Homework #5 24 pts ATM 10 Fall 2015

QUESTION

Please write your name on every page of your homework. Please use a word processor for all writtenanswers. Show your work in any calculation; math work can be hand-written. Please write the day of theweek and time that your discussion section meets on your homework.Homework #524 ptsATM 10Fall 2015Due: 18 November 20151. (8 pts) During the 1993 storm of the century, an extremely intense north-south squall line ofthunderstorms crossed Florida, from west to east in about 3 hours.a. (3 pts) Let the average west to east width of the Florida peninsula be 155 miles, calculate theaverage speed of the squall line in m/s. Hint: http://atm.ucdavis.edu/atm-tools/ .b. (3 pts) A F2 tornado was spawned and has average winds around the tornado of 150 miles/hour.This average wind speed around the tornado does not include the speed of the squall line (found inpart a). Calculate the total speed of the wind on the north side and on the south side of the tornadoby adding or subtracting the speed of motion of the squall line to the average speed of the windaround the tornado. Your answers are in m/s. Hint: The winds are counter-clockwise around thetornado, when viewed from above.c. (2 pts) Assume the power in the wind is proportional to the square of the wind speed (unitsm2/s2). How different is the wind power on the north versus the south side of the tornado?Calculate this by dividing the larger power over the smaller power when using speeds from part b.2. (10 pts) Freezing rain and falling droplets. Imagine you are driving north on Interstate 35 inOklahoma and stop at a rest area. You check your smart phone and discover a stationary front50km north and oriented due East-West. A weather station reports 32F temperature 125km north,and a band of freezing rain extends from 125-160km north. Nearby stations on the same side ofthe front as you report the freezing level at 1.8 km elevation. The ground at all locations has 0.3kmelevation. The schematic diagram shows thesituation.A solid line marks the front in 3 dimensionswhich has a slope of 1km rise for every 100km inhorizontal distance perpendicular to the front.Elevations plotted are 0.3 to 2.3 km above sealevel (=ASL); horizontal distance is 0 to 200kmNorth from your location. The dashed line iswhere temperature equals 32F.a. (1 pt) What type of precipitation would reachthe ground 175 km North of you?b. (4 pts) From the information given what is the deepest the air below freezing can be and stillhave freezing rain? Hints: figure out the slope of the 32F line on the cold side of the front, thencalculate the depth of the air below that line at 160km North. Express your answer in meters.c. (3 pts) Rain falls at different rates depending upon the size of the drop and the density of the air.You look up information online and find that typical drops fall at 10 m/s at 2km ASL and 9 m/s atsea level. You use these two values to estimate the speed at 0.8km and 0.3km ASL. Find the twovalues then average those values to estimate the fall speed in the layer below the freezing line.d. (2 pts) Using your answers in parts b and c, estimate how long it takes a raindrop to freeze whenfalling through air below freezing. Express that answer to seconds (round off to nearest halfsecond).3. (3 pts) Wind chill. You want to show some winter visitors the view from the top of thegondola ride at Heavenly ski area. You notice they are not warmly dressed. They arecomplaining that the wind is making it feel ’50 degrees below zero’. At the top you see anoutdoor thermometer that says it is -12.2C. You notice some blowing snow and whip out yoursmart phone which has a wind gauge app (measures the sound of air blowing against themicrophone) and it says the wind is gusting up to 26 knots. Using the table in lecture 10,calculate the wind chill to show that it is not ‘50 degrees below zero’ in either Celsius orFahrenheit. (yes, you want the wind chill in both units.) Hint: conversions of temperature andspeed are needed, try this link: http://atm.ucdavis.edu/atm-tools/ .Exam questions are different from the homework questions. (For one thing they are easier, foranother they are shorter.) Each week we give you practice problems to prepare for the next exam.Below are questions from last year’s midterm exam based on Lecture 12:4. You can identify the location of the updraft in a strong thunderstorm by looking at the:a. mammatus cloudsb. gust frontc. rain-free based. all of the above are correcte. anvil cloud asymmetry5. (2 pts) The figure at right shows a vertical cross section through a thunderstorm. Fill in each blankwith the name of the indicated feature that best matches the letter label.H: _________________Fill in the letter location label:The vault region is most likely to be found atlocation ______.Please write your name on every page of your homework. Please use a word processor for allwritten answers. Show your work in any calculation; math work can be hand-written. Pleasewrite the day of the week and time that your discussion section meets on your homework.If there is more than one page for your answers, staple all your pages together. Thanks!

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