document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200988>Question 200988</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780495013570/algebrahomeworkh>algebra and trigonometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> POWER FROM A WINDMILL. The power p that can be obtained from a windmill is directly proportionl to the cube of the wind speed s. <BR>\n" );
document.write( "(a) Write an equation that expresses this variation.<BR>\n" );
document.write( "(b) Find the constant of proportionality for a windmill that produces 96 watts of power when the wind is lowing at 20 mi/h.<BR>\n" );
document.write( "(c) How much power will this windmill produce if the wind speed increases to 30mi/h? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151244 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=151244\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The power p that can be obtained from a windmill is directly proportionl to the cube of the wind speed s. <BR>\n" );
document.write( "(a) Write an equation that expresses this variation.<BR>\n" );
document.write( "p(s) = ks^3<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "(b) Find the constant of proportionality for a windmill that produces 96 watts of power when the wind is lowing at 20 mi/h.<BR>\n" );
document.write( "96 = k*20^3<BR>\n" );
document.write( "k = 96/20^3<BR>\n" );
document.write( "k = 0.012<BR>\n" );
document.write( "Therefore the equation is p(s) = 0.012s^3<BR>\n" );
document.write( "-------------------------------------------------<BR>\n" );
document.write( "(c) How much power will this windmill produce if the wind speed increases to 30mi/h?<BR>\n" );
document.write( "P(30) = 0.012*30^3<BR>\n" );
document.write( "P(30) = 324 watts<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );