Angle of lap for flat belt,θ

No 90 120 150 180

m 1(g) m 2(g) m 1(g) m 2(g) m 1(g) m 2(g) m 1(g) m 2(g)
1 1600 500 1600 500 1300 500 1100 500
2 2000 700 2000 700 1900 700 1500 700
3 2600 900 2800 900 2700 900 2200 900
4 3400 1100 3800 1100 3000 1100 2500 1100
5 4200 1300 4200 1300 3400 1300 3200 1300
DATA FOR TEST 1
T 1(N) T 2(N) T 1(N) T 2(N) T 1(N) T 2(N) T 1(N) T 2(N)
1 15.70 10.79 15.70 10.79 12.75 7.85 10.79 5.89
2 19.62 12.75 19.62 12.75 18.64 11.77 14.72 7.85
3 25.52 16.68 27.47 18.64 26.49 17.66 21.58 12.75
4 33.35 22.56 37.28 26.49 29.43 18.64 24.53 13.73
5 41.20 28.45 41.20 28.45 33.35 20.60 31.39 18.64
∑ T 1 /T 2 7.45 7.32 7.91 8.87
log e T 1 /T 2 0.399 0.381 0.459 0.571
Table 5.2 TEST1

Angle of lap for flat belt, at angle of,θ=90

V-belt with correct/ fit
No Flat belt (a) V-belt large groove(b)
groove (c)
m1(g) m2(g) m1(g) m2(g) m2(g) m 1(g)
1 1600 500 700 500 600 500
2 2000 700 900 700 850 700
3 2600 900 1200 900 1100 900
4 3400 1100 1400 1100 1300 1100
5 4200 1300 1600 1300 1500 1300

T 1(N T 2(N) T 1−T 2 T 1(N) T 2(N) T 1−T 2 T 1(N) T 2(N) T 1−T 2

) (N) (N) (N)
1 15.79 10.79 4.91 6.87 1.96 4.91 5.89 0.98 4.91
2 19.62 12.75 6.87 8.83 1.96 6.87 8.34 1.47 6.87
3 25.51 16.68 8.83 11.77 2.94 8.83 10.79 1.96 8.83
4 33.35 22.56 10.79 13.73 2.94 10.79 12.75 1.96 10.79
5 41.20 28.45 12.75 15.70 2.94 12.76 14.72 1.96 12.76
Calculation
For table 5.2 Test1

