6.1.1. ();
= d + 180 Δ
6.1.2. ();
= U ´ sin ´ (60 / V )
6.1.3. (W );
W = U ´ cos + V 蠠 (/)
6.1.4. (t );
t = S / W ´ 60 ()
6.1.5. ( );
= -
.
1. : :
d = 90 1. = d + 180 Δ = 90 + 180 210 10 = 50
U = 36 /.
= 210 2. = U ´ sin ´ 60 / V = sin 50 ´36´ 60 / 230 = + 7
Δ = + 10
V = 230 /. 3. W = U ´ cos + V = cos 50 ´36 + 230 = 253 /.
S = 97 .
4. t = S ´ 60 / W = 97 ´ 60 / 253 = 23 .
= - = 210 7 = 203
2. : :
d = 150 1. = d + 180 Δ = 150 + 180 110 (-8) = 228
U = 40 /.
= 110 2. = U ´ sin ´ 60 / V = sin 228 ´40´ 60 / 220 = - 8
Δ = - 8
V = 220 /. 3. W = U ´ cos + V = cos 228 ´40 + 220 = 193 /.
S = 86 .
4. t = S ´ 60 / W = 86 ´ 60 / 193 = 27 .
5. = - = 110 (- 8) = 118
.
, (U) (U) (U) - , , .
U = U sin a. (2.1)
U = U cos a. (2.2)
U
U
a U ⠠
.1
a ()
(U). 0 90.
|
|
a () :
= d (2.3)
: ;
d .
: () ()
(U).
0
0 180. ;
90 0 90 U (+).
90 180 U (-).
180
0 (360) 180 360. ;
180 270 U (-).
270 90 270 360 U (+).
180
a 젠 . (. 2)
= 0(360)
1 ( 0 90) a =
2 ( 90 180) a = 180 - = 90
270 3 ( 180 270) a = - 180
4 ( 270 360) a = 360 -
= 180
. 2.
a, (U) (U) a.
1.
a | 0 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 |
sin a | 0 | 0,17 | 0,34 | 0,5 | 0,64 | 0,76 | 0,86 | 0,94 | 0,98 | 1 |
cos a | 1 | 0,98 | 0,94 | 0,86 | 0,76 | 0,64 | 0,5 | 0,34 | 0,17 | 0 |
U = U ´ sin a.
U = U ´ cos a.
. a,
, .
: a = 15 sin a = 0,3; cos a = 0,96.
a = 45 sin a = 0,7; cos a = 0,7. ..
(U) (). , 90 , :
= U ´ 60 / V : V - .
V / 60 , :
|
|
= U / . (2.4)
- , ,
. 2.
2.
V / | 180 | 200 | 220 | 240 |
3 | 3,3 | 3,7 | 4 |
2
:
: :
1. V = 175 ÷ 185 /. = U / 3 (2.5)
2. V = 190 ÷ 210 /. = (U / 3) - 1 (2.6)
3. V = 215 ÷ 225 /. = (U / 4) + 1 (2.7)
4. V = 230 ÷ 245 /. = U / 4 (2.8)
:
(2.9) W = V + ( U)
.
1. : :
d = 90 - d - ;
U = 36 /. d = d 180 ( Δ) = 90 +180 10 = 260
= 210 - ();
Δ = + 10 = d = 260 210 = 50 a = 50
V = 230 /. 1 , , U .
- :
U = U ´ sin a = 36 ´ sin 50 ≈ 36 ´ 0,75 ≈ 27 /
U = U ´ cos a = 36 ´ cos 50 = 36 ´ 0,64 ≈ 23 /
W:
= U / 4 = U / 4 = 27 / 4 = 6,75 ≈ + 7
W = V + ( U) = 230 + 23 = 253 /. (.2.9)
2. : :
d = 30 - d - ;
U = 40 /. d = d 180 ( Δ) = 30 +180 + 10 = 220
= 70 - ();
Δ = - 10 = d = 220 70 = 150 a = 30
V = 180 /. 2 , , U .
- :
U = U ´ sin a = 40 ´ sin 30 = 40 ´ 0,5 = 20 /
U = U ´ cos a = 40 ´ cos 30 = 40 ´ 0,86 ≈ 34 /
- W:
= U / 3 = U / 3 = 20 / 3 = 6,66 ≈ + 7
(. 2.5) W = V + ( U) = 180 + 34 = 204 /.
3. : :
d = 180
U = 42 /. d = d 180 ( Δ) = 180 +180 - 5 = 355
= 135 = d = 355 135 = 220 a = 40
Δ = + 5 3 , , U .
V = 200 /.
U = U ´ sin a = 42 ´ sin 40 = 42 ´ 0,64 ≈ 27 / U = U ´ cos a = 42 ´ cos 40 = 42 ´ 0,76 ≈ 32 /
|
|
= U / 3 1 = U / 3 1 = 27 / 3 - 1 ≈ - 8
(.2.6) W = V + ( U) = 200 - 32 = 168 /.
. 1. ,
a . (0.64 ≈ 0,6) ..
2.
a 5. (50 ≈ 45)
a . ( !)
