Please name your file “Firstname Lastname Homework 09.pdf” (see below for more details). IMPORTANT: Remember that I encourage you to work in groups, but each student must submit his/her own homework. Every student’s homework assignment should look significantly different from all other students (i.e., each student’s work should be a representation of their own work). Solve the following problems in Matlab. Please use the Snipping Tool (Start menu → Snipping Tool) to document your input/output in Matlab. Paste the snips into a Microsoft Word (.doc or .docx) file or a Google doc but your final product must be a .pdf file! MS Word and Google Docs can both produce .pdf files (Google this if you don’t know how!). Fully show all input and output in Matlab, sufficient to explain/show how you arrive at an answer for each problem. You may also wish to add text commentary in your file. The file upload for this assignment must be a .pdf file (no other file extensions will be accepted – this is to preserve the formatting of figures and code). 1. The wind chill factor (Twc, °C) is given as a function of ambient temperature (Ta, °C) and wind speed (V, km/h): Twc = 13.12 + 0.62157. – 11.3770.16 + 0.39657,70.16 Create an m-file called windchill that can be run and a table of wind chill factors will be
displayed. You should use ambient temperatures between 0°C and 40°C in increments of 10°C and velocities from 0 km/h to 40 km/h in increments of 5 km/h in your table. This is what you are trying to create: >> windchill -4.4162 7.9141 2.03 6295 13.1200 19.3350 25.5500 31.7650 37.9800 -1.5894 9.7551 21.0997 32.4442 43.7887 -3.3147 3.6315 20.5777 32.5239 44.4700 20.2 4 -5.2422 -5.9097 -6.4730 7.3761 6.9415 6.5746 19.9945 19.7926 19.6221 32.612932.643732.6697 45.2312 45.4948 45.7172 -6.9622 6.2560 19.4741 32.6923 45.9104 Non -7.3959 5.9735 19.3429 32.7123 46.0817 32.5747 44.9050 (HINT: See the screencast “Vectorization in Matlab, Part 1”.) 2. We have a vertical tank that has a hemispherical bottom, hemispherical top, and cylindrical middle section (see diagram on the next page). a. Create a user-defined function in Matlab called “tank(R,H,d)” that will calculate the volume in the tank as a function of the tank radius (R), tank height (H), and depth of fluid in the tank (d). The piecewise functions that follow will allow one to calculate the volume as a function of d. b. In Matlab, make a single plot of volume (V) as a function of depth (d) ranging from 0 to H for one scenario of your choosing (e.g., R = 1 and H = 3). The plot must be color-coded based on the piecewise function: the first part (d