Informe Laboratorio 2 Fisica 1
Short Description
Informe Laboratorio 2 Fisica 1...
Description
INDICE VELOCIDAD Y ACELERACION INSTANTANEAS EN EL MOVIMIENTO RECTILINEO RESUMEN...................... RESUMEN.................................. .......................... .......................... ......................... ......................... ........................ ................ .... 1. ANTECEDENTE ANTECEDENTES………… S…………………… …………………… …………………… …………………… …………………… …………… … 2. FUNDAMENTO FUNDAMENTOS S TEORICOS… TEORICOS…………… …………………… ……………….. ……..………… …………………… ………….. 3. PARTE PARTE EXPERIMENT EXPERIMENTAL… AL…………… …………………… …………………. ……….………… …………………. ………..…… .…… 3.1MAT 3.1 MATERIALES ERIALES Y EQUIPOS 3.2PROCEDIMIENTO
4. DISCUSIÓN DE RESULTADOS……………………………………….……… 5. CONCLUSION CONCLUSIONES……… ES………………… …………………… …………………… …………………… …………………. ……….……. ……. 6. SUGERENCIA SUGERENCIAS……… S………………… …………………… …………………… …………………… …………………… ………………. ……. 7. BIBLIOGRAF BIBLIOGRAFIA…… IA……………… …………………… …………………… …………………… …………………… …………………. ………...
RESUMEN E !" #$!%!&! #$!%!&! &$'(')* !+#!$,-!&'" !+#!$,-!&'" %! !%#!$' !&!$-,'$ !&!$-,'$ "' /!"*0,' /!"*0,' ,%&'&!' ,%&'&!' ! 0!$#* ! -*/,-,!&* $!0&,"!* ' #'$&,$ ! "' ,*$-'0, #*%,0, /% &,!-#* !&!$-,'$ "' '0!"!$'0, ,%&'&!' ' #'$&,$ ! "' ,*$-'0, /!"*0,' ,%&'&!' /% &,!-#*. P'$' !-#!'$ !" !+#!$,-!&* %! !0!%,&'$ ! 0,!$&*% !"!-!&*%8 0*-* 09,%#!$* !"!0&$,0*8 #!:!;* 0'$$,&* ! -!&'"8 #'#!" !"ES? 1. C9,% C9,%#!$ #!$* * !"! !"!0& 0&$ $, ,0* 0* 2. >!"*0 !"*0, ,' ' ,%& ,%&' '& &! !' ' 3. A0!" A0!"!$ !$'0 '0, , ,%&' ,%&'& & !' !' 4. F$!0!0,'
RESUMEN E !" #$!%!&! #$!%!&! &$'(')* !+#!$,-!&'" !+#!$,-!&'" %! !%#!$' !&!$-,'$ !&!$-,'$ "' /!"*0,' /!"*0,' ,%&'&!' ,%&'&!' ! 0!$#* ! -*/,-,!&* $!0&,"!* ' #'$&,$ ! "' ,*$-'0, #*%,0, /% &,!-#* !&!$-,'$ "' '0!"!$'0, ,%&'&!' ' #'$&,$ ! "' ,*$-'0, /!"*0,' ,%&'&!' /% &,!-#*. P'$' !-#!'$ !" !+#!$,-!&* %! !0!%,&'$ ! 0,!$&*% !"!-!&*%8 0*-* 09,%#!$* !"!0&$,0*8 #!:!;* 0'$$,&* ! -!&'"8 #'#!" !"ES? 1. C9,% C9,%#!$ #!$* * !"! !"!0& 0&$ $, ,0* 0* 2. >!"*0 !"*0, ,' ' ,%& ,%&' '& &! !' ' 3. A0!" A0!"!$ !$'0 '0, , ,%&' ,%&'& & !' !' 4. F$!0!0,'
1. ANTECEDENTES A.
INFORMACIÓN PRE>IA
1.
