11hw11-13apr-Soln - EML4321HW#11Due13April,Spring2011 1....

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EML 4321 – HW #11 – Due 13 April, Spring 2011 1. Assuming r = 0, find the Taylor tool life equation if you have the following experimental data. (Hint: fit p, q, and C to the data.) (Note that we are assuming no error, noise, or scatter in the data.) v (m/min) f r (mm) T (min) 300 0.2 30 400 0.2 15 400 0.3 9 21 12 ;1 2 400 30 4 ;; l o g 300 15 3 st nd p p Find p use and rows vT p ⎛⎞ == ⎜⎟ ⎝⎠ l o g 2 = p=2.41 3 2 32 ;2 3 0.2 9 2 9 l o g 0.3 15 3 15 nd rd q q Find q use and rows T f q fT = l o g q = 1.26 2.41 1.26 2.41 1.26 () ; 1 300 0.2 30 st pq Find C Taylor tool life equation use row Cv fTv fT =⋅ = 6 3.684 10 So the equation is: v 2.41 f 1.26 T = 3.684 x 10 6 The problem with doing this sort of thing is that this is a collocation, not a regression. Any slight error will cause the exponents and the constant to vary widely. For accuracy, it would be better to have much more data and do a (probably nonlinear) regression fit. 2. You have to make a part with a simple turning operation. Assuming the cost data below, calculate the cost of the part. Assume the use rate includes allowances for personal, fatigue, and delay.
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11hw11-13apr-Soln - EML4321HW#11Due13April,Spring2011 1....

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