At 90 degree

T 1=m 1g T 2=( m1−m2 ) g

1.
T 1=(1600 ×10−3)9.81 T 2=( 1600−500 ) ×10−3 × 9.81
T 1=15.70 N T 2=10.79 N

2.
T 1=(2000 ×10−3)9.81 T 2=( 2000−700 ) ×10−3 × 9.81
T 1=1 9. 62 N T 2=12.75 N

3.
T 1=(2600 ×10−3)9.81 T 2=( 2600−900 ) × 10−3 ×9.81
T 1=25.51 N T 2=1 6.68N

4
T 1=(3400 ×10−3)9.81 T 2=( 3400−1100 ) × 10−3 ×9.81
T 1=33.35 N T 2=22.56N

5
T 1=( 4200 ×10−3 )9.81 T 2=( 4200−1300 ) × 10−3 ×9.81
T 1=41.20 N T 2=28.45N

T 1 15.70 19.62 25.51 33.35 41.20

∑( ) = + + + +
T 2 10.79 12.75 10.68 22.56 28.45
T1
∑( ) T2
=7.45

T1
T1
∑ ( )
T 2 7.45 =1.49
( )
T2 average
=
5
=
5

T1
log e =log e 1.49
T2
T
log e 1 =0.399
T2
At 120 degree

T 1=m 1g T 2=( m1−m2 ) g

1.
T 1=(1600 ×10−3)9.81 T 2=( 1600−500 ) ×10−3 × 9.81
T 1=15.70 N T 2=10.79N

2.
T 1=(2000 ×10−3)9.81 T 2=( 2000−700 ) ×10−3 × 9.81
T 1=1 9.62 N T 2=12.75 N

3.
T 1=(2 8 00 ×10−3)9.81 T 2=( 2 8 00−900 ) ×10−3 × 9.81
T 1=27.47 N T 2=1 8.64N

4
T 1=(3400 ×10−3)9.81 T 2=( 3 8 00−11 00 ) × 10−3 ×9.81
T 1=37.28 N T 2=2 6 . 49N

5
T 1=( 4200 ×10−3 )9.81 T 2=( 4200−1300 ) × 10−3 ×9.81
T 1=41.20 N T 2=28.45N

T 1 15.70 19.62 27.47 3 7.28 41.20

∑( ) = + + + +
T 2 10.79 12.75 18.64 2 6.49 28.45
T1
∑( ) T2
=7.32

T1
T1
∑ ( )
T 2 7. 32 =1.464
( )
T2 average
=
5
=
5

T1
log e =log e 1.4 64
T2
T
log e 1 =0.3 81
T2
At 150 degree

T 1=m 1g T 2=( m1−m2 ) g

1.
T 1=(1 3 00 ×10−3 )9.81 T 2=( 13 00−500 ) ×10−3 × 9.81
T 1=12.75 N T 2=7.85N

2.
T 1=(1 9 00 ×10−3)9.81 T 2=( 1 9 00−700 ) ×10−3 × 9.81
T 1=1 8.64 N T 2=11.77N

3.
T 1=(2 7 00 ×10−3)9.81 T 2=( 27 00−900 ) ×10−3 × 9.81
T 1=2 6.49 N T 2=17.66 N

4
T 1=(3000 ×10−3)9.81 T 2=( 30 00−1100 ) × 10−3 × 9.81
T 1=2 9.43 N T 2=1 8.64N

5
T 1=(3 400× 10−3 )9.81 T 2=( 3 4 00−1300 ) ×10−3 × 9.81
T 1=3 3.35 N T 2=20.60N

T 1 12.75 1 8.04 26.49 2 9.43 3 3.35

∑( ) T2
= + + + +
7.85 11.77 17.66 18.64 20.60
T1
∑( ) T2
=7.91

T1
T1
∑ ( )
T 2 7.91 =1582
( )
T2 average
=
5
=
5

T1
log e =log e 1582
T2
T
log e 1 =0. 459
T2
At 180 degree

T 1=m 1g T 2=( m1−m2 ) g

1.
T 1=(1 1 00× 10−3 )9.81 T 2=( 11 00−500 ) × 10−3 ×9.81
T 1=1 0.79 N T 2=5.89N

2.
T 1=(1500 ×10−3)9.81 T 2=( 1500−700 ) ×10−3 × 9.81
T 1=1 4.72 N T 2=7.85N

3.
T 1=(2 2 00 ×10−3 )9.81 T 2=( 2200−900 ) × 10−3 ×9.81
T 1=21.58 N T 2=12.75N

4
T 1=(2500 ×10−3)9.81 T 2=( 2500−11 00 ) × 10−3 ×9.81
T 1=24.53 N T 2=13.73N

5
T 1=(32 00 ×10−3)9.81 T 2=( 3200−1300 ) ×10−3 × 9.81
T 1=31.39 N T 2=18.64 N

T 1 1 0.79 1 4.72 21.58 24.53 31.39

∑( ) T2
=
5.89
+ + + +
7.85 1 2.75 13.73 18.64
T1
∑( ) T2
=7.32

T1
T1
∑ ( )
T 2 8.87 =1.774
( )
T2 average
=
5
=
5

T1
log e =log e 1.774
T2
T
log e 1 =0.571
T2
For table 5.3 Test2
a) Flat belt (same T 1∧T 2 at Test 1 at θ=90 degree)

No T 1- T 2 (based onT 1∧T 2 at Test 1 at θ=90 degree)

1 T 1- T 2 = 15.70-10.79 = 4.91N

2 T 1- T 2 = 19.62-12.75 = 6.87N

3 T 1- T 2 = 25.51-16.68 = 8.83N

4 T 1- T 2 = 33.35-22.56 = 10.79N

5 T 1- T 2 = 19.62-12.75 = 6.87N

b) V-belt large groove,

No T1 T2 T 1- T 2

(7 00 ×10−3)9.81 ( 7 00−500 ) × 10−3 ×9.81

1 6.87-1.96 = 4.91N
= 6.87N = 1.96N
(9 00 ×10−3)9.81 ( 9 00−700 ) × 10−3 ×9.81
2 8.83-1.96 = 6.87N
= 8.83N =1.96N
(12 00 ×10−3 )9.81 ( 1 200−900 ) ×10−3 × 9.81
3 11.77-2.94 = 8.83N
= 11.77N =2.94N
(14 00 × 10−3 )9.81 ( 14 00−11 00 ) ×10−3 × 9.81
4 13.73-2.94 = 10.79N
= 13.73N =2.94N
(16 00 ×10−3)9.81 ( 16 00−1300 ) × 10−3 ×9.81
5 15.30-2.94 = 12.76N
= 15.70N =2.94N
c) V-belt with correct/fit groove

No T1 T2 T 1- T 2

(6 00 ×10−3)9.81 ( 6 00−500 ) × 10−3 ×9.81

1 5.89-0.98 = 4.91N
= 5.89N = 0.98N
(85 0 ×10−3)9.81 ( 850−700 ) × 10−3 ×9.81
2 8.34-1.47 = 6.87N
= 8.34N =1.47N
(1 100× 10−3 )9.81 ( 1 100−900 ) ×10−3 × 9.81
3 10.79-1.96 = 8.83N
= 10.79N =1.96N
(1 3 00× 10−3 )9.81 ( 1 3 00−11 00 ) ×10−3 × 9.81
4 12.75-1.96 = 10.79N
= 12.75N =1.96N
(1 5 00× 10−3 )9.81 ( 1 5 00−1300 ) ×10−3 × 9.81
5 14.72-1.96 = 12.76N
= 14.72N =1.96N