Conceptos ma matemáticos
F0, $!'" ! /'$,'("! $!'" @ C*)&* ! #'$!% *$!'*% ! -!$*% $!'"!% @+8 &'" :! * !+,%&! *% #'$!% ,!$!&!% :! &!=' "' -,%-' #$,-!$' 0*-#*!&! S! #!! !%0$,(,$ @+ L,-,&! ! ' 0, ! #&* X E% !" /'"*$ '" 0'" %! '#$*+,-' "' /'$,'("! !#!,!&! @+ 0'* "' /'$,'("! ,!#!,!&! X %! '#$*+,-' ' X . A"='% A"='% /!0!% * !+,%&!. R' ! 0'-(,* ! ' 0, ! ,&!$/'"* @X 18 X2 $@X18X2 @X2 @X1 X2 X1
F0, $' ! 0'-(,* ! ' 0, '"$!!*$ ! #&* X C*)&* ! #'$!% *$!'*% @+8$@X8X8 *! $@X8X !%& !,,* #*$ $@X8X @+ @X
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F0, !$,/'' E% !" 0*)&* ! #'$!% *$!'*% X8@X D*! X !% 0'":,!$ -!$* $!'" %*($! !" 0'" !%& !,,' "' 0, @X !% !" 0*$$!%#*,!&! %!=* !"!-!&* *(&!,* ! '0!$* ' "' !0'0, 3. S!=' !$,/'' @ E% "' 0, !$,/'' ! "' 0,
2.
CONCEPTOS ISICOS
F0, #*%,0, @E -*/,-,!&* $!0&,"!* E% !" 0*)&* ! #'$!% *$!'*%. @&8 +@& D*! & !% !" &,!-#* &$'%0$$,* !%! ,%&'&! ,)'* 0*/!0,*'"-!&! 0*-* & +@& !% "' #*%,0, ! !" ,%&'&! &8 $!%#!0&* ' #&* &*-'* 0*/!0,*'"-!&! 0*-* +. >!"*0,' -!,' ! ,&!$/'"* ! &,!-#* @& 18 &2 >-@&18&2 +@&2 +@&1 &2 H &1 @C*-#'$'$ 0* !" 0*0!#&* $' ! 0'-(,*8 !0'0, @1 F0, /!"*0,' -!,' '"$!!*$ ! ,%&'&! & E% !" 0*)&* ! #'$!% *$!'*% @&8 >-@& 8&8 *!? >-@&8& +@& +@& & & @C*-#'$'$ 0* !" 0*0!#&* 0, $' ! 0'-(,*. >!"*0,' ,%&'&!' ! ,%&'&! & E% !" "-,&! ! "' 0, /!"*0,' -!,' '"$!!*$ !" ,%&'&! & 8 @&8 >-@&8&8 0'* & %! '#$*+,-' ' & . >@& L,- +@&H+@& +HJX & H & @C*-#'$'$ 0* !" 0*0!#&* !$,/'' ! #&*.
F0, /!"*0,' ,%&'&!' E% !" 0*)&* ! #'$!% *$!'*% *! & !%,=' ,%&'&! >@& !% "' /!"*0,' ! !%! ,%&'&! *(&!,' ! '0!$* ' "' !0'0, @6@O(%!$/! :! "' 0, /!"*0,' ,%&'&!' /,!! ' %!$ "' !$,/'' ! "' 0, #*%,0,. > & 8 >@&
A0!"!$'0, -!,' ! ,&!$/'"* ! &,!-#* @&18&2 '- @&18&2 >2 >1 &2 &1 F0, '0!"!$'0, -!,' '"$!!*$ ! ,%&'&! & E% !" 0*)&* ! #'$!% *$!'*% @&8 ' -@&8&8 *!? '- @&8& >@& >@& & & A0!"!$'0, ,%&'&!' ! !" ,%&'&! &
E% !" "-,&! ! "' 0, '0!"!$'0, -!,' '"$!!*$ !" ,%&'&! & 8 0'* & %! '#$*+,-' ' & . '- @& L,- >@& >@& &HJ& & H & F0, '0!"!$'0, ,%&'&!' E% !" 0*)&* ! #'$!% *$!'*% *! & !%,=' ,%&'&! '@& !% "' '0!"!$'0, ! !%! ,%&'&! ! '0!$* ' "' !0'0, @. E% "' 0, !$,/'' ! "' 0, /!"*0,' ,%&'&!'. ' @&8 '@&
!. DESCRIPCION E"PERIMENTO#
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En e$ tiempo t%12 tic's.
T
X(t)
1 2
0.71 1.66
3 4 5
2.61 3.71 5.05
6 7 8
6.61 8.36 10.33
9 10
12.51 14.86
(X(t)X('))(t') 1.7563636 36 1.837 1.9355555 56 2.04 2.14 2.2366666 67 2.334 2.425 2.5066666 67 2.585
11
17.31
2.72
12
20.03
T
X(t)
13 14
23.11 26.31
15 16 17
29.83 33.53 37.59
18 19 20
41.81 46.21 50.96
21 22
55.82 61.03
23
66.38
24
71.94
(X(t)X('))(t') 3.08 3.14 3.2666666 67 3.375 3.512 3.63 3.74 3.86625 3.9766666 67 4.1 4.2136363 64 4.3258333 33
12
10
8
Ais Tit$e
6
4
2
0 0
5
10
15
20
25
30
Ais Tit$e
>!"*0,' ,%&'&!'? 2.
