document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=968750>Question 968750</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In desperate need of help with this one,<BR>\n" );
document.write( "A sound wave has frequency 50 Hz (i.e. it has wavelength (period) = 0.02 seconds). Within each beat, the highest sound intensity is 100 decibel (dB) and the lowest intensity is 60 dB. Supposing that t = 0 corresponds to the low intensity, write down a trigonometric function that describes this sound wave. Sketch the sound wave over two periods. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #591940 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=591940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A sound wave has frequency 50 Hz (i.e. it has wavelength (period) = 0.02 seconds). Within each beat, the highest sound intensity is 100 decibel (dB) and the lowest intensity is 60 dB. Supposing that t = 0 corresponds to the low intensity, write down a trigonometric function that describes this sound wave. Sketch the sound wave over two periods.<BR>\n" );
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document.write( "Wavelength is distance, not time.<BR>\n" );
document.write( "Period = 0.02 seconds<BR>\n" );
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document.write( "S(t) = 20*sin(x*2pi/0.02) + 80<BR>\n" );
document.write( "Add the phase shift<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Asin%28x%2A%282pi%2F.02+%29+-+%28pi%2F4%29%2F0.02%29+%2B+80 ALIGN=MIDDLE  ALT=\"20%2Asin%28x%2A%282pi%2F.02+%29+-+%28pi%2F4%29%2F0.02%29+%2B+80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Asin%28x%2A%28100pi%29+-+%28pi%2F4%29%2F0.02%29+%2B+80 ALIGN=MIDDLE  ALT=\"20%2Asin%28x%2A%28100pi%29+-+%28pi%2F4%29%2F0.02%29+%2B+80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Asin%28x%2A%28100pi%29+-+%2812.5pi%29%29+%2B+80 ALIGN=MIDDLE  ALT=\"20%2Asin%28x%2A%28100pi%29+-+%2812.5pi%29%29+%2B+80\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );