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Zadatak 6. Vazdušni kazan α= 9.1 β= 8.9 Početni uslovi: 1m 35. 58m 5m 35. 58m m !. " m 1m 5m !.!5m 1.5 #t= 1s !. m $onst.= 6.3 %= !.!3 &= !!! m '= 3"".(5 )= (("6.( "".5l*s += 1983!."5 !. a= 1!!! m*s !.!31 1."16 m*s !.(85 !.!!! , - = , 1 = , ' = ,  ! =, 1 = /  = , = 0  = , 3 =, ' = 0 P = P = 0 2 = ! = V ! = m 3 - 2 = m V ! = -  = m - P = m 3
15

hidraulika vezba 6

Feb 23, 2018

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Ljupka Vukic
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Page 1: hidraulika vezba 6

7/24/2019 hidraulika vezba 6

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Zadatak 6. Vazdušni kazan

α= 9.1β= 8.9

Početni uslovi:

1 m 35.58m

5 m 35.58m

m !."m

1 m 5 m

!.!5 m

1.5

#t= 1 s

!.m $onst.= 6.3

%= !.!3

&= !!! m

'= 3"".(5

)= (("6.(

"".5 l*s += 1983!."5

!.

a= 1!!! m*s

!.!31

1."16m*s

!.(85

!.!!!

,-= ,

1=

,'= ,

 !=,

1=

/ = ,

=

0 = ,

3=,

'=

0P=

P=

02=

!=

V!= m3

-2= m

V!=

- = m

-P= m3

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n t4 4s 4m 4m 4m 4m

! ! !.! "3.58 35.58 ! !.!"5 35.58 !.!"5 !."

1 1 !.! "3.58 35.58 1!8.81 !.!36 !.!36 9.3! 16".63 1".!5 !.!"" !.9 1"9.9

!." 35.65 1.95 (.61 1!8.( !.!35 !.!35 3.(( 11(.15 13.9( !.!3( 3."1 1"9.3!

3 3 !.( 3!.5 1.91 .16 113.8 !.!3" !.!3" 1."1 1!6.96 13.98 !.!36 8.51 1!6."6

" " !.31 6.1 1.8( 18.!( 11".1( !.!3" !.!3" ".56 1!1.5 88.88 !.!9 6.19 9(.15

5 5 !.3" 3.11 1.8 1".93 8.3 !.!6 !.!6 1.6( 96.1 8!.9! !.!( (.66 9".6!

6 6 !.3( 1.16 1.(9 1.95 (5.13 !.!" !.!" 1.8! 8!.39 (8.(! !.!5 !.85 9!.""

( ( !.39 19.6 1.(6 11.38 (".!" !.!3 !.!3 !.8 (".38 (5.!( !.!3 !.35 (5.("

8 8 !."1 18.31 1.(3 1!.!" (!.96 !.! !.! !."" (1.56 6.!6 !.!1 ".(5 (!.(

9 9 !."3 1(.! 1.(! 8.9! 58.(( !.!19 !.!19 1.96 68.!9 5(.13 !.!19 5."8 68.8

1! 1! !."5 16.35 1.68 8.!3 5".5 !.!1( !.!1( .!6 59.9( 55.33 !.!18 .3 65.!

11 11 !."( 15.63 1.66 (.8 5.89 !.!1( !.!1( 1.68 56.!3 5.5" !.!1( 1.(5 5(.53

1 1 !."9 1".98 1.63 6.6 5!.3( !.!16 !.!16 1.5" 5".!5 "5.5! !.!15 ".8 53.86

13 13 !.5! 1"."1 1.61 6.!3 "3.6( !.!1" !.!1" .!8 51."( ".11 !.!1" ".68 5.3

1" 1" !.5 13.9" 1.6! 5.5" "!.5! !.!13 !.!13 .1 "6.3! "!.59 !.!13 .86 "9.86

15 15 !.53 13.53 1.58 5.11 39.! !.!13 !.!13 1.9 "3."! 38.38 !.!13 .51 "".91

16 16 !.5" 13.15 1.56 ".(1 3(.15 !.!1 !.!1 1.85 "1.8! 33.(" !.!1 ".!3 ".1(

1( 1( !.55 1.81 1.55 ".36 3.69 !.!11 !.!11 .!8 39.(3 31.15 !.!11 ".9 "!.(518 18 !.5( 1.5 1.53 ".!5 3!.3 !.!1! !.!1! .!9 35.96 9.81 !.!1! 3.!8 38.81