En e$ tiempo t%1( tic's.
T
X(t)
1
0.71
2
1.66
3 4
2.61 3.71
(X(t)X('*))(t'*) 2.188 2.2764285 71 2.3784615 38 2.485
T
X(t)
13
23.11
(X(t)X('*))(t'*) 3.4733333 33
14
26.31
3.61
15 16
29.83 33.53
3.7
5 6
5.05 6.61
7 8
8.36 10.33
9
12.51
10
14.86
2.5890909 09 2.692 2.7966666 67 2.9 3.0028571 43 3.1116666 67
11 12
17.31 20.03
3.244 3.375
17 18
37.59 41.81
19 20
46.21 50.96
21
55.82
22
61.03
23 24
66.38 71.94
4.06 4.14 4.2266666 67 4.3575 4.458 4.5833333 33 4.6928571 43 4.80125
12
10
8
#e$oci%&% me%i&
6
4
2
0 0
5
10
15
Tiempo (tic"s)
>!"*0,' ,%&'&!'? 3.
20
25
30
Ve$oci)a) en e$ tiempo t%2* tic's.
T
X(t)
1
0.71
2
1.66
3 4
2.61 3.71
5
5.05
6
6.61
7
8.36
8
10.33
9 10
12.51 14.86
11 12
17.31 20.03
(X(t)X(+))(t+) 2.6447368 42 2.7388888 89 2.8441176 47 2.953125 3.0606666 67 3.1678571 43 3.2769230 77 3.3858333 33 3.4954545 45 3.61 3.7388888 89 3.86625
(X(t)X(+))(t+) 3.9785714 29 4.1083333 33
T
X(t)
13
23.11
14
26.31
15 16
29.83 33.53
17
37.59
4.226 4.3575 4.4566666 67
18
41.81
4.575
19
46.21
4.75
20
50.96
21 22
55.82 61.03
4.86 5.035
23 24
66.38 71.94
5.14 5.245
12 10 8
#e$oci%&% me%i&
6 4 2 0 0
5
10
15
20
25
30
Tiempo (tic"s)
>!"*0,' ,%&'&!'? 4.5
Ve$oci)a) en e$ tiempo t%2+ tic's.
T
X(t)
1
0.71
2
1.66
3 4
2.61 3.71
(X(t)X(!))(t!) 3.0969565 22 3.1945454 55 3.3014285 71 3.4115
T
X(t)
13
23.11
14
26.31
15 16
29.83 33.53
(X(t)X(!))(t!) 4.4390909 09 4.563 4.6788888 89 4.80125
5
5.05
6 7 8
6.61 8.36 10.33
9
12.51
10
14.86
11
17.31
12
20.03
3.5205263 16 3.6294444 44 3.74 3.850625 3.962 4.0771428 57 4.2023076 92 4.3258333 33
17
37.59
18 19 20
41.81 46.21 50.96
21
55.82
4.9071428 57 5.0216666 67 5.146 5.245 5.3733333 33
22
61.03
5.455
23
66.38
5.56
24
71.94
12 10 8
#e$oci%&% me%i&
6 4 2 0 0
5
10
15
20
Tiempo (tic"s)
>!"*0,' ,%&'&!'? NO SE PUEDE DETERMINAR.
25
30
D.
ACELERACIÓN INSTANTNEA
Ace$e,aci-n en e$ tiempo t%+ tic's.
T
X(t)
#(t)
(#(t)#(!))(t!)
1
0.71
1.42
0.145
2
1.66
1.66
0.0975
3
2.61
1.74
0.115
4
3.71
1.855
5
5.05
6
6.61
7
8.36
8
10.33
2.5825
9 1 0 1 1 1 2
12.51
2.78
14.86 17.31 20.03
2.02 0.165 2.20333 0.174166 333 667 2.38857 0.177857 143 143 0.181875
0.185 0.186166 2.972 667 3.14727 0.184610 273 39 3.33833 0.185416 333 667
T 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 0 2 1 2 2 2 3 2 4
66.38
5.096 5.31619 048 5.54818 182 5.77217 391
(#(t)#(!))(t!) 0.188931 624 0.190357 143 0.192939 394 0.194687 5 0.197488 688 0.199325 397 0.200614 035 0.202562 5 0.203599 44 0.205176 768 0.206167 048
71.94
5.995
0.207
X(t) 23.11 26.31 29.83 33.53 37.59 41.81 46.21 50.96 55.82 61.03
#(t) 3.55538 462 3.75857 143 3.97733 333 4.19125 4.42235 294 4.64555 556 4.86421 053
12 10 8
&ce$e&cion me%i&
6 4 2 0 0
5
10
15
20
25
30
tiempo
A0!"!$'0, ,%&'&!'? .14
Ace$e,aci-n en e$ tiempo t%& tic's.
