ameter, the two shafts being parallel, 1 m apart, and the free parts of the belt considered raight. The belt has a mass of 0.5 kg/m and the maximum tension is to be 800 N. µ= 0.35, estimate the maximum tension difference allowing for inertia of the belts. the belt has a cross-sectional area of 350 mm² and E for the material is 320 MN/m², estimate a) the speed of the driven pulley at the maximum condition, and b) the power transmitted to it. 375 mm -75 mm 1m

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
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Question.01
A pulley of 150 mm effective diameter running at 1500 rev/min drives a follower of 750 mm
diameter, the two shafts being parallel, 1 m apart, and the free parts of the belt considered
straight. The belt has a mass of 0.5 kg/m and the maximum tension is to be 800 N.
If u= 0.35, estimate the maximum tension difference allowing for inertia of the belts.
If the belt has a cross-sectional area of 350 mm? and E for the material is 320 MN/m?, estimate
a) the speed of the driven pulley at the maximum condition, and
b) the power transmitted to it.
375 mm
75mm
1m
Transcribed Image Text:Question.01 A pulley of 150 mm effective diameter running at 1500 rev/min drives a follower of 750 mm diameter, the two shafts being parallel, 1 m apart, and the free parts of the belt considered straight. The belt has a mass of 0.5 kg/m and the maximum tension is to be 800 N. If u= 0.35, estimate the maximum tension difference allowing for inertia of the belts. If the belt has a cross-sectional area of 350 mm? and E for the material is 320 MN/m?, estimate a) the speed of the driven pulley at the maximum condition, and b) the power transmitted to it. 375 mm 75mm 1m
Chapter 03: Belt Drives
Solution
Referring to Figure Q1
Example C03.01
0-375 – 0-075
cos
- 0-3
Question
= 72° 33' = 1-266 rad
A pulley of 150 mm effective diameter running at 1500 rev/min drives a follower of 750 mm
diameter, the two shafts being parallel, 1 m apart, and the free parts of the belt considered
straight. The belt has a mass of 0.4 kg/m and the maximum tension is to be 720 N.
.. angle of lap on smaller pulley,
0 = 2-532 rad
If u= 0.4, estimate the maximum tension difference allowing for inertia of the belts.
x 0-075 = 11-78 m/s
60
V= 1500 x
If the belt has a cross-sectional area of 320 mm? and E for the material is 300 MN/m?, estimate
the speed of the driven pulley at the maximum condition and the power transmitted to it.
: Te= my?
from equation (9
(3.1)
= 0-4 x 11-782 = 55-6 N
一。
公-”
from equation (9 (3.2)
720 - 55-6
i.e.
= *x26S2 = 2-754
375 mm
T, – 55-6
-75mm
T= 296-8 N
:. T-T= 720– 296-8 = 423-2 N
from which
=1-
(T, - T,)
from equation (9 **
(3.10)
1m
423-2
320 x 10- x 300 × 10°
e 11:728 m/s
Figure Q1
11-728
60
= 298-6 rov/min
27
. speed of follower=
0-375
Power transmitted = 423-2 x
298-6 ×
10-375 ) = 4960 W
Transcribed Image Text:Chapter 03: Belt Drives Solution Referring to Figure Q1 Example C03.01 0-375 – 0-075 cos - 0-3 Question = 72° 33' = 1-266 rad A pulley of 150 mm effective diameter running at 1500 rev/min drives a follower of 750 mm diameter, the two shafts being parallel, 1 m apart, and the free parts of the belt considered straight. The belt has a mass of 0.4 kg/m and the maximum tension is to be 720 N. .. angle of lap on smaller pulley, 0 = 2-532 rad If u= 0.4, estimate the maximum tension difference allowing for inertia of the belts. x 0-075 = 11-78 m/s 60 V= 1500 x If the belt has a cross-sectional area of 320 mm? and E for the material is 300 MN/m?, estimate the speed of the driven pulley at the maximum condition and the power transmitted to it. : Te= my? from equation (9 (3.1) = 0-4 x 11-782 = 55-6 N 一。 公-” from equation (9 (3.2) 720 - 55-6 i.e. = *x26S2 = 2-754 375 mm T, – 55-6 -75mm T= 296-8 N :. T-T= 720– 296-8 = 423-2 N from which =1- (T, - T,) from equation (9 ** (3.10) 1m 423-2 320 x 10- x 300 × 10° e 11:728 m/s Figure Q1 11-728 60 = 298-6 rov/min 27 . speed of follower= 0-375 Power transmitted = 423-2 x 298-6 × 10-375 ) = 4960 W
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