document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=612084>Question 612084</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pianos strings frequency (f) varies directly with the square root of the strings tension (t) and inversely with both the length (l) and diameter (d)\r<BR>\n" );
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document.write( "The middle c note has a frequency of 262 hz. the string producing this note has a tension of 670 and a length of 62 and a diameter of 0.1025 cm, write an equation that relates f,t,l, and d.\r<BR>\n" );
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document.write( "Also find the frequency of the note produced by a string with a tension of 1629 and a length of 201.g and a diameter of 0.49. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #385285 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=385285\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A pianos strings frequency (f) varies directly with the square root of the strings tension (t) and inversely with both the length (l) and diameter (d)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+=+k%2Asqrt%28t%29%2F%28l%2Ad%29 ALIGN=MIDDLE  ALT=\"f+=+k%2Asqrt%28t%29%2F%28l%2Ad%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The middle C note has a frequency of 262 hz. the string producing this note has a tension of 670 and a length of 62 and a diameter of 0.1025 cm, write an equation that relates f,t,l, and d.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+=+k%2Asqrt%28t%29%2F%28l%2Ad%29 ALIGN=MIDDLE  ALT=\"f+=+k%2Asqrt%28t%29%2F%28l%2Ad%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=262+=+k%2Asqrt%28670%29%2F%2862%2A0.1025%29 ALIGN=MIDDLE  ALT=\"262+=+k%2Asqrt%28670%29%2F%2862%2A0.1025%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "k = 64.324948<BR>\n" );
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document.write( "Also find the frequency of the note produced by a string with a tension of 1629 and a length of 201.g and a diameter of 0.49.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+=+k%2Asqrt%281629%29%2F%28201%2A0.49%29 ALIGN=MIDDLE  ALT=\"f+=+k%2Asqrt%281629%29%2F%28201%2A0.49%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f = 26.36 Hz<BR>\n" );
document.write( "That's a note between G# and A, but out of tune.<BR>\n" );
document.write( "G# or Ab = 25.96<BR>\n" );
document.write( "A	 = 27.50<BR>\n" );
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document.write( "A is exactly 27.5 Hz using International A-440 tuning. </SPAN>\n" );
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