MECH 325 Midterm 2021 Solution
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School
University of British Columbia *
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Course
325
Subject
Mechanical Engineering
Date
Oct 30, 2023
Type
Pages
17
Uploaded by ColonelHyenaMaster902
MECH
325
-
Midterm
Book
1
Closed
Book
Tuesday,
October
26,
2021
Name:
g@
l
\)
\\'TD\\J\
Student
Number:
Circle
your
section
Section
102
Section
101
Signature:
Part
1
MC
Mark
/12
Part
1
SA
Mark
/10
Part
2
LA
Mark
/38
Total
/60
Instructions
There
are
two
parts
to
this
exam
with
different
instructions
for
each.
Please
read
carefully.
Part
1
—
Closed-Book
(22
marks)
Multiple
choice
(12
marks:
1
marks
per
question).
Complete
all
12
questions
by
marking
your
response
on
the
paper.
Short
answer
(10
marks).
Complete
all
5
questions
by
marking
your
response
in
this
exam
booklet.
After
you
have
completed
Part
1,
hand
in
your
paper
in
order
to
begin
the
Open
Book
portion.
You
may
not
return
to
Part
1
after
you
hand
it
in.
Part
2
—
Open-Book
(38
marks)
Long
answer
(38
marks):
Complete
all
parts
to
the
questions
for
Part
2
by
marking
your
responses
on
the
exam
paper.
This
portion
of
the
exam
is
open-book
and
open-notes.
NO
COMMUNICATION
DEVICES!
Page
1
Part
1A:
Multiple
Choice
(12
Points)
Answer
all
12
questions.
Each
is
worth
1
mark.
Choose
the
single
best
response
—
a
given
question
may
have
more
than
one
choice
that
is
correct
but
marks
will
only
be
given
for
the
best
answer.
1.
What
is
the
best
description
of
the
type
of
motion
between
the
teeth
of
two
properly
meshed
worm
gears?
a)
Purely
rolling
@
Purely
sliding
¢)
Some
rolling
when
teeth
engage
and
disengage,
but
predominantly
sliding
d)
Some
sliding
when
teeth
engage
and
disengage,
but
predominantly
rolling
e)
Approximately
equal
parts
sliding
and
rolling
:
2.
For
properly
meshed
worm
gears
which
of
the
following
statements
is
FALSE?
The
magnitude
of
the
axial
force
on
the
worm
is
the
same
as
radial
force
on
the
gear
b)
The
magnitude
of
the
radial
force
on
the
worm
is
the
same
as
the
radial
force
on
the
gear
¢)
The
magnitude
of
the
axial
force
on
the
worm
is
the
same
as
the
tangential
force on
the
gear
:
d)
The
magnitude
of
the
tangential
force
on
the
worm
is
the
same
as
the
axial
force
on
th
gear
‘
e)
The
magnitude
of
the
friction
force
on
the
worm
is
the
same
as
the
frictional force
on
the
gear
3.
Which
of
the
following
types
of
gears
is
appropriate
for
high-load
transmission
of
motion
between
parallel
shafts
with
no
axial
loading
on
either
shaft?
a)
Bevel
b)
Hypoid
c¢)
Worm
d))
Herringbone
€)
Helical
4.
A
spur
gear
has
40
teeth,
a
14°
pressure
angle,
and
a
pitch
diameter
of
2.0
in.
What
is
the
diametral
pitch
of
the
gear?
N
P-
Mp:
1%
-20
c)
2.86
&
Page
3
5.
For
the
gear
train
shown,
gear
5
is
the
driving
pinion
Gear
5
has
17
teeth,
Gear
4
has
34 teeth.
Gear
3
has
16
teeth
and
Gear
2
has
40
teeth.
An
1800
rpm
motor
is
driving
the
gear
box
in
the
Clockwise
direction.
What
is
the
speed
and
direction
of
the
output
shaft?
360
rpm clockwise
360
rpm
counter
clockwise
T
T
¢)
720rpmclockwise
=
i
R
e
Pl
34
Ov
r'\-
d)
720
rpm
counter
clockwise
e)
300
rpm
clockwise
e
i
f‘”;Hw
e
Sane
Ji"(,(-m\
al
'hp‘l}
6.
The
motor
attached
to
the
gearset
in
Question
4
above
is
rated
at
750
Watt.
What
is
the
torque
:;lfl]lggllfg““hafi?
pouev:
TUU
7§()
=
T
36%0
'afl-
19.9
N-m
5
o
TP
-
19890
e)
47.9N-m
7.
