SW30 @ 1.0 b33. 8w& */2`72`@ WINDOWSw&2`<<xX%w&2`<H@#je 4@$@k :ne divisionsv@ linearCalDistance ףp= ? linearCalDivisionsv@ q Rotational Inertia Rotational Inertia kgm^2@ Value from Prelabd?H"?q Radiust2 Radiust2 m@  QI?I rotationCounts eHH Rotation Counts Two-Channel Rotary Counter Time s $@  -C6? @ Counts counts/sample @@ @ ?     10 grams Run #1    ? ? 333333? ? ? 333333? ffffff? ? ? ? ? 333333? ?@ gfffff?@ ?@ ?@ 533333?@ ?"@ ifffff?$@ ?&@ ?(@ ?,@ hfffff?.@ 533333?0@ ?1@ ?3@ ?5@ ifffff?5@ 633333?7@ ?8@ ?:@ ?:@ jfffff?=@ 733333?=@ ??@ ?@@ ?A@ kfffff?A@ 833333?B@ @B@ hfffff@C@ @D@ 433333@E@ @E@ @F@ ffffff@F@ @G@ 233333@H@ @I@ @I@ dfffff@J@ @J@ 033333@K@ @L@ @L@ bfffff@M@ @N@ .33333@O@ @O@ @P@ `fffff@P@ @P@ ,33333 @@Q@ @@Q@ @Q@ ^fffff @R@ @@R@ *33333 @R@ @@R@ @R@ \fffff @Q@ @Q@ (33333 @P@ @P@ @P@ Zfffff@O@ @O@ &33333@N@ @M@ @L@ ,33333@L@ _fffff@K@ @J@ @I@ @I@ +33333@H@ ^fffff@G@ @G@ @F@ @E@ *33333@D@ ]fffff@D@ @C@ @C@ @B@ )33333@A@ \fffff@A@ @?@ @?@ @=@ (33333@;@ [fffff@:@ @9@ @7@ @6@ '33333@5@ Zfffff@3@ @2@ @0@ @.@ &33333@*@ Yfffff@(@ @&@ @"@ @@ %33333@@> >   10 grams Run #2    ? ? 333333? ? ? 333333?? ffffff?@ ?@ ?@ ?@ ?@ 333333?"@ ?$@ gfffff?&@ ?*@ ?,@ 533333?.@ ?1@ ifffff?2@ ?3@ ?4@ ?6@ hfffff?7@ 533333?9@ ?9@ ?;@ ?=@ ifffff?>@ 633333??@ ?@@ ?A@ ?A@ jfffff?B@ 733333?C@ ?C@ ?D@ ?E@ kfffff?E@ 833333?F@ @G@ hfffff@G@ @H@ 433333@I@ @I@ @J@ ffffff@K@ @K@ 233333@L@ @M@ @M@ dfffff@N@ @O@ 033333@O@ @@P@ @@P@ bfffff@P@ @@Q@ .33333@@Q@ @Q@ @@R@ `fffff@@R@ @R@ ,33333 @@R@ @R@ @Q@ ^fffff @@Q@ @P@ *33333 @P@ @@P@ @O@ \fffff @O@ @N@ (33333 @M@ @M@ @L@ Zfffff@K@ @J@ &33333@J@ @I@ @H@ ,33333@H@ _fffff@G@ @F@ @F@ @E@ +33333@D@ ^fffff@C@ @C@ @B@ @B@ *33333@@@ ]fffff@@@ @>@ @>@ @<@ )33333@:@ \fffff@:@ @7@ @7@ @5@ (33333@3@ [fffff@3@ @0@ @0@ @,@ '33333@(@ Zfffff@&@ @$@ @ @ @@ &33333@@ Yfffff@@ @@ @? @ %33333@ Xfffff@ @ @ @ $33333@  Wfffff@$ @& @( @, #33333@, Vfffff@1 @1 @3 @5    10 grams Run #3    ? ? 333333? ? ?? 333333?@ ffffff?@ ?@ ?@ ? @ ?$@ 333333?$@ ?(@ gfffff?,@ ?,@ ?0@ 533333?1@ ?3@ ifffff?4@ ?5@ ?6@ ?8@ hfffff?:@ 533333?:@ ?<@ ?=@ ?>@ ifffff?@@ 633333?A@ ?A@ ?B@ ?B@ jfffff?C@ 733333?D@ ?D@ ?E@ ?F@ kfffff?F@ 833333?G@ @H@ hfffff@H@ @I@ 433333@J@ @J@ @K@ ffffff@K@ @L@ 233333@M@ @N@ @N@ dfffff@O@ @P@ 033333@@P@ @P@ @Q@ bfffff@@Q@ @Q@ .33333@R@ @@R@ @R@ `fffff@R@ @R@ ,33333 @Q@ @@Q@ @Q@ ^fffff @P@ @@P@ *33333 @P@ @O@ @N@ \fffff @M@ @M@ (33333 @L@ @K@ @K@ Zfffff@J@ @I@ &33333@H@ @H@ @G@ ,33333@F@ _fffff@F@ @E@ @D@ @D@ +33333@C@ ^fffff@B@ @A@ @A@ @@@ *33333@?