the following: (a) **Speed of the Air**: Calculate the speed at which air travels through the horizontal straw. (b) **Water Rise Height**: Find the height to which the water rises in the vertical straw. --- ### Diagram Explanation: The diagram shows a person blowing air into a horizontal straw. The exhaled air travels with a velocity \( v \) through this straw and exits into the atmosphere. A vertical straw submerged in water is connected to the horizontal straw, causing water to rise to a height \( h \). Your task is to calculate \( v \) and \( h \) based on the given data.
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