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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![<strong>Understanding Atmospheric Pressure Changes with Altitude</strong>
**Scenario:**
It was reported that on a particular day in Saint Cloud, MN, the atmospheric pressure was 94,500 Pa at the ground level. A student wants to measure the pressure using a barometer at 2 meters above the ground level. To calculate the expected pressure in Pascals (Pa), consider that the atmospheric pressure decreases by 11.5 Pa per meter of altitude increase.
**Question:**
How much pressure in Pa is the student expected to find at 2 meters above ground level?
**Given Data:**
- Ground Level Pressure: 94,500 Pa
- Altitude Difference: 2 meters
- Pressure Decrease Rate: 11.5 Pa/meter
**Calculation:**
1. Calculate the total pressure decrease over 2 meters.
\[ \text{Total Pressure Decrease} = \text{Altitude Difference} \times \text{Pressure Decrease Rate} \]
\[ \text{Total Pressure Decrease} = 2 \, \text{meters} \times 11.5 \, \text{Pa/meter} = 23 \, \text{Pa} \]
2. Subtract the total pressure decrease from the ground level pressure to find the pressure at 2 meters above ground.
\[ \text{Pressure at 2 meters} = \text{Ground Level Pressure} - \text{Total Pressure Decrease} \]
\[ \text{Pressure at 2 meters} = 94,500 \, \text{Pa} - 23 \, \text{Pa} = 94,477 \, \text{Pa} \]
**Expected Pressure:**
The student is expected to find 94,477 Pa at 2 meters above the ground level.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2932a05-99f3-41c1-989e-7dbca32c3377%2Fdf9b14e2-a67d-48d6-a8bc-1b17ad252f51%2F2j9b8zr_processed.png&w=3840&q=75)
Transcribed Image Text:<strong>Understanding Atmospheric Pressure Changes with Altitude</strong>
**Scenario:**
It was reported that on a particular day in Saint Cloud, MN, the atmospheric pressure was 94,500 Pa at the ground level. A student wants to measure the pressure using a barometer at 2 meters above the ground level. To calculate the expected pressure in Pascals (Pa), consider that the atmospheric pressure decreases by 11.5 Pa per meter of altitude increase.
**Question:**
How much pressure in Pa is the student expected to find at 2 meters above ground level?
**Given Data:**
- Ground Level Pressure: 94,500 Pa
- Altitude Difference: 2 meters
- Pressure Decrease Rate: 11.5 Pa/meter
**Calculation:**
1. Calculate the total pressure decrease over 2 meters.
\[ \text{Total Pressure Decrease} = \text{Altitude Difference} \times \text{Pressure Decrease Rate} \]
\[ \text{Total Pressure Decrease} = 2 \, \text{meters} \times 11.5 \, \text{Pa/meter} = 23 \, \text{Pa} \]
2. Subtract the total pressure decrease from the ground level pressure to find the pressure at 2 meters above ground.
\[ \text{Pressure at 2 meters} = \text{Ground Level Pressure} - \text{Total Pressure Decrease} \]
\[ \text{Pressure at 2 meters} = 94,500 \, \text{Pa} - 23 \, \text{Pa} = 94,477 \, \text{Pa} \]
**Expected Pressure:**
The student is expected to find 94,477 Pa at 2 meters above the ground level.
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