@ ]fffff@>@ @<@ @;@ @:@ )33333@8@ \fffff@6@ @5@ @4@ @3@ (33333@1@ [fffff@.@ @,@ @*@ @(@ '33333@"@ Zfffff@"@ @@ @@ @@ &33333@@ Yfffff@? @ @ @ %33333@ Xfffff@ @    20 gramsRun #5?HStringFileInfo4040904b0n$CompanyNamePASCO Scientific0FileD    ? ? 333333? ? ?? 333333?@ ffffff?@ ?"@ ?(@ ?.@ ?1@ 333333?4@ ?6@ gfffff?9@ ?<@ ?>@ 533333?@@ ?A@ ifffff?C@ ?D@ ?E@ ?G@ hfffff?H@ 533333?J@ ?K@ ?L@ ?M@ ifffff?O@ 633333?@P@ ?P@ ?Q@ ?@R@ jfffff?S@ 733333?S@ ?T@ ?T@ ?U@ kfffff?@V@ 833333?V@ @W@ hfffff@X@ @X@ 433333@Y@ @Y@ @Y@ ffffff@X@ @W@ 233333@@W@ @@V@ @U@ dfffff@U@ @T@ 033333@S@ @S@ @@R@ bfffff@Q@ @P@ .33333@@P@ @O@ @M@ `fffff@L@ @K@ ,33333 @I@ @H@ @G@ ^fffff @E@ @D@ *33333 @C@ @A@ @@@ \fffff @=@ @;@ (33333 @7@ @5@ @2@ Zfffff@0@ @(@ &33333@$@ @@ @@ ,33333@@ _fffff@ @ @ @"V V   25 gramsRun #6    ? ? 333333? ? ? 333333? ffffff? ? ? ? ? 333333? ? gfffff? ? ? 533333? ? ifffff? ? ?@ ?@ hfffff? @ 533333?(@ ?.@ ?2@ ?5@ ifffff?9@ 633333?=@ ??@ ?A@ ?C@ jfffff?E@ 733333?F@ ?H@ ?I@ ?K@ kfffff?M@ 833333?N@ @@P@ hfffff@Q@ @Q@ 433333@R@ @S@ @@T@ ffffff@U@ @V@ 233333@V@ @W@ @X@ dfffff@Y@ @@Z@ 033333@Z@ @[@ @\@ bfffff@@]@ @^@ .33333@^@ @\@ @[@ `fffff@\@ @Z@ ,33333 @@Y@ @Y@ @X@ ^fffff @V@ @V@ *33333 @U@ @T@ @S@ \fffff @R@ @Q@ (33333 @Q@ @P@ @O@ Zfffff@L@ @K@ &33333@I@ @G@ @F@ ,33333@D@ _fffff@B@ @@@ @>@ @;@ +33333@7@ ^fffff@4@ @0@ @*@ @"@ *33333@@ ]fffff@@ @ @ @ )33333@& \fffff@, @1 @5& &   15 gramsRun #4    ? ?? 333333? ? ? 333333?? ffffff?@ ?@ ?@ ? @ ?&@ 333333?*@ ?.@ gfffff?1@ ?3@ ?4@ 533333?7@ ?9@ ifffff?;@ ?=@ ??@ ?@@ hfffff?A@ 533333?B@ ?C@ ?D@ ?E@ ifffff?F@ 633333?G@ ?H@ ?I@ ?J@ jfffff?K@ 733333?L@ ?M@ ?N@ ?O@ kfffff?@P@ 833333?P@ @@Q@ hfffff@Q@ @R@ 433333@R@ @@S@ @S@ ffffff@T@ @T@ 233333@@U@ @U@ @@V@ dfffff@V@ @W@ 033333@@W@ @V@ @@V@ bfffff@U@ @@U@ .33333@T@ @@T@ @S@ `fffff@S@ @R@ ,33333 @R@ @Q@ @Q@ ^fffff @@P@ @P@ *33333 @O@ @M@ @L@ \fffff @L@ @J@ (33333 @I@ @H@ @G@ Zfffff@F@ @E@ &33333@D@ @C@ @B@ ,33333@A@ _fffff@@@ @>@ @<@ @:@ +33333@8@ ^fffff@6@ @4@ @1@ @0@ *33333@*@ ]fffff@(@ @"@ @@ @@ )33333@@ \fffff@?  netCounts e  Rotation Counts, Ch1&2 et counts between the two rotary motion channels. Timej,O|WGxx`jD|AI !;H!VK|Jh|$H @Kd| s|DpH @|\8|P @I|\`j|| |J|rH @    @ Rotation Counts counts @@ @ ?   