(Solved) : 3 Cutting 2 X 4 Timber Column Use Building House Position Saw Blade Cuts Material May Give Q44087772 . . .
3. When cutting a 2″ x 4″ timber column for use in building a house, the position of the saw blade as it cuts through the material may be given by the expression: Xi+1 = xi + s where xi is the current position of the sawblade in the material, Xi+1 is the position of the sawblade in the material after making a cutting pass with the saw, and the length s is the distance you cut through the material with one pass of the saw blade. Assume that each time you make a pass with the blade, you randomly cut through between 0.3 and 0.5 inches of material. You wish to know how many passes of the saw are required to cut through the long side of the 2″ x 4″ section, on average. a First, write a script that uses a while loop which calculates how many passes of the saw are required to cut through the 4″ long section of the 2″ x 4″ cross-section. You should start at a position of O, then randomly add between 0.3 and 0.5 inches to the position of your blade, counting the number of passes required as you go, until you reach 4 inches of length. You can generate the random cutting depth with the commands = randi ([30,50])/100. b. Then, once your while loop is working, incorporate a for loop that executes the calculation in part (a) 1000 times. c. Finally, using the code, determine how many passes of the saw it will take, on average, for you to cut through the timber section. Display this value to the command window as ave passes. Round this value up to the nearest whole integer using the ceil function. Answer: 11 passes. Show transcribed image text 3. When cutting a 2″ x 4″ timber column for use in building a house, the position of the saw blade as it cuts through the material may be given by the expression: Xi+1 = xi + s where xi is the current position of the sawblade in the material, Xi+1 is the position of the sawblade in the material after making a cutting pass with the saw, and the length s is the distance you cut through the material with one pass of the saw blade. Assume that each time you make a pass with the blade, you randomly cut through between 0.3 and 0.5 inches of material. You wish to know how many passes of the saw are required to cut through the long side of the 2″ x 4″ section, on average. a First, write a script that uses a while loop which calculates how many passes of the saw are required to cut through the 4″ long section of the 2″ x 4″ cross-section. You should start at a position of O, then randomly add between 0.3 and 0.5 inches to the position of your blade, counting the number of passes required as you go, until you reach 4 inches of length. You can generate the random cutting depth with the commands = randi ([30,50])/100. b. Then, once your while loop is working, incorporate a for loop that executes the calculation in part (a) 1000 times. c. Finally, using the code, determine how many passes of the saw it will take, on average, for you to cut through the timber section. Display this value to the command window as ave passes. Round this value up to the nearest whole integer using the ceil function. Answer: 11 passes.
Expert Answer
Answer to 3. When cutting a 2″ x 4″ timber column for use in building a house, the position of the saw blade as it cuts through th…
OR