A201F20-Midterm-Exam-v2both_sm

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Mechanical Engineering

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Jan 9, 2024

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
ATSC 201 Fall 2020 Midterm Exam a) questions for 2 pm 4 Nov 2020 (open books, notes) b) questions for 9 pm QQQ%0:.%9;%6708/-9:8%/G*/%780%/G0%I0*/G01%2*<%QQQ% (% 3a. (3 points). At latitude 45°N, the magnitude of the Coriolis parameter is approximately_ s –1 . A) 0.515x10 –4 B) 1.03x10 –4 C) 1.16x10 –4 D) 1.30 x10 –4 E) 2.06x10 –4 3b. (3 points). At latitude 63°N, the magnitude of the Coriolis parameter is approximately_ s –1 . A) 0.515x10 –4 B) 1.03x10 –4 C) 1.16x10 –4 D) 1.30 x10 –4 E) 2.60x10 –4 4a. (5 points). Suppose you are at an altitude where the air density is 1 kg/m 3 and at a location where the Coriolis parameter is 1 x 10 –4 s –1 . If the horizontal pressure gradient is 0.5 kPa/(100 km), then the magnitude of the geostrophic wind is approximately ____ m/s. A) 5,000 B) 1,000 C) 500 D) 100 E) 50 4b. (5 points). Suppose you are at an altitude where the air density is 1 kg/m 3 and at a location where the Coriolis parameter is 1 x 10 –4 s –1 . If the horizontal pressure gradient is 1.0 kPa/(100 km), then the magnitude of the geostrophic wind is approximately ____ m/s. A) 10,000 B) 1,000 C) 500 D) 100 E) 50 5a. (3 points). Suppose a 10 km thick column of air at 50°N has relative vorticity of 1 x 10 –4 s –1 . If the column stretches to become 12 km thick, then the potential vorticity will: 2
ATSC 201 Fall 2020 Midterm Exam a) questions for 2 pm 4 Nov 2020 (open books, notes) b) questions for 9 pm A) increase B) stay the same C) decrease but remain positive D) decrease and become negative E) not enough info to answer 5b. (3 points). Suppose a 10 km thick column of air at 50°N has relative vorticity of 1 x 10 –4 s –1 . If the column stretches to become 12 km thick, then the relative vorticity will: A) increase B) stay the same C) decrease but remain positive D) decrease but remain negative E) not enough info to answer === start of questions that use the following sounding === The following environmental sounding info is already plotted for you on the attached thermo diagram. Use it to answer the following questions. If it is hard to see the details of this thermo diagram, you might want to plot this sounding on your own printed copy of the tephigram from Chapter 5, page 155, of the textbook. For an air parcel that might rise from the surface, assume it has the same initial temperature and dew point as the environment at 100 kPa. P (kPa) T (°C) Td (°C) 100 36 20 95 25 70 15 25 –50 18 –50 6a. (2 points). The top of the mixed layer, z i , is at approximately _____ kPa. A) 95 B) 85 C) 65 D) 45 E) 25 6b. (2 points). The tropopause is at approximately ___ kPa. A) 95 B) 85 C) 65 D) 45 E) 25 7a. (5 points). For the environmental air at P = 100 kPa, its relative humidity is approximately A) 15% B) 20% C) 37% D) 53% E) 100% 7b. (5 points). The lifting condensation level (LCL )is at approximately ___ kPa. A) 95 B) 90 C) 85 D) 80 E) 70 3
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