document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188055>Question 1188055</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this word question: A model steamboat is 2 ft. 3 in. long and it displaces 1.5 lb. of water. The ship of which the model is made is 720 ft. long. What is its displacement in tons? </SPAN>\n" );
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document.write( "A model steamboat is 2 ft. 3 in. long and it displaces 1.5 lb. of water. <BR>\n" );
document.write( "The ship of which the model is made is 720 ft. long. What is its displacement in tons?<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Tutor @Theo incorrectly interprets the term  &nbsp;\" displacement \" &nbsp;in this problem,<BR>\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;which leads him to crude mistake.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I came to bring you a correct solution.\r<BR>\n" );
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document.write( "Let start from the definition.\r<BR>\n" );
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document.write( "For definition of the term &nbsp;\" displacement &nbsp;(for ships) \" &nbsp;see this &nbsp;Wikipedia article\r<BR>\n" );
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document.write( "https://en.wikipedia.org/wiki/Displacement_(ship)\r<BR>\n" );
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document.write( "    The displacement or displacement tonnage of a ship is its weight. \r\n" );
document.write( "    As the term indicates, it is measured indirectly, using Archimedes' principle, \r\n" );
document.write( "    by first calculating the volume of water displaced by the ship, \r\n" );
document.write( "    then converting that value into weight. \r\n" );
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document.write( "So, &nbsp;in this special problem, &nbsp;the term &nbsp;\"displacement\" &nbsp;relates to the &nbsp;<U>volume of the displaced water</U>.\r<BR>\n" );
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document.write( "The ratio of volumes of a real ship to that of a model is the cube of the similarity coefficient.\r<BR>\n" );
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document.write( "The similarity coefficient is &nbsp;720 ft &nbsp;to &nbsp;2.25 ft, &nbsp;i.e.  &nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=720%2F2.25 ALIGN=MIDDLE  ALT=\"720%2F2.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 320.\r<BR>\n" );
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document.write( "Therefore, &nbsp;the displacement of the real ship is  &nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2A320%5E3 ALIGN=MIDDLE  ALT=\"1.5%2A320%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 49152000 lb.\r<BR>\n" );
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document.write( "You should convert this value to tons.\r<BR>\n" );
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document.write( "The term &nbsp;\" ton \" &nbsp;has several different meanings.  &nbsp;But in this class of problems, &nbsp;it usually <BR>\n" );
document.write( "denotes &nbsp;\" long tons \", &nbsp;that is  &nbsp;\" a unit of weight equal to 2,240 pounds avoirdupois (1016.05 kg). (noun: long ton) \"\r<BR>\n" );
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document.write( "So, &nbsp;we divide  &nbsp;49152000 lbs by &nbsp;2,240 pounds and get  &nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49152000%2F2240 ALIGN=MIDDLE  ALT=\"49152000%2F2240\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 21943 tons &nbsp;&nbsp;(long tons)  &nbsp;&nbsp;(rounded).\r<BR>\n" );
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document.write( "<U>ANSWER</U>.  &nbsp;&nbsp;The ship of which the model is made has the displacement of &nbsp;21943 tons &nbsp;(long tons).\r<BR>\n" );
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document.write( "Solved and thoroughly explained.\r<BR>\n" );
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