Page - 27 - in Programming for Computations – Python - A Gentle Introduction to Numerical Simulations with Python

1.6 Exercises 27 Exercise1.2:Volumeofacube Writeaprogramthat computes thevolumeV ofacubewith sidesof lengthLD4 cmandprints the result to the screen. BothV andL shouldbedefinedas separate variables in the program. Run the program and confirm that the correct result is printed. Hint Seeball.py in the text. Filename:cube_volume.py. Exercise1.3:Areaandcircumferenceofacircle Writeaprogramthatcomputesboth thecircumferenceC and theareaAofacircle with radius r D 2 cm. Let the results beprinted to the screenona single linewith an appropriate text. The variablesC,A and r should all be defined as a separate variables in theprogram. Run theprogramandconfirm that the correct results are printed. Filename:circumference_and_area.py. Exercise1.4:Volumesof threecubes Weare interested in thevolumeV ofacubewith lengthL:V DL3, computed for threedifferentvaluesofL. a) Use thelinspacefunctiontocompute threevaluesofL, equallyspacedon the interval Œ1;3 . b) CarryoutbyhandthecomputationV DL3 ifL isanarraywith threeelements. That is, computeV foreachvalueofL. c) In aprogram,write out the resultVofV = L**3whenL is an arraywith three elements as computedbylinspace in a). Compare the resultingvolumeswith yourhandcalculations. d) MakeaplotofVversusL. Filename:volume3cubes.py. Exercise1.5:Averageof integers Write a program that stores the sum 1C2C3C4C5 in one variable and then createsanothervariablewith theaverageof thesefivenumbers. Print theaverageto the screenandcheck that the result is correct. Filename:average_int.py. Exercise1.6: Interactivecomputingofvolumeandarea a) Compute the volume inExercise 1.2 byusingPython interactively, i.e., do the computationsat thecommandprompt (inaPythonshell aswealso say). Com- parewithwhatyougotpreviously fromthewrittenprogram. b) Do the samealso forExercise1.3.