Experiment to determine the position of the center of pressure on the rectangular face of the torriodFull description
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HYDROSTATIC PRESSURE The objective of this lab is to determine the position of the center of pressure on the rectangular face of a toroid as seen in gure 1.
Figure 1: Hydrostatic Pressure Module
Technical data The schematic schematic of the module module can be seen in in gue gue !
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Figure 2: Schematic of Hydrostatic Pressure module
Figure 3: Dimensions of Hydrostatic Pressure
$o a partly submeged %etical &lane suface'
2
H(dostatic thust $ )
ρ Bgd
2
*"+
E,&eimental &osition of the cente of &essue h - )
2 mL ρ Bd
2
Theoetical &osition of the cente of &essue h- ) h. / H 0 d
*!+ *1+ !#Page
$o a fully submeged %etical suface :
H(dostatic thust $ )
ρ gBD( d −
D / 2) *2+
E,&eimental &osition of the cente of &essue h- )
mL ρ BD( d −
D / 2)
*3+ Theoetical &osition of the cente of &essue h- ) D
2
/ 2 + ( d − D / 2) 2 d − D / 2
+ H −
d
*4+
Method "5 6easue the dimensions 7 and D of the 8uadant end face and the dimensions H and 9 *see gue+5 Position the em&t( &lastic tan: on the bench5 Ensue that the tooid is located on the do;el &ins and the cental clam&ing sce; is tightened5 Position the assembled balance am on the :nife edges5 !5 9ocate the ;eight hange in the goo%e at the end of the balance am5 Ensue that the dain %al%e is closed5 Diect the fee end of the hose connected to the dain %al%e to the sin:5 15 9e%el the tan: using the adontal *?at undeside of the balance am le%el ;ith the beam le%el indicato+5 25 Add ;ate to the tan: until it is full5 Ensue that no ;ate is s&illed on the u&&e sufaces o sides of the 8uadant5 Add all the ;eights to the ;eight hange5 Slo;l( dain ;ate fom the tan: using the dain %al%e until the balance am is hoi>ontal5 Read the de&th of immesion fom the scale on the side of the 8uadant5 6oe accuate esults can be obtained fom eading belo; the suface@ to a%oid the eects of suface tension5 35 Remo%e one of the 3B gam ;eights fom the ;eight hange5 Dain the tan: slo;l( again until the balance am is hoi>ontal5 ote the height eading caefull(5 Re&eat this ste& b( emo%ing one ;eight at a time5
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Questions "5 Plot the thust %s5 de&th of immesion *h %s d+ and comment on the %aiation5 !5 Plot the de&th of immesion %s5 the theoetical and e,&eimental centes of &essue@ h-5 Comment on the elation bet;een h- and d5