document.write( "Question 1023112: The power P obtained a windmill is directly proportional to the cube of the wind speed s.\r
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document.write( "a) Write an equation that expresses this variation.
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document.write( "b) Find the constant of proportionality for a windmill that produces 96 watts of power when the wind is blowing at 20 mi/hr.
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document.write( "c) How much power will this windmill produce if the wind speed increases to 30 mi/hr. \n" );
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Algebra.Com's Answer #638635 by god2012(113)![]() ![]() You can put this solution on YOUR website! Given : P is directly proportional to cube of windspeed S\r \n" ); document.write( "\n" ); document.write( "P ∝ s⌃3 \n" ); document.write( " = > \n" ); document.write( "P = k*s⌃3 , where k is a constant\r \n" ); document.write( "\n" ); document.write( "a) k = {P/s⌃3}\r \n" ); document.write( "\n" ); document.write( "b) speed s = 20 mi/hr \n" ); document.write( " Power P = 96W \n" ); document.write( " k = {96 / 20⌃3} = 96/8000 = 0.012 \n" ); document.write( " k = 0.012\r \n" ); document.write( "\n" ); document.write( "c) s = 30 \n" ); document.write( " k = 0.012 \n" ); document.write( " P = k*s⌃3 = 0.012*30⌃3 = 324 \n" ); document.write( " P = 324 W\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |