This preview shows pages 1–2. Sign up to view the full content.
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.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '08
 Staff

Click to edit the document details