The
term
“Post-Extreme
Horespower”
refers
to
the
following:
a)
The
breaking
strength
of
a
synchronous
belt
b))
The
power
rating
for
a
chain
where
roller
fatique
or
excessive
wear
are the
modes
of
failure
c)
The
power
rating
for
a
chain
where
link
fatigue
failure
is
the
primary
mode
of
failure
d)
The
maximum
horsepower
rating
for
a
chain
e)
The
smallest
degree
of
lubrication
8.
Which
of
the
following
components
of
belt
tension
present
in
V-Belts
but
normally
ignored
in
flat
belts
that
is
the
main
consideration
when
calculating
belt
life?
Initial
tension
(F;)
Bending
tension
(Fy)
c)
Centrifugal
tension
(Fc)
d)
Tight-side
tension
(Fi)
e)
Slack-side
tension
(F2)
9.
Which
of
the
following
statements
is
FALSE
for
a
wormgear
drive
a)
Efficiencies
of
wormgears
are
less
than
bevel
gears
b)
High
gear
ratios
can
be
achieved
using
worm
gears
The
efficiency
of
the
wormgear
is
a
function
of
the
friction
coefficient
and
the
pressure
angle
The
axial
velocity
of
the
worm
is
the
tangential
velocity
of
the
gear
€)
For
wormgears
to
be
self-locking,
the
lead
angle
must
be
kept
low
(no
more
than
5°)
Page
4
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10.
Which
of
the
following
statements
regarding
gears
is
TRUE?
a)
Spur
gears
can take
higher
loads
than
helical
gears
b)
Helical
gears
can
never
be
used
for
right
angle
drives
(shafts
90°)
é
Lower
pressure
angles
allow
for
higher
transverse
forces
between
gears
Pinions
with
only
10
teeth
can
be
used
with
a
rack
€)
Miter
gears
are
a
form
of
helical
gears
11.
For
roller
chains
the
term
chordal
speed
variation
refers
to:
a)
the
speed
of
engagement
of
a
chain
with
a
sprocket
b)
the
relationship
between
the
chain
speed
and
the
sprocket speed
the
change
in
chain
speed
as
the
friction
in
the
chain
changes
6&1&:
change
in
chain
speed
due
to
the
slight
rise
and
fall
of
the
chain
as
it
engages
with
the
sprocket
¢)
the
change
in
chain
speed
due
to
elongation
of
the
chain
12.
When
specifying
the
working
load
of
wire
rope,
which
of
the
statements
is
FALSE:
a.
one
must
consider
the
modulus
of
elasticity
of
the
wire
rope
b.
one
must
take
in
account
the
maximum
allowable
bearing
pressure
of
the
wire rope
on
the
sheave
..
one
must
consider
the
application
in
order
to
specify
a
safety factor
one
must
determine
the
maximum
sheave
diameter
€.
one
must
consider
loads
caused
by
sudden
stops
and
starts
13.
(Bonus)
To
convert
from
horsepower
to
ft-lbs/sec
use
the
following
conversion
a)
Divide
by
454
b)
Divide
by
33000
Multiply
by
550
d)
Divide
by
550
e)
Divide
by
32.2
Page
5
Part
1B
—
Short-Answer
Questions
(10
marks)
Answer
all
questions
in
the
spaces
provided.
MECH
325
14.
Name
the
SIX
missing
ter«ls
(A
‘th{
ugh
F)
related
to
spur
gears
(3
marks)
¢
A
2
|A\'\\
(CV:W%L;\;LSDT
‘DQ
Ae\\
Auh_
\}L
M{*l‘
C‘LL
B
‘Xiz\
s
e
£
=
PI%LL
C;Vol(
(\nil‘
Gt(l["
Pidd
D}c'\d&)
cr
Al
bl
R
15.
Which
of
the
above
terms
are
important
for
stress
analysis
of
the
gear
teeth?
Why
(2
marks)?
The
pRLERL
Grcle)
wd
Gl
ore
kg
for
Bov
shwert
axalyn
.
R.H
\,ml'.-\,
i\co‘t.clrn}
Shewg
are
vedod
w
ulé“,w,
Twereasd
A
rdochion
n
r'l"‘*
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reduco
heodiv
edaeer.
Toicveans
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sheor
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e
5o
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Page
6
16.
In
gear
design,
what
is
meant
by
interference?
How
can
it
be
avoided
(2
marks)?
e
¢
vela
\'J
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CaVid
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oler
wom
17.
Two
parallel
shafts
with
6
inch
center
distances
are
to
be
connected
by
a
pair
of
gears
having
a
diametrical
pitch
of 16
teeth/inch.
The
spur
gears
have
a
contact
pressure
angle
of
14.5°
and
provide
a
gear
reduction
of
3.0.
