Circumference(in) of cylinder 12
Radius(in) of cylinder 1.909859317
Distance from bottom of foam to lip of cylinder (in) 1.5000
Motion sensor wheel radius (in) 1.0000
Distance from bottom of cylinder to water at rest (in) 3.3750
Acceleration of gravity (in/s^2) 384.0000
Height of cylinder (in) 5.7500
Stick # Trial 1 Trial 2 Trial 3 Trial 4 Trial 5 Trial 6 Trial 7 Trial 8 Trial 9 Distance
Angular velocity of motion sensor (deg/s) (+- 50 deg/sec) 5000 6572 6057 5021 6478 6709 7395 6728 7793 from Axis
Disc radius (inches) 6.36 6.36 6.36 6.36 6.36 6.36 6.36 6.86 6.86 to Point
Adjusted angular velocity for disc (deg/s) 786.163522 1033.333333 952.3584906 789.4654088 1018.553459 1054.874214 1162.735849 980.7580175 1136.005831
Adjusted angular velocity for disc (rad/s) 6.860570959 9.017534469 8.31089566 6.889385357 8.888555735 9.205514113 10.14678445 8.558728285 9.913521036
Distance from lip to water (in) 1 3.3125 3.0625 3.5 3.5625 2.875 3.0625 2.875 2.6875 1.5625 -1.909859317
2 4 3.75 3.8125 3.875 3.1875 3.625 3.625 3.3125 2.5625 -1.584859317
3 4.3125 4.6875 4.375 4.25 3.9375 4 4.0625 4.3125 3.3125 -1.259859317
4 4.5625 5.1875 4.875 4.5625 3.4375 4.375 4.875 4.5 3.75 -0.934859317
5 4.5625 5.375 4.9375 4.6875 4.875 4.5625 5.25 5.25 3.875 -0.609859317
6 4.625 5.375 4.9375 4.75 5.0625 4.8125 5.3125 5.375 4 -0.284859317
7 4.625 5.125 4.8125 4.625 5 4.4375 5.0625 5.25 4.125 0.040140683
8 4.5625 4.875 4.625 4.375 4.5625 4.3125 4.875 5 3.8125 0.365140683
9 4.375 4.375 4.1875 4.0625 4.0625 3.9375 3.8125 4.5 3.5 0.690140683
10 3.875 3.75 3.625 3.875 3.125 3.625 3.5 3.625 3 1.015140683
11 3.375 3.25 3.125 3.625 2.9375 3.125 2.625 2.75 1.5625 1.340140683
Distance from bottom of cylinder to water (in) 1 3.9375 4.1875 3.7500 3.6875 4.3750 4.1875 4.3750 4.5625 4.1875 -1.909859317
2 3.2500 3.5000 3.4375 3.3750 4.0625 3.6250 3.6250 3.9375 3.1875 -1.584859317
3 2.9375 2.5625 2.8750 3.0000 3.3125 3.2500 3.1875 2.9375 2.4375 -1.259859317
4 2.6875 2.0625 2.3750 2.6875 3.8125 2.8750 2.3750 2.7500 2.0000 -0.934859317
5 2.6875 1.8750 2.3125 2.5625 2.3750 2.6875 2.0000 2.0000 1.8750 -0.609859317
6 2.6250 1.8750 2.3125 2.5000 2.1875 2.4375 1.9375 1.8750 1.7500 -0.284859317
7 2.6250 2.1250 2.4375 2.6250 2.2500 2.8125 2.1875 2.0000 1.6250 0.040140683
8 2.6875 2.3750 2.6250 2.8750 2.6875 2.9375 2.3750 2.2500 1.9375 0.365140683
9 2.8750 2.8750 3.0625 3.1875 3.1875 3.3125 3.4375 2.7500 2.2500 0.690140683
10 3.3750 3.5000 3.6250 3.3750 4.1250 3.6250 3.7500 3.6250 2.7500 1.015140683
11 3.8750 4.0000 4.1250 3.6250 4.3125 4.1250 4.6250 4.5000 4.1875 1.340140683
Calculated distance from bottom to interface (in) 1 4.269174021 4.919817387 4.687191398 4.276700856 4.875942056 4.984895265 5.330952915 4.766617895 5.242056203 -1.909859317
2 3.712315506 3.957762244 3.870007119 3.715154907 3.941210846 3.982312026 4.112857768 3.89996973 4.079322641 -1.584859317
3 3.25902986 3.174644494 3.204814984 3.258053665 3.180334917 3.166204201 3.121322161 3.194513743 3.132851644 -1.259859317
4 2.909317083 2.570464137 2.691614994 2.905397132 2.593314267 2.53657179 2.356346094 2.650249934 2.402643211 -0.934859317
5 2.663177174 2.145221174 2.33040715 2.657185306 2.180148897 2.093414794 1.817929566 2.267178302 1.888697344 -0.609859317
6 2.520610135 1.898915605 2.121191451 2.513418188 1.940838807 1.836733213 1.506072579 2.045298848 1.591014041 -0.284859317
7 2.481615964 1.831547429 2.063967897 2.474095779 1.875383996 1.766527046 1.420775131 1.984611572 1.509593303 0.040140683
8 2.546194662 1.943116646 2.158736488 2.539218077 1.983784466 1.882796293 1.562037223 2.085116473 1.644435131 0.365140683
9 2.714346229 2.233623256 2.405497224 2.708785083 2.266040216 2.185540954 1.929858854 2.346813552 1.995539523 0.690140683
10 2.986070665 2.70306726 2.804250105 2.982796797 2.722151245 2.67476103 2.524240026 2.769702809 2.56290648 1.015140683
11 3.361367969 3.351448658 3.354995132 3.36125322 3.352117554 3.35045652 3.345180737 3.353784244 3.346536002 1.340140683
Distance from bottom to water using surface tension 1 7.219753501 9.850717615 5.215829898 4.097445684 5.303297457 6.844073777 6.042370404 10.34819484 6.812385731 -1.909859317
2 4.506994895 5.0066927 3.622004823 3.581825852 3.452195988 4.388528459 3.750257589 4.823952479 3.505286278 -1.584859317
3 3.318112974 3.067516461 2.905796853 3.134930887 2.687744766 3.376119697 2.775984471 2.788895198 2.230337035 -1.259859317
4 2.851015141 2.397679787 2.608266769 2.843485327 2.40194167 3.001684333 2.396897616 2.183267195 1.807763817 -0.934859317
5 2.686827551 2.195478774 2.49118989 2.694419419 2.29857377 2.870610925 2.254476849 2.040968919 1.679257253 -0.609859317
6 2.635157922 2.136943779 2.447400336 2.636763994 2.259438119 2.82349266 2.200321008 2.007408118 1.635643475 -0.284859317
7 2.625186175 2.125224419 2.437688225 2.625214204 2.25018333 2.812712029 2.187747405 2.000146777 1.625209371 0.040140683
8 2.642582889 2.145430498 2.454249816 2.645362151 2.265771952 2.830957266 2.209004998 2.012343968 1.64268238 0.365140683
9 2.712255579 2.22492888 2.510690586 2.720598368 2.315563628 2.891670551 2.278101275 2.058994584 1.698864841 0.690140683
10 2.926922782 2.499096301 2.658581246 2.900682185 2.448019044 3.06142797 2.459242851 2.265963985 1.870922903 1.015140683
11 3.521515981 3.382528119 3.030566701 3.231980964 2.815024672 3.544251238 2.940889774 3.101818542 2.433329972 1.340140683
% error between measured and predicted value without surface tension 1 7.769044302 14.88505221 19.99473285 13.77699484 10.27374916 15.99622906 17.93212077 4.282237412 20.11722428 -1.909859317
2 12.45356181 11.56618855 11.17587398 9.155874119 -3.077459146 8.972476876 11.86177095 -0.962322082 21.86202759 -1.584859317
3 9.865815098 19.28230058 10.29123321 7.920485407 -4.155697022 -2.64656964 -2.120186115 8.045473074 22.19548587 -1.259859317
4 7.624369445 19.76157263 11.76301198 7.499736583 -47.01264898 -13.34195274 -0.791645436 -3.763798463 16.75834387 -0.934859317
5 -0.913301074 12.59642491 0.768412933 3.563368567 -8.93751356 -28.37876216 -10.01526336 11.78461799 0.725227038 -0.609859317
6 -4.141452258 1.259434841 -9.018919497 0.533862149 -12.70899946 -32.70844034 -28.64585861 8.326355256 -9.992743918 -0.284859317
7 -5.777849523 -16.02211152 -18.09776712 -6.09936861 -19.97542926 -59.21069576 -53.96525128 -0.775387403 -7.644886625 0.040140683
8 -5.549667516 -22.22632157 -21.59890821 -13.22383162 -35.47338665 -56.01794052 -52.04503233 -7.907641074 -17.82161326 0.365140683
9 -5.918691192 -28.71463403 -27.312556 -17.67267989 -40.66387604 -51.56430693 -78.1218348 -17.1801653 -12.75146267 0.690140683
10 -13.02478672 -29.48253457 -29.2680704 -13.14884081 -51.53456324 -35.52612586 -48.55956494 -30.88046804 -7.300052565 1.015140683
11 -15.2804464 -19.35137334 -22.95099809 -7.846679889 -28.65002286 -23.11755055 -38.25859838 -34.17678875 -25.12938746 1.340140683
% error between measured and predicted value with surface tension 1 45.46212693 57.49040665 28.10348356 10.00490832 17.50415594 38.81568001 27.59464072 55.91018463 38.53107905 -1.909859317
2 27.8898673 30.09357254 5.093997159 5.774313456 -17.67871853 17.39827977 3.339972942 18.3760616 9.065915091 -1.584859317
3 11.47076597 16.46336597 1.059841902 4.304110409 -23.24458935 3.735640556 -14.82412934 -5.328446982 -9.288415256 -1.259859317
4 5.73533051 13.97933907 8.94336314 5.485708862 -58.72575289 4.220441549 0.913581612 -25.95801404 -10.63392137 -0.934859317
5 -0.025027621 14.59721576 7.172873134 4.896023923 -3.324941343 6.378813783 11.28762306 2.007326953 -11.65650748 -0.609859317
6 0.385476773 12.25786948 5.511984869 5.18681209 3.183894178 13.67075133 11.94466656 6.59597401 -6.991531252 -0.284859317
7 0.007091865 0.010559793 0.007721467 0.008159505 0.008147333 0.007538232 0.011308663 0.007338334 0.012882737 0.040140683
8 -1.699742734 -10.70039334 -6.957326948 -8.680771683 -18.61299622 -3.763487897 -7.514469276 -11.80991102 -17.94732955 0.365140683
9 -6.000335025 -29.21761349 -21.97839183 -17.16172579 -37.65547021 -14.55316024 -50.89320379 -33.56033192 -32.44137764 0.690140683
10 -15.30881581 -40.05062546 -36.35092047 -16.35194016 -68.50359112 -18.40879601 -52.48595714 -59.97606421 -46.98628127 1.015140683
11 -10.03783657 -18.25474496 -36.1131566 -12.16031408 -53.19581541 -16.38565449 -57.26532973 -45.07618478 -72.0892788 1.340140683