3.
a | 0 | 15 | 30 | 45 | 60 | 75 | 90 |
sin a | 0 | 0,3 | 0,5 | 0,7 | 0,8 | 0,9 | 1 |
cos a | 1 | 0,9 | 0,8 | 0,7 | 0,5 | 0,3 | 0 |
3.
4. : .
d = 170 d = d 180 ( Δ) = 170 +180 - 5 = 345
U = 40 /. = d = 345 110 = 235 a = 55
= 110 3 , , U . (..2)
Δ = + 5 a, (55) 60
V = 185 /. U = U ´ sin a = 40 ´ sin 60 = 40 ´ 0,8 ≈ 32 /
U = U ´ cos a = 40 ´ cos 60 = 40 ´ 0,5 ≈ 20 /
= U / 3 = 32 / 3 ≈ - 11
= U / 3 W = V + ( U) = 185 - 20 = 165 /.
(.2.5)
: 0,9
W 5/., .
5. : .
d = 220 d = d 180 ( Δ) = 220 +180 + 5 = 45
U = 36 /. = d = 45 10 = 35 a = 35
= 10 1 , , U . (..2)
Δ = - 5 a, (35) 30
V = 200 /. U = U ´ sin a = 36 ´ sin 30 = 36 ´ 0,5 ≈ 18 /
U = U ´ cos a = 36 ´ cos 30 = 36 ´ 0,8 ≈ 29 /
= U / 3 1 = 18 / 3 -1 ≈ 5
= U / 3 1 W = V + ( U) = 200 + 29 = 229 /.
(.2.6)
1, W 1 /.
.
(W) , 1 .
W = 200 / --- 0,5 100 .
- , , 1/2.
|
|
W = 200 / --- 20 67 .
- , , 1/3.
W = 200 / --- 15 50 .
- , , 1/4.
..
.
1. : .
W = 185 /. S / W
S = 87 . 87 / 185. 1 / 2.
t =? t = S / W
;
t = S / W = 87 / 92,5 ≈ 87 / 93 = (93 - 6) / 93 = 30 2 = 28 .
: ½, 30
92,5 ≈ 93 . S = 87 .
(93 - 6). ; (93 - 6) /93. 93 30 . 2 .
(6), , 3.
2. : .
W = 210 /. S / W
S = 68 . 68 / 210. 1 / 3.
t =? t = S / W
;
t = S / W = 68 / 70 ≈ 68 / 70 = (70 - 2) / 70 = 20 1 = 19 .
: 1/3 20
70 . S = 68 .
(70 - 2). ; (70 - 2) /70. 70 20 . 1 .
(2), , 3
.
3. : .
W = 168 /. S / W
S = 96 . 96 / 168. 1 / 2.
t =? t = S / W
;
t = S / W = 96 / 84 ≈ (84 + 12) / 84 = 30 + 4 = 34 .
7. .
W.
8.1. (U);
U = W - V
8.2. 10 α;
젠 젠
δ
Ӡ δ
Ϡ
α0
U
3
4 α0 α !!!
5
U V蠠
8.3. 10 (U);
3 α
4
5
U V
8.4. ;
= + ( );
8.5. (δ);
δ = + ( α) 1800 ; (W > V)
δ = - ( α); (W < V)
.
1. : .
|
|
= 900 1. U = W - V = 200 180 = 20 /
= + 50 2. α = + 380 ( 10)
V = 180 / 3. U = 26 / ( 10)
W = 200 / 4. = + ( ) = 90 + 5 = 950
5. δ = + ( α) 1800 = 95 + 38 + 180 = 3130
( .. W > V)
2. : .
= 1200 1. U = W - V = 165 180 = - 15 /
= - 80 2. α = - 590 ( 10)
V = 180 / 3. U = 29 / ( 10)
W = 165 / 4. = + ( ) = 120 - 8 = 1120
5. δ = - ( α) = 112 (- 59) = 1710
( .. W < V)
3. : .
= 1300 1. U = W - V = 168 180 = - 12 /
= + 60 2. α = + 570 ( 10)
V = 180 / 3. U = 23 / ( 10)
W = 168 / 4. = + ( ) = 130 + 6 = 1360
5. δ = - ( α) = 136 - 57 = 790
( .. W < V)
.
d
V U
d
W α
∆U ≈ U α
. 3.
4.2.1. U ; (. 3).
U ≈ ∆U = W - V蠠 (/)
4.2.2. tg α ´ U = sin ´ V, α;
tg α = sin ´ V / U. ..
, sin / 60.
;
α = arc tg ( ⁄ 60 ´ V ⁄ U ) = arc tg ( ´ V): (60 × U).
4.2.3. (U);
U = U / cos a (/).
4.2.4. ( . 3);
- : d = + ( a) 180
- : d = - ( a).
:
1. a - .
2. = + ( ).
.
: :
W = 200 /. 1. U = W - V = 200 180 = 20 /.
V = 180 /
= 80 2. α = arc tg ( ´ V ): (60 × U ). = + 42
= + 6
3. U = U / cos a = 20 / cos 42 = 27 /.
-.
= + ( ). 4. d = + ( a) 180 = 86 + 42 + 180 = 308
.
(.3), .