Determine
the
pitch
diameter
and
number
of
teeth
in
the
pinion
gear
(3
marks)
gy
=
6
pi-
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MECH
325
-
Midterm
Book
2
Open Book
Tuesday,
October
27,
2020
Name:
Q/I)
'
()
\-xl
Dh¥
Student
Number:
Circle
your
section
:
LS
Section
101
Section
102
I
adhered
to
the
policy
of
No
Communication
Devices.
Signature:
Instructions
Please
read
carefully.
No
Communication
Devices
Allowed!
Laptops
and
Tablets
are
allowed
but
communication
features
MUST
be
disabled.
There
are'TWO
Problems
to
complete.
Part
2
-
Open-Book
(38
pts)
Long
answer:
Complete
all
parts
to
the
question
by
marking
your
response
in
the
pages
provided.
This
portion
of
the
exam
is
open-book
and
open-notes.
At
the
end
of
the
exam,
return
this
handout
with
your
answers
on
the
pages.
This
is
a
multi-part
problem.
For
each
part,
use
the
parameter
values
given.
If
you
cannot
complete
one
-
part,
you
may
assume
some
values
and
move
on
in
order
to
receive
marks
for
subsequent
parts.
Clearly
indicate
your
final
answer
to
each
part
by
drawing
a
box
a.round
it.
Separate
different
parts
with
a
line
drawn
across
the
page.
Page
1
Long
Answer
Problem
(38
marks)
Problem
1
(16
Marks)
A
chain
drive
system
is
required
to
attach
an
electric
motor
to
an
industrial
agitator.
The
following
information
relates
to
the
equipment
Driver
AC
Motor
(High
Torque)
Driven
Machine
Reciprocating
Pump
Service
6
hours/day
Input
Speed
700
rpm
Input
Power
5
HP
~~
Output
Speed
(Nominal)
~
300rpm
:
z
e
Centerline
Distance
(Nominal)
30
inches
Design
Factor
1.0
A
a)
Specify
a
suitable
service
factor
9
b)
Specify
a
chain
size,
and
the
number
of
teeth
for the
sprockets.
Select
the
smaller
sprocket
to
have
less
than
20
teeth.
What
is
the
final
velocity
ratio?
G
¢)
Specify
the
number
of
chain
pitches
(links)
for
the
nominal
centerline
distance
d)
Specify
the
type
of
lubrication
regime
required
for
this
operation.
X
e)
What
is
the
safety
factor
for
your
design?
Comment
on
the
result
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Pageé6
Problem
2
(22
Points)
Part1of3
(8
points)
Do
an
analysis
on
the
following
full
depth
involute
SPUR
gears:
Note:
you
can
choose
imperial
or
metric
units
Driver
AC
Motor
(High
Torque)
Driven
Machine
Agitator
(Liquid)
Service
4
hours/day
Input
Speed
1750
rpm
~Input
Power
5
HP
(3.75
kW)
Pressure
Angle
20°
-
Diametrical
Pitch
~
12
teeth/inch
(module
=2
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SRR
Pinion
16
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Gear
51
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Gear
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(Velocity
Ratio)
b)
Pitch
diameter
for
pinion
and
gear
c)
Pitch
line
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d)
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and
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forces
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Part2
of
3
(10
Points)
Determine
the
AGMA
contact
stress
number
for
the
16
tooth
pinion
ONLY.
Given:
Face
Width
1.00
inch
(25
mm.)
Pressure
Angle
20°
Gear
Quality
Ay=7(Q=10)
-
Material
for
Pinion
&
Gear
Steel
e~
Size
Factor
Ks=1.0
Rim
thickness
factor
Ks=1.0
Overload
Factor
K,
=
1.25
(uniform
power
source
and
light
shock)
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Coefficient
Cp=?
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factor
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Contact
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Part
3
of
3
(4
points)
Select
a
suitable
through
hardened
steel
for
the
pinion.
Specify
the
alloy
and
heat
treatment.
The
gear
is
expected
to
operate
for
107
cycles.
You
can
assume
reliability
factor
and
temperature
factors
are
1.0.
You
can
also
assume
the
Hardness-ratio
factor,
Cy
=
1.0
What
is
your
safety
factor
for
contact
stress?
Comment
on
the
result
Would
you
recommend
flame
or
induction
hardening
for
this
gear?
Explain.
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D) (x!x>-5); (-5,-)
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Let C' be the circle centered at the origin with radius 4 oriented clockwise, and let
F(x,…
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А. 3x2+2x-4 В.-3х2+2x+4 С.3x272x+4 D.-3x2 +2x
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each one,…
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Find the equation for the level curve of the function f(x, y) = 3x² + 2y² for the value 8.…
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0
1 11
1
1
1
2…
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Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as…
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