Lab2E1 Gear Train
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Transcript of Lab2E1 Gear Train
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Lab Manual
FACULTY OF ENGINEERING & BUILT ENVIRONMENT
SUBJECT: EGE 3411 LABORATORY INVESTIGATIONS 2
EXPERIMENT 1: GEAR TRAIN
1.0 OBJECTIVE
i. To determine velocity ratio of simple gear drive
ii. To observe the directions of rotation of simple gear trains.
2.0 THEORY/INTROUCTION
A gear train is a set or system of gears to transfer a rotational torque from one part of a
mechanical system to another which used to increased speed, decreased speed and change the
direction of motion of shafts. Different-sied gears are often used in pairs for a mechanical
advantage, allowing the torque of the driving gear to produce a larger torque in the driven gear at
lower speed, or a smaller torque at higher speed.
!ear trains consist of"
i. Driving gears #driver$ % attached to the input shaft
ii. Driven gears #follower$ % attached to the output shaft
!!!. &dler gears #follower$ % interposed between the driving and driven gear in order to
maintain the direction of the output shaft the same as the input shaft to increase the
distance between the drive and driven gears.
'(amples of gear trains"
i. )imple gear train
ii. *ompound gear train
iii. 'picyclic gear train
iv. +everted gear train
The gear ratio is the relationship between the numbers of teeth on two gears that are meshed.
The gear ratio of a gear train is the number of teeth on the follower divided by the number of
teeth on the driver.
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Lab Manual
!ear ratio number of teeth of driven gear number of teeth of driving gear
A simple gear train consists of two or more meshed gears, where the gear shafts are parallel
and there is only one gear on each shaft. igure / shows a simple gear train consisting of 0 gears.
igure /" )imple gear train with an idler gear
1otice also that the driver and follower gears now turn in the same direction. &n a simple gear
train, the total gear ratio is the product of the gear ratios between the pairs of meshed gears. &f the
gears are labeled A, 2, and * as shown in the figure below, then the gear ratio is given by"
Vr=
nA
nB
=
nB
nC
=
nA
nC
where"
3r velocity ratio
nA speed of gear A
n2 speed of gear 2
n* speed of gear *
1otice that the idler has no effect on the gear ratio.
3.0 APPARATUS
i. )imple gear train 4it which shown in igure 5
ii. A simple arrangement of two spur gears
iii. A simple arrangement of three spur gears
iv. )et of weights
B
GearPinion
Idler CA
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Lab Manual
igure 5" )imple gear train 4it
4.0 PROCEURES
4.1 S!"#$%' G%() T)(!*
/. *hoose two spur gears and anchor it to the frame such that the teeth of the gear interloc4
each other.
5. The bigger gear is the driver while the smaller is the follower.
0. *ount and note the number of teeth for each gear. Then calculate the gear ratio for this
pair of gears.
6. Mar4 the teeth of both gears that are located beneath the pointer.
7. +otate the driver by / revolution and note the number of revolution that the follower gear
ma4es.
8. The fraction of a revolution that the follower ma4es can be calculated by ta4ing the ratio
of the teeth to the ratio of a complete revolution. &f the gear ratio has 05 teeth and the
number of teeth from the point to the mar4 teeth is /9 then the number of revolution that
the gear has made is calculated as follows"
i. 32teet h=1 revolution
ii. 10 teet h= 13210revolution
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Lab Manual
:. Ta4e readings from / to 8 revolutions
;. +ecord your result in Table /.
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Lab Manual
+.0 RESULTS
+.1 S!"#$%' G%() T)(!*
1umber of teeth for the driver
1umber of teeth for the follower
+atio of follower" driver teeth
Table / )peed of driver and follower of simplest gears train
)peed of
driver
)peed of follower
*omplete
revolution #a$
&ncomplete revolution Total revolution
#a$ > #b$1o. of
teeth
raction of
+ev #b$
rev rev 1o rev rev
/
5
0
6
78
Table 5 !ears rotation of simplest gears train
LoadDriver !ear +otation ollower !ear +otation +otation
+atioDirection +?M Direction +?M
+.2 S!"#$% G%() T)(!* 1
1umber of teeth for the driver 1umber of teeth for the last follower
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Lab Manual
+atio of last follower" driver teeth
Table 0 )peed of driver and follower of simple gears train /
)peed of
driver
)peed of last follower
*omplete
revolution #a$
&ncomplete revolutionTotal revolution
#a$ > #b$1o. of
teeth
raction of
+ev #b$
rev rev 1o rev rev
/
5
06
7
8
Table 6 !ears rotation of simple gears train /
LoadDriver !ear +otation ollower !ear +otation +otation
+atioDirection +?M Direction +?M
+.3 S!"#$% G%() T)(!* 2
1umber of teeth for the driver
1umber of teeth for the last follower
+atio of last follower" driver teeth
Table 7 )peed of driver and follower of simple gears train 5
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)peed of
driver
)peed of last follower
*omplete
revolution #a$
&ncomplete revolutionTotal revolution
#a$ > #b$1o. of
teeth
raction of
+ev #b$rev rev 1o rev rev
/
5
0
6
7
8
Table 8 !ears rotation of simple gears train 5
LoadDriver !ear +otation ollower !ear +otation +otation
+atioDirection +?M Direction +?M
,.0 ISCUSSION
i. ?lot the graph of the speed of follower to the speed of the driver for the three cases.
ii. rom the graphs determine the average speed ratio by calculating the slope. Then
compare it with teeth ratio.
iii. @bserve this effect of the idler gears to the system.
-.0 CONCLUSION
i. rom the plotted graph, write down your observation and ma4e your conclusion.
ii. *omment on the accuracy of the e(periment and ways of improving it.
iii. &f a motor is used to drive a certain component of a machine and the motor has a speed of
0999 rpm suggests a gear arrangement so that the component will have a speed of 099
rpm.