Step 2 Understand the parameters that will control your resulting solution. – This is the most important step of the plan, and if you mess up here you will definitely mess up on step 3, which will throw off your entire result. Discuss how this will be similar to the introductory exploration and how it problem’s objective will be different. Step 3 Determine the number of wraps to complete one roll. – As you (should have) discussed in step 2, for this problem cannot directly measure the outer radius to calculate the number of wraps. But we do know the total length and the material thickness. So we must the “back-into” number of wraps. I want to see two methods here: A) Use an MSExcel spreadsheet. The following screenshot shows the needed columns and the first few rows. Simply extend the spreadsheet until the Cumulative Total Length reaches one completed roll of ribbon. Note: the only cell with a number is A3, all the other cells must contain cell-referencing I will computational formulas….and check your formulas, not just the numbers! B) Create and solve an algebraic equation. Let X = the number of wraps, and build a formula that computes the total inches wound by X wraps. Then set this formula equal to the total number of inches in one roll. Finally, solve for X. Note: the total inches wound by X wraps will be a so you will need to look back at our work in series. In particular, you sum, will need the formula for the Sum of a Finite Arithmetic Sequence. Step 4 Use the information found above to finish creating a solution. Things to consider/calculate: – i) The machine run-time per roll. ii) The machine clock-time per roll.
Step 2 – Understand the parameters that will control your resulting solution. This is the most important step of the plan, and if you mess up here you will definitely mess up on step 3, which will throw off your entire result. Discuss how this problem’s objective will be similar to the introductory exploration and how it will be different. Step 3 – Determine the number of wraps to complete one roll. As you (should have) discussed in step 2, for this problem cannot directly measure the outer radius to calculate the number of wraps. But we do know the total length and the material thickness. So we must “back-into” the number of wraps. I want to see two methods here: A) Use an MSExcel spreadsheet. The following screenshot shows the needed columns and the first few rows. Simply extend the spreadsheet until the Cumulative Total Length reaches one completed roll of ribbon. Note: the only cell with a number is A3, all the other cells must contain cell-referencing computational formulas….and I will check your formulas, not just the numbers! B) Create and solve an algebraic equation. Let X = the number of wraps, and build a formula that computes the total inches wound by X wraps. Then set this formula equal to the total number of inches in one roll. Finally, solve for X. Note: the total inches wound by X wraps will be a sum, so you will need to look back at our work in series. In particular, you will need the formula for the Sum of a Finite Arithmetic Sequence. Step 4 – Use the information found above to finish creating a solution. Things to consider/calculate: i) The machine run-time per roll. ii) The machine clock-time per roll.
winder_thruput_lab.docx