A simple gear train of 30 and 50 teeth for pinion and gear wheel respectively, is used to drive an electric wheelchair at a velocity that is double the maximum velocity of slip. The pinion has an equal addendum as the gear wheel, a module of 3 mm, and a pressure angle of 14.5o . The wheelchair has a maximum velocity of 5 m/s when its pinion rotates at 800 r.p.m. Calculate: 1.1. The magnitude of the velocity of slip of gears in mesh. (2) 1.2. The angular speed of the gear wheel in rad/s. (4) 1.3. The maximum length of a path of the approach in mm. (2) 1.4. The length of a path of a recess in mm. (7) 1.5. The addendum of the gears in mm. (7) 1.6. The contact ratio
A simple gear train of 30 and 50 teeth for pinion and gear wheel respectively, is used to drive an electric wheelchair at a velocity that is double the maximum velocity of slip. The pinion has an equal addendum as the gear wheel, a module of 3 mm, and a pressure angle of 14.5o . The wheelchair has a maximum velocity of 5 m/s when its pinion rotates at 800 r.p.m. Calculate: 1.1. The magnitude of the velocity of slip of gears in mesh. (2) 1.2. The angular speed of the gear wheel in rad/s. (4) 1.3. The maximum length of a path of the approach in mm. (2) 1.4. The length of a path of a recess in mm. (7) 1.5. The addendum of the gears in mm. (7) 1.6. The contact ratio
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
A simple gear train of 30 and 50 teeth for pinion and gear wheel respectively,
is used to drive an electric wheelchair at a velocity that is double the maximum
velocity of slip. The pinion has an equal addendum as the gear wheel, a module
of 3 mm, and a pressure angle of 14.5o
. The wheelchair has a maximum
velocity of 5 m/s when its pinion rotates at 800 r.p.m. Calculate:
1.1. The magnitude of the velocity of slip of gears in mesh. (2)
1.2. The angular speed of the gear wheel in rad/s. (4)
1.3. The maximum length of a path of the approach in mm. (2)
1.4. The length of a path of a recess in mm. (7)
1.5. The addendum of the gears in mm. (7)
1.6. The contact ratio.
![This is an individual work.
Ringtone
MUTE
Question 1
[20]
A simple gear train of 30 and 50 teeth for pinion and gear wheel respectively,
is used to drive an electric wheelchair at a velocity that is double the maximum
velocity of slip. The pinion has an equal addendum as the gear wheel, a module
of 3 mm, and a pressure angle of 14.5°. The wheelchair has a maximum
velocity of 5 m/s when its pinion rotates at 800 r.p.m. Calculate:
1.1.
The magnitude of the velocity of slip of gears in mesh.
(2)
1.2.
The angular speed of the gear wheel in rad/s.
(4)
1.3.
The maximum length of a path of the approach in mm.
(2)
1.4.
The length of a path of a recess in mm.
1.5.
The addendum of the gears in mm.
(7)
1.6.
The contact ratio.
(8)
Question 2
[10]
An epicyclic gear shown in Figure 1 consists of ring gear, planet gear and sun
gear. The ring gear has 72 internal teeth and sun gear has 32 external teeth.
Planet gear meshes with both ring and sun gears and is carried on an arm
which rotates about the centre of the ring gear at 20 r.p.m. If the gear A is fixed,
Calculate the speed of plane gear.
Sun gear
Arm
-Ring gear
(fixed)
Planet gear
Figure 1: Epicyclic gear train
2
.SSESSOR
MODERATOR
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Transcribed Image Text:This is an individual work.
Ringtone
MUTE
Question 1
[20]
A simple gear train of 30 and 50 teeth for pinion and gear wheel respectively,
is used to drive an electric wheelchair at a velocity that is double the maximum
velocity of slip. The pinion has an equal addendum as the gear wheel, a module
of 3 mm, and a pressure angle of 14.5°. The wheelchair has a maximum
velocity of 5 m/s when its pinion rotates at 800 r.p.m. Calculate:
1.1.
The magnitude of the velocity of slip of gears in mesh.
(2)
1.2.
The angular speed of the gear wheel in rad/s.
(4)
1.3.
The maximum length of a path of the approach in mm.
(2)
1.4.
The length of a path of a recess in mm.
1.5.
The addendum of the gears in mm.
(7)
1.6.
The contact ratio.
(8)
Question 2
[10]
An epicyclic gear shown in Figure 1 consists of ring gear, planet gear and sun
gear. The ring gear has 72 internal teeth and sun gear has 32 external teeth.
Planet gear meshes with both ring and sun gears and is carried on an arm
which rotates about the centre of the ring gear at 20 r.p.m. If the gear A is fixed,
Calculate the speed of plane gear.
Sun gear
Arm
-Ring gear
(fixed)
Planet gear
Figure 1: Epicyclic gear train
2
.SSESSOR
MODERATOR
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