19 19 !.58 1.6 1.5 3.(8 9.! !.!1! !.!1! 1.9( 33.63 (.96 !.!!9 .83 35.1(

! ! !.59 1.! 1.51 3.53 (.( !.!!9 !.!!9 1.9 3.5 ".5! !.!!9 3.88 3.93

1 1 !.59 11.8! 1.5! 3.3! 3.9! !.!!8 !.!!8 .!3 3!."9 .36 !.!!8 ".!6 31.66

!.6! 11.61 1."9 3.1! 1.85 !.!!( !.!!( .!3 (."8 1.1" !.!!( 3.1( 9.98

3 3 !.61 11."5 1."8 .9 !.(! !.!!( !.!!( 1.96 5."8 19.5 !.!!( .98 (.!"

" " !.6 11.9 1."( .(6 19.1" !.!!6 !.!!6 1.9 "." 16.68 !.!!6 3.(8 5.11

5 5 !.6 11.15 1."6 .61 16.38 !.!!6 !.!!6 1.98 .6( 1".81 !.!!6 3.93 3.93

6 6 !.63 11.!3 1."5 ."8 1".56 !.!!5 !.!!5 1.9( !.!8 13.6( !.!!5 3.1 ."1

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( ( !.63 1!.9 1."5 .3( 13."6 !.!!5 !.!!5 1.9 18.9 1.18 !.!!5 3.!5 19.8(

8 8 !.6" 1!.83 1."" .( 1.!1 !.!!" !.!!" 1.9! 1(.1" 9.(1 !.!!" 3.(1 18.1

9 9 !.6" 1!.(" 1."" .18 9.58 !.!!" !.!!" 1.93 15.68 (.99 !.!!" 3.8" 1(.!!

3! 3! !.65 1!.6( 1."3 .1! (.89 !.!!3 !.!!3 1.9 13.33 6.9! !.!!3 3. 15.5(

31 31 !.65 1!.61 1."3 .!" 6.8 !.!!3 !.!!3 1.89 11.66 5."9 !.!!3 3.!8 13.5

3 3 !.65 1!.56 1." 1.98 5."" !.!! !.!! 1.88 1!.55 3.! !.!! 3.6( 11.6!

33 33 !.65 1!.51 1." 1.93 3.1( !.!! !.!! 1.89 9.16 1.5( !.!! 3.(9 1!.5

3" 3" !.66 1!."8 1." 1.9! 1.55 !.!!1 !.!!1 1.88 6.9 !.5! !.!!1 3.1 9.1"

35 35 !.66 1!."6 1." 1.88 !."9 !.!!1 !.!!1 1.8( 5.3! !.88 !.!!1 3.!9 6.91

36 36 !.66 1!."5 1." 1.8( !.88 !.!!! !.!!! 1.86 ". 3.!9 !.!!! 3.66 5.3!

3( 3( !.66 1!."" 1." 1.86 3.!9 !.!!! !.!!! 1.86 .85 ".(! !.!!! 3.(( ".

38 38 !.66 1!."5 1." 1.8( ".(! !.!!1 !.!!1 1.88 !.6" 5.(8 !.!!1 3.1 .85

39 39 !.66 1!."( 1." 1.89 5.(( !.!!1 !.!!1 1.91 !.93 (.15 !.!!1 3.11 !.6"

"! "! !.66 1!."9 1." 1.91 (.1" !.!! !.!! 1.96 1.9" 9.3" !.!! 3.(! !.9

"1 "1 !.65 1!.5 1." 1.9" 9.3 !.!! !.!! .!" 3.! 1!.89 !.!! 3.85 1.91" " !.65 1!.56 1."3 1.99 1!.86 !.!!3 !.!!3 .13 5.! 11.88 !.!!3 3.3" 3.16

"3 "3 !.65 1!.6 1."3 .!" 11.8 !.!!3 !.!!3 . 6.5" 13.11 !.!!3 3.9 5.15

"" "" !.65 1!.6( 1."3 .11 13.!" !.!!3 !.!!3 .3 (.3 15.!( !.!!3 3.8( 6."(

"5 "5 !.6" 1!.(" 1."" .18 1".98 !.!!" !.!!" ."( 8.31 16.3( !.!!" ".!3 (.3

"6 "6 !.6" 1!.8 1."" .6 16.6 !.!!" !.!!" .61 9.9 1(.1 !.!!" 3.6! 8.!

"( "( !.63 1!.9! 1."5 .35 16.98 !.!!" !.!!" .(3 1!.9! 18.!( !.!!" 3.59 9.(9

"8 "8 !.63 11.!! 1."5 ."5 1(.9 !.!!5 !.!!5 .8( 11.3( 19.6 !.!!5 ".13 1!.("

"9 "9 !.63 11.!9 1."6 .55 19."5 !.!!5 !.!!5 3.!6 1.!! !.56 !.!!5 ".8 11.19

5! 5! !.6 11.! 1."6 .6( !.3( !.!!5 !.!!5 3. 13.13 1.!! !.!!5 3.93 11.81

51 51 !.6 11.3 1."( .(9 !.(8 !.!!5 !.!!5 3.36 13.(1 1.6! !.!!5 3.9" 1.95 5 !.61 11."" 1."8 .9 1.3( !.!!6 !.!!6 3.5 13.8" .68 !.!!6 "." 13."8

53 53 !.6! 11.56 1."9 3.!5 ."" !.!!6 !.!!6 3.(1 1".1! 3.3 !.!!6 ".56 13.59

5" 5" !.6! 11.(! 1."9 3.19 .9( !.!!6 !.!!6 3.88 1".(6 3.3" !.!!6 ".9 13.85

55 55 !.59 11.8" 1.5! 3.3" 3.!( !.!!6 !.!!6 ".! 1".95 3.59 !.!!6 ".3 1".5!

56 56 !.59 11.98 1.51 3."9 3.31 !.!!6 !.!!6 ".18 1".(( ". !.!!6 ".(3 1".68

5( 5( !.58 1.1 1.5 3.6" 3.9" !.!!6 !.!!6 ".36 1".69 "."! !.!!6 ".85 1"."9

58 58 !.5( 1.8 1.5 3.8! ".11 !.!!6 !.!!6 ".5 1".93 ".1 !.!!6 ".6" 1"."1

59 59 !.5( 1."3 1.53 3.96 3.93 !.!!6 !.!!6 ".66 1".(9 ".13 !.!!6 ".6( 1".65

6! 6! !.56 1.59 1.5" ".13 3.86 !.!!6 !.!!6 ".81 1".33 ".3( !.!!6 5.! 1".51

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61 61 !.56 1.(5 1.55 ".3! ".!9 !.!!6 !.!!6 ".98 13.96 ".3 !.!!6 5.13 1".!5

6 6 !.55 1.91 1.55 "."( 3.96 !.!!6 !.!!6 5.13 13.86 3.(8 !.!!6 ".96 13.(!

63 63 !.55 13.!8 1.56 ".6" 3.5 !.!!6 !.!!6 5.( 13."3 3."" !.!!6 5.!! 13.6!

6" 6" !.5" 13." 1.5( ".81 3.19 !.!!5 !.!!5 5."1 1.(" 3.3" !.!!6 5.3! 13.18

65 65 !.53 13."1 1.5( ".98 3.1! !.!!5 !.!!5 5.56 1.1" .9" !.!!5 5."! 1.5!

66 66 !.53 13.5( 1.58 5.15 .(1 !.!!5 !.!!5 5.(! 11.(6 .8 !.!!5 5.6 11.9

6( 6( !.5 13.(3 1.59 5.3 .!( !.!!5 !.!!5 5.8 11.1! 1.(1 !.!!5 5.3! 11.5"

68 68 !.5 13.89 1.59 5."9 1.51 !.!!5 !.!!5 5.9" 1!.3 1.3" !.!!5 5.55 1!.9!

69 69 !.51 1".!5 1.6! 5.65 1.16 !.!!5 !.!!5 6.!8 9."" !.( !.!!5 5.6" 1!.!5

(! (! !.51 1".! 1.61 5.81 !.55 !.!!" !.!!" 6.! 8.83 19.88 !.!!" 5.5 9.8

(1 (1 !.5! 1".35 1.61 5.96 19.(3 !.!!" !.!!" 6.3! 8.!! 19.13 !.!!" 5.56 8.68

( ( !.5! 1".5! 1.6 6.11 18.99 !.!!" !.!!" 6."1 6.99 18.5" !.!!" 5.(8 (.8(

(3 (3 !.5! 1".63 1.6 6.5 18." !.!!" !.!!" 6.5 6.!5 1(.(5 !.!!" 5.85 6.8(

(" (" !."9 1".(6 1.63 6.39 1(.6" !.!!3 !.!!3 6.6 5.8 16.(( !.!!3 5.(" 5.95

(5 (5 !."9 1".89 1.63 6.5 16.68 !.!!3 !.!!3 6.(! ".3 15.86 !.!!3 5.(( 5.19(6 (6 !."9 15.!! 1.6" 6.63 15.(8 !.!!3 !.!!3 6.(9 3.! 15.11 !.!!3 5.96 "."

(( (( !."8 15.1! 1.6" 6.(" 15.!5 !.!!3 !.!!3 6.8( .15 1".18 !.!!3 6.!1 3.13

(8 (8 !."8 15.! 1.6" 6.8" 1".13 !.!! !.!! 6.9" 1.( 13.!9 !.!! 5.91 .1!

(9 (9 !."8 15.8 1.6" 6.93 13.!5 !.!! !.!! 6.99 !. 1.!( !.!! 5.9 1.3

8! 8! !."8 15.35 1.65 (.!! 1.!" !.!! !.!! (.!5 !.9( 11.! !.!! 6.!9 !.19

81 81 !."8 15."1 1.65 (.!6 11.18 !.!!1 !.!!1 (.!9 .!( 1!.1( !.!!1 6.1 !.99

8 8 !."( 15."6 1.65 (.11 1!.16 !.!!1 !.!!1 (.13 3.!1 9.!! !.!!1 6.!1 .!8

83 83 !."( 15.5! 1.65 (.15 8.99 !.!!1 !.!!1 (.16 ".1! (.91 !.!!1 6.!1 3.!

8" 8" !."( 15.5 1.65 (.1( (.91 !.!!! !.!!! (.1( 5.3 6.98 !.!!! 6.15 ".11

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4m

!.!"5 5

!.!"" 5

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Zadatak 6. Vazdušni kazan

α= 9.1β= 8.9

Početni uslovi:

1 m 35.58m

5 m 35.58m

m !."m

1 m 5 m

!.!5 m

1.5

#t= 1 s

!.m $onst.= 6.3

%= !.!3

&= !!! m

'= 3"".(5

)= (("6.(

"".5 l*s += 1983!."5

!.a= 1!!! m*s

!.!31

1."16m*s

!.(85

!.!!!

,-= ,

1=

,'= ,

 !=,

1=

/ = ,

=

0 = ,

3=,

'=

0P=

P=

02=

!=

V!= m3

-2= m

V!=

- = m

-P= m3

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n t

4 4s 4m 4m 4m 4m

! ! !.! "3.58 35.58 ! !.!"5 35.58 !.!"5 !."1 1 !.! "3.58 35.58 1!8.81 !.!36 !.!36 9.3! 16".63 1".!5 !.!"" !.9 1"9.9

!." 35.65 1.95 (.61 1!8.( !.!35 !.!35 3.(( 11(.15 13.9( !.!3( 3."1 1"9.3!

3 3 !.( 3!.5 1.91 .16 113.8 !.!3" !.!3" 1."1 1!6.96 13.98 !.!36 8.51 1!6."6

" " !.31 6.1 1.8( 18.!( 11".1( !.!3" !.!3" ".56 1!1.5 88.88 !.!9 6.19 9(.15

5 5 !.3" 3.11 1.8 1".93 8.3 !.!6 !.!6 1.6( 96.1 8!.9! !.!( (.66 9".6!

6 6 !.3( 1.16 1.(9 1.95 (5.13 !.!" !.!" 1.8! 8!.39 (8.(! !.!5 !.85 9!.""

( ( !.39 19.6 1.(6 11.38 (".!" !.!3 !.!3 !.8 (".38 (5.!( !.!3 !.35 (5.("

8 8 !."1 18.31 1.(3 1!.!" (!.96 !.! !.! !."" (1.56 6.!6 !.!1 ".(5 (!.(

59" 59" !.5" 13.!9 1.56 ".65 6.8" !.!!1 !.!!1 ".66 .63 (.!3 !.!!1 ".83 .8!

595 595 !.5" 13.11 1.56 ".6( (.! !.!!1 !.!!1 ".68 ."8 (.! !.!!1 ".8" .63

596 596 !.5" 13.13 1.56 ".(! (.! !.!!1 !.!!1 ".(1 .35 (.36 !.!!1 ".86 ."9

59( 59( !.5" 13.15 1.56 ".( (.36 !.!!1 !.!!1 ".(3 . (.51 !.!!1 ".86 .35

598 598 !.5" 13.18 1.56 ".(" (.5! !.!!1 !.!!1 ".(6 .11 (.6" !.!!1 ".88 .3

599 599 !.5" 13.! 1.5( ".(( (.6" !.!!1 !.!!1 ".(8 .! (.(( !.!!1 ".89 .1

6!! 6!! !.5" 13.3 1.5( ".8! (.(6 !.!!1 !.!!1 ".81 1.9" (.88 !.!!1 ".91 .!

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