10 grams Run #1    10 grams Run #2    10 grams Run #3    20 gramsRun #5    25 gramsRun #6    15 gramsRun #4    angularPosition e  Angular Position, Ch1&2 et change in angular position from initial position. Timeion Counts sunts    @ Angular Position deg v@ v ? ?  10 grams Run #1    10 grams Run #2    10 grams Run #3    20 gramsRun #5    25 gramsRun #6    15 gramsRun #4    angularVelocity e  Angular Velocity, Ch1&2 verage angular velocity over the last few position measurements. Timear Position sg    @ Angular Velocity deg/s v@ v ? ?  10 grams Run #1    10 grams Run #2    10 grams Run #3    20 gramsRun #5    25 gramsRun #6 0.00 60,   15 gramsRun #4    angularAcceleration e  Angular Acceleration, Ch1&2 verage angular acceleration over the last few position measurements. Timear Velocity sg/s    @ Angular Acceleration deg/s/s Y@ Y ?   10 grams Run #1    10 grams Run #2    10 grams Run #3    20 gramsRun #5    25 gramsRun #6    15 gramsRun #4    angularPositionRad e  Angular Position, Ch1&2 et change in angular position from initial position. Timear Acceleration sg/s/s    @ Angular Position rad @  {Gzt? @  10 grams Run #1    10 grams Run #2    10 grams Run #3    20 gramsRun #5    25 gramsRun #6    15 gramsRun #4    angularVelocityRad e  Angular Velocity, Ch1&2 verage angular velocity over the last few position measurements. Timear Position sd    @ Angular Velocity rad/s @  {Gz? @ A 10 grams Run #1   E 10 grams Run #2   C 10 grams Run #3   I 20 gramsRun #5@  S G 25 gramsRun #6   M 15 gramsRun #4    angularAccelerationRad e  Angular Acceleration, Ch1&2 verage angular acceleration over the last few position measurements. Timear Velocity sd/s    @ Angular Acceleration rad/s/s @  {Gz? @  10 grams Run #1    10 grams Run #2    10 grams Run #3    20 gramsRun #5    25 gramsRun #6    15 gramsRun #4    position e  Position, Ch1&2 et change in linear position from initial position. Timear Acceleration sd/s/s    @ Position m @  {Gzt? @ B 10 grams Run #1   F 10 grams Run #2   D 10 grams Run #3   J 20 gramsRun #5   H 25 gramsRun #6   N 15 gramsRun #4    velocity e  Velocity, Ch1&2 verage velocity over the last few position measurements. Timeion s    @ Velocity m/s @  {Gz? @ C 10 grams Run #1   G 10 grams Run #2   E 10 grams Run #3   K 20 gramsRun #5   I 25 gramsRun #6?Q@o(\?  a A 15 gramsRun #4    acceleration e  Acceleration, Ch1&2 verage acceleration over the last few velocity measurements. Timeity ss    @ Acceleration m/s/s @  ? @  10 grams Run #1    10 grams Run #2    10 grams Run #3    20 gramsRun #5    25 gramsRun #6    15 gramsRun #4   DMVAR2 .5*I*(v/R)^2mm I Rotational Inertia v velocityemm R Radiust2  DMVAR2   Rotational KE  Timeion s    @ RKEtional KE J ?  -C6? @ B 10 grams Run #1   C 10 grams Run #2   D 10 grams Run #3   E 20 grams   F 25 grams   G 15 grams  # Transform GPE to KE Workbook xa   ^y\  Activity P25: Transforming GPE to KE As a mass falls, it pulls on a string attached to a disk, causing the disk to rotate. Use a Rotary Motion Sensor to measure the resulting angular speed of the disk. Compare the object's decrease in gravitational potential energy and the increase in kinetic energy to determine whether energy is conserved. Refer to the description in the student workbook for Physics for more information.  tP { Options: Rotary Motion Sensor: Sample Rate = 20 Hz. Divisions/Rotation = 360. Linear Calibration = Medium Pulley.{  DZat t+ Results: From Prelab I = 1.430*10^-4 kgm^2 h1 = 0.93 m mass, h2, dh, vmax, RKEmax, .5mv^2, Total KE, massgdh, % diff (kg), (m), (m), (m/s), (J), (J), (J), (J), (%) 0.01002, 0.43, 0.50, 0.37, 0.0472, 0.0007, 0.0479, 0.0491, 2.4 0.01002, 0.43, 0.50, 0.37, 0.0479, 0.0007, 0.0486, 0.0491, 1.0 0.01002, 0.43, 0.50, 0.37, 0.0479, 0.0007, 0.0486, 0.0491, 1.0 0.02007, 0.41, 0.52, 0.51, 0.0918, 0.0026, 0.0944, 0.1023, 7.7 0.02511, 0.39, 0.54, 0.61, 0.1280, 0.0046, 0.1326, 0.1329, 0.2 0.01505, 0.39, 0.54, 0.46, 0.0748, 0.0016, 0.0764, 0.0796, 4.0+  Rotational KE and Velocity Tableo| 8 8 ^ ' {1D3D2003-AD5E-11D1-918B-006008C60881} DMVAR2 velocitye33l defghikj))P@@))P@@  Angular Velocity Graphz    \ ' {31B7B559-FD30-11D0-835B-006097DF6F3A} angularVelocityRade angularVelocityRade angularVelocityRade angularVelocityRade angularVelocityRade angularVelocityRade      uu !"#$%&'()+ Legendo :?Sa?  ,   {Gz{Gz?<2&տc+iR@n0 $7F@*uu !"#$%&'()+ Legendo :?Sa?  ,   {Gz{Gz?<2&տc+iR@n0 $7F@*uu !"#$%&'()+ Legendo :?Sa?  ,   {Gz{Gz?<2&տc+iR@n0 $7F@*uu !"#$%&'()+ Legendo :?Sa?  ,   {Gz{Gz?<2&տc+iR@n0 $7F@*uu !"#$%&'()+ Legendo :?Sa?  ,   {Gz{Gz?<2&տc+iR@n0 $7F@*uu !"#$%&'()+ Legendo :?Sa?  ,   {Gz{Gz?<2&տc+iR@n0 $7F@* w   YYdefghijHHblzÍÍBM6(ʦ zAA,-./0P<55((08))e e== 10 grams Run #1nt 06171999145423== 10 grams Run #2P`pL}tL 8TtLtLtL 06171999145449== 10 grams Run #3tLtLtLd0|tL 06171999145852== 20 gramsRun #5y|P|tL MS S}}}Ԏz쎲}ЎtLPtLStartLtL 06171999150127== 25 gramsRun #6_c:\temp\TF3334.TMP 06171999150532== 15 gramsRun #4X}X*H}XXTIMEXXXXYtLRUNTIMEPYTY 06171999150639))XoXXxa