T
X(t)
#(t)
1
0.71
1.42
2
1.66
1.66
3
2.61
1.74
4
3.71
1.855
(#(t)#(8))(t8) T 0.166071 1 429 3 1 0.15375 4 1 0.1685 5 1 0.181875 6
X(t)
29.83
#(t) 3.55538 462 3.75857 143 3.97733 333
33.53
4.19125
23.11 26.31
(#(t)#(8))(t8) 0.194576 923 0.196011 905 0.199261 905 0.201093 75
5
5.05
6
6.61
7
8.36
8
10.33
2.5825
9 1 0 1 1 1 2
12.51
2.78
14.86 17.31 20.03
2.02 0.1875 2.20333 0.189583 333 333 2.38857 0.193928 143 571
0.1975
2.972 0.19475 3.14727 0.188257 273 576 3.33833 0.188958 333 333
1 7 1 8 1 9 2 0 2 1 2 2 2 3 2 4
37.59 41.81 46.21 50.96 55.82 61.03 66.38 71.94
4.42235 0.204428 294 105 4.64555 0.206305 556 556 4.86421 0.207428 053 23 0.209458 5.096 333 5.31619 0.210283 048 883 5.54818 0.211834 182 416 5.77217 0.212644 391 928 0.213281 5.995 25
12 10 8
&ce$e&cion me%i&
6 4 2 0 0
5
10
15
tiempo
A0!"!$'0, ,%&'&!'? .175142
20
25
30
Ace$e,aci-n en e$ tiempo t%12 tic's.
T
X(t)
1
0.71
2
1.66
3
2.61
4
3.71
5
5.05
6
6.61
7
8.36
8
10.33
9 1 0 1 1 1 2
12.51 14.86 17.31 20.03
(#(t)#('))(t#(t) ') 0.1743939 1.42 39 0.1678333 1.66 33 0.1775925 1.74 92 0.1854166 1.855 66 0.1883333 2.02 33 2.20333 0.1891666 333 66 2.38857 0.1899523 143 8 0.1889583 2.5825 33 0.1861111 2.78 1 0.1831666 2.972 65 3.14727 0.1910606 273 03 3.33833 333
T 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 0 2 1 2 2 2 3 2 4
X(t) 23.11 26.31 29.83 33.53 37.59 41.81 46.21 50.96
#(t) 3.55538 462 3.75857 143 3.97733 333 4.19125 4.42235 294 4.64555 556 4.86421 053
66.38
5.096 5.31619 048 5.54818 182 5.77217 391
71.94
5.995
55.82 61.03
(#(t)#('))(t') 0.2170512 85 0.2101190 49 0.2130000 01 0.2132291 68 0.2168039 22 0.2178703 71 0.2179824 57 0.2197083 34 0.2197619 05 0.2209848 49 0.2212582 35 0.2213888 89
12 10 8
&ce$e&cion me%i&
6 4 2 0 0
5
10
15
20
25
30
tiempo
A0!"!$'0, ,%&'&!'? .24554
Ace$e,aci-n en e$ tiempo t%1( tic's.
T
X(t)
#(t)
1
0.71
1.42
2
1.66
1.66
3 4
2.61 3.71
1.74 1.855
(#(t)#('*))(t'*) T 1 0.18475 3 0.1808035 1 71 4 0.1885576 1 92 5 0.1946875 1
X(t) 23.11 26.31 29.83 33.53
(#(t)#('*))(t#(t) '*) 3.55538 0.2119551 462 28 3.75857 0.2163392 143 86 3.97733 0.2139166 333 67 4.19125
5
5.05
6
6.61
7
8.36
2.02 2.20333 333 2.38857 143
8
10.33
2.5825
9 1 0 1 1 1 2
12.51
2.78
14.86
2.972 3.14727 273 3.33833 333
17.31 20.03
0.1973863 64 0.1987916 67 0.2002976 19 0.2010937 5 0.2016071 43 0.2032083 33 0.2087954 55 0.2132291 67
6 1 7 1 8 1 9 2 0 2 1 2 2 2 3 2 4
37.59 41.81 46.21 50.96
4.42235 0.2311029 294 41 4.64555 0.2271527 556 78 4.86421 0.2243201 053 75
66.38
5.096 5.31619 048 5.54818 182 5.77217 391
71.94
5.995
55.82 61.03
0.2261875 0.2249880 95 0.2261553 03 0.2258462 73 0.2254687 5
12
10
8
&ce$e&cion me%i&
6
4
2
0 0
5
10
15
tiempo
20
25
30
A0!"!$'0, ,%&'&!'? .2225
Ace$e,aci-n en e$ tiempo t%2* tic's.
T
X(t)
#(t)
1
0.71
1.42
2
1.66
1.66
3
2.61
1.74
4
3.71
1.855
5
5.05
6
6.61
7
8.36
8
10.33
9 1 0 1 1 1 2
12.51 14.86 17.31 20.03
(#(t)#(+))(t+) 0.1934736 84 0.1908888 89 0.1974117 65
0.2025625 0.2050666 2.02 67 2.20333 0.2066190 333 48 2.38857 0.2082637 143 36 0.2094583 2.5825 33 0.2105454 2.78 55 2.972 0.2124 3.14727 0.2165252 273 53 3.33833 0.2197083 333 33
T 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 0 2 1 2 2 2 3 2 4
X(t) 23.11 26.31 29.83 33.53 37.59 41.81 46.21 50.96 55.82 61.03 66.38 71.94
(#(t)#(+))(t#(t) +) 3.55538 0.2200879 462 12 3.75857 0.2229047 143 62 3.97733 0.2237333 333 33 4.19125 4.42235 294 4.64555 556 4.86421 053
0.2261875 0.2245490 2 0.2252222 22 0.2317894 74
5.096 5.31619 0.2201904 048 76 5.54818 0.2260909 182 09 5.77217 0.2253913 391 04 5.995
0.22475
12 10 8
&ce$e&cion me%i&
6 4 2 0 0
5
10
15
20
25
30
tiempo
A0!"!$'0, ,%&'&!'? .225
Ace$e,aci-n en e$ tiempo t%2+ tic's.
T
X(t)
#(t)
1
0.71
1.42
2 3
1.66 2.61
1.66 1.74
(#(t)#(!))(t!) 0.1989130 43 0.1970454 55 0.2026190
T 1 3 1 4 1
X(t) 23.11 26.31 29.83
(#(t)#(!))(t#(t) !) 3.55538 0.2217832 462 17 3.75857 0.2236428 143 57 3.97733 0.2241851
48 4
3.71
1.855
5
5.05
6
6.61
7
8.36
2.02 2.20333 333 2.38857 143
8
10.33
2.5825
9 1 0 1 1 1 2
12.51
2.78
14.86
2.972 3.14727 273 3.33833 333
17.31 20.03
0.207 0.2092105 26 0.2106481 48 0.2121428 57 0.2132812 5 0.2143333 33 0.2159285 71 0.2190559 44 0.2213888 89
5 1 6 1 7 1 8 1 9 2 0 2 1 2 2 2 3 2 4
333 33.53 37.59 41.81 46.21 50.96 55.82 61.03 66.38 71.94
4.19125 4.42235 294 4.64555 556 4.86421 053
85 0.2254687 5 0.2246638 66 0.2249074 07 0.2261578 95
5.096 0.22475 5.31619 0.2262698 048 41 5.54818 0.2234090 182 91 5.77217 0.2228260 391 87 5.995
12 10 8
&ce$e&cion me%i&
6 4 2 0 0
5
10
15
20
25
30
tiempo
A0!"!$'0, ,%&'&!'? NO SE PUEDE DETERMINAR.
2. UNDAMENTOS TERICOS Desp$a/amiento0 tiempo e$oci)a) me)ia S#*=' :! ' #,"*&* ! '&*% ! '$$'0*!% 0*0! % /!90"* #*$ ' #,%&' $!0&' @F,=$' 2.1. P'$' !%&,'$ % -*/,-,!&*8 !0!%,&'-*% %,%&!-' ! 0**$!''%. E"!=,-*% :! !" !)! /'' ' "* "'$=* ! "' &$'!0&*$,' $!0&' !" '&*8 0* !" *$,=! O ! "' "!' ! %'",'. T'-(, @& !% "' /!"*0,' ! !%! ,%&'&! *(&!,' %!' 0!$* ' "' !0. @6 @O(%!$/! :! "' 0, /!"*0,' ,%&'&!' /,!! ' %!$ "' !$,/'' ! "' 0, #*%,0,. A0!"!$'0, -!,' ! ,&!$/'"* ! &,!-#* @&18 &2
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