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Given: A = 51% B = 1015 hPa C = 838 hPa

Given: A = 51% B = 1015 hPa C = 838 hPa

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Given:

A = 51%

B = 1015 hPa

C = 838 hPa 

Title: Understanding Pressure Differences and Flow Rates in a Water Bottle Experiment --- ## Experiment Summary I took a flight from Los Angeles to Denver, and I carried with me a closed water bottle of the type that delivers water to me through a built-in straw (see Figure 1). The bottle has an internal diameter of \( D = 6 \, \text{cm} \), and an internal height of \( H_B = 25 \, \text{cm} \). It is \( A \% \) filled with water. The straw tip (outlet) has \( H_S = H_B + 3 \, \text{cm} \). The last time I opened the bottle before I departed was at LAX, where the atmospheric pressure was \( P_{LA} = B \, \text{hPa} \). While waiting for my ride at Denver International Airport, atmospheric pressure \( P_{Denver} = C \, \text{hPa} \), I opened the bottle again and water poured out through the straw due to the difference in pressure between the air trapped in the bottle and the thin Denver air. ### Figures and Explanation: #### Figure 1: Water bottle with straw - This image shows the type of water bottle used in the experiment. #### Figure 2: Bottle configuration - This diagram shows the bottle's configuration when it was opened. The water inside the bottle reaches a certain height, meeting an internal height marked as \( H_B \). #### Figure 3: Another way to look at it - This diagram provides another view of the bottle's configuration. The straw's internal diameter is \( D_S \). --- ### Problem-Solving and Calculations: #### A. Calculate the Instantaneous Flow Rate Calculate the instantaneous flow rate at the moment I opened the bottle in Denver. The straw has an inside diameter of 1/2 cm. Provide your answer in cubic cm per second to three decimal places. State all assumptions. - **Assumptions:** - If you treat the air pressure in Denver as 0, then the pressure in the bottle, for the purposes of this problem, would be the difference in pressure between LA and Denver. #### B. How Much Water Spills? Determine how much water spills before the pressure in the bottle equalizes with the air pressure in Denver. Provide your answer in milliliters to three decimal places. State all assumptions. - **
Transcribed Image Text:Title: Understanding Pressure Differences and Flow Rates in a Water Bottle Experiment --- ## Experiment Summary I took a flight from Los Angeles to Denver, and I carried with me a closed water bottle of the type that delivers water to me through a built-in straw (see Figure 1). The bottle has an internal diameter of \( D = 6 \, \text{cm} \), and an internal height of \( H_B = 25 \, \text{cm} \). It is \( A \% \) filled with water. The straw tip (outlet) has \( H_S = H_B + 3 \, \text{cm} \). The last time I opened the bottle before I departed was at LAX, where the atmospheric pressure was \( P_{LA} = B \, \text{hPa} \). While waiting for my ride at Denver International Airport, atmospheric pressure \( P_{Denver} = C \, \text{hPa} \), I opened the bottle again and water poured out through the straw due to the difference in pressure between the air trapped in the bottle and the thin Denver air. ### Figures and Explanation: #### Figure 1: Water bottle with straw - This image shows the type of water bottle used in the experiment. #### Figure 2: Bottle configuration - This diagram shows the bottle's configuration when it was opened. The water inside the bottle reaches a certain height, meeting an internal height marked as \( H_B \). #### Figure 3: Another way to look at it - This diagram provides another view of the bottle's configuration. The straw's internal diameter is \( D_S \). --- ### Problem-Solving and Calculations: #### A. Calculate the Instantaneous Flow Rate Calculate the instantaneous flow rate at the moment I opened the bottle in Denver. The straw has an inside diameter of 1/2 cm. Provide your answer in cubic cm per second to three decimal places. State all assumptions. - **Assumptions:** - If you treat the air pressure in Denver as 0, then the pressure in the bottle, for the purposes of this problem, would be the difference in pressure between LA and Denver. #### B. How Much Water Spills? Determine how much water spills before the pressure in the bottle equalizes with the air pressure in Denver. Provide your answer in milliliters to three decimal places. State all assumptions. - **
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