document.write( "Question 146557: 1.find the radius of a pulley which is driven at 100rev/min by a belt moving at 12 m/s.\r
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document.write( "2.a railroad toy is laid out in circular form. what diameter should be used if the track is to change direction by 32degrees in a distance of 50cm?\r
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document.write( "pls., help me in my assignment in trigonometry.,. tnx a lot. \n" );
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Algebra.Com's Answer #107004 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! 1.find the radius of a pulley which is driven at 100rev/min by a belt moving at 12 m/s. \n" ); document.write( ". \n" ); document.write( "Recap on important info pulled from problem: \n" ); document.write( "pulley is revolving 100 times per minute \n" ); document.write( "belt is moving at 12m/s. \n" ); document.write( ". \n" ); document.write( "In a minute, the belt moved: \n" ); document.write( "12 m/s * 60 sec/min = 720 meters \n" ); document.write( ". \n" ); document.write( "Now, to determine the circumference of the pulley, we simply divide the \"distance traveled\" (720) by the \"number of revolutions\" (100): \n" ); document.write( "720/100 = 7.2 meters \n" ); document.write( ". \n" ); document.write( "Circumference of a circle = 2(pi)r \n" ); document.write( "where: \n" ); document.write( "pi=3.14 \n" ); document.write( "r = radius \n" ); document.write( ". \n" ); document.write( "therefore, \n" ); document.write( "7.2 = 2(3.14)r \n" ); document.write( "3.6 = 3.14r \n" ); document.write( "1.15 meters = radius \n" ); document.write( ".\r \n" ); document.write( "\n" ); document.write( "2.a railroad toy is laid out in circular form. what diameter should be used if the track is to change direction by 32degrees in a distance of 50cm? \n" ); document.write( ". \n" ); document.write( "There is 360 degrees in a circle. \n" ); document.write( ". \n" ); document.write( "Let C = circumference \n" ); document.write( "then \n" ); document.write( "(32/360)C = 50cm \n" ); document.write( "32C = 18000cm \n" ); document.write( "C = 562.5 cm \n" ); document.write( ". \n" ); document.write( "Now, the relationship of diameter to circumference is: \n" ); document.write( "C = (pi)D \n" ); document.write( "where D=diameter \n" ); document.write( ". \n" ); document.write( "562.5 cm = (3.14)D \n" ); document.write( "179.14 cm = D\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |