Lab 3
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East Carolina University *
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1260
Subject
Mechanical Engineering
Date
Oct 30, 2023
Type
docx
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2
Uploaded by btindall01
ELAR
A2
EXERCISES
1-6
Complete
these
calculations
of
uncertainty
propagation
and
submit
them
for
the
pre
lab
assignment.
You
must
show
your
work
in
your
submission.
Your
video
analysis
of
the
motion
of
a
marble
gives
it
position
in
frame
23
as
(X23,
423)
=
(0134
m,
0.120
m)
and
its
position
in
frame
24
as
(X24,
324)
=
(0.122
m,
0.112
m).
You
estimate
that
you
can
measure
the
x
and
v
positions
with
uncertainty
#0.003
m.
The
frame
rate
of
the
video
is
30
frames/s,
which
means
the
time
interval
between
frames
is
At
=
0,033
33%.
The
uncertainty
of
the
frame
rate
of
a
video
camera
is
VERY
small.
For
the
sake
of
this
problem,
use
S(A)
=
1
x
10-6s.
The
mass
of
the
marble
is
(2.031
#
0.001)
x
10-2
kg,
Calculate
the
following
quantities:
ie
=
Xi
||
The
value
of the
velocity
component
Vx
=
X
A\+
and
ite
uncertainty,
\d&x\
\
om&zzse.
»
30s™/m
)\
_
I
e
©
1086
2/m
Dux
=
(30507
0.603w)
+(10:3
£
%
+
(00333332
)
Nux
2
0.00
s
+0326m/
52
095
%
2.
|
The
value
of the
velocity
component
~/,
=
X=1-Y1.
“A;\/
~
and
ite
uncertainty,
Yi=0.10m
Virl=0.\12m
A}
=0.033338s
Ay
=Yi¥1-$1
201
=0
A
10m
=~
0.008m
0%
™
ogaizss
¥
T
O-W
s
Vy
=B¥=:
<
CvyEmd
s
\_L“J—|_
Seany
<
30s/m
0.00%™
~
VM=
Gommax
725"
m
Dvy=
(305"/m"0.008m)+
(7.25Ym
+
(0.0333339)
DNvy=
0.0
/s
+
0.20ms
2
0.3
Ws
and
ite
uncertainty,
0.43
v/s
lve
Juik
vyt
av
=20
(vi+vyY)
[BY.
=
2
(vx
Bvx+VyAvy)
[
2w
[
Av
=0.36
x0.8+024
x0\8
0.36°+024*
AV
0.25m/5
‘
The
value
of
the
momentum
component
©x
=(nv
.«
and
ite
uncertainty
[
|
M
(mass
of
$re
mosble)
2.031
X
1D
"%
¥,
[Vx
(velocity
comprent
indhe
X-ditectio)
=
-0.36
m/s>
[Py
=MV
=
(2,031
x10%
kg)
*
(0%
/)
Px:'Om‘737.V\3-m/5
rooomszxgevs
W
The
value
of the
momentum
component
Py=vivy
and
ite
uncertainty,
1
The
value
of
the
kinetic
energy
W=z
ow
t=F
(v
%)
and
its
uncertainty
X
|
b=
05
%
2.0
1072
x
0.49%
{IRERI0
20"
AW
_
Aw
gAv
-
v
T
[
AW
_
ooo1x10
0.25
1.88x10°
~
2.03(x0""
i
0u3
|
Ak=213x10°
T
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