document.write( "Question 1195315: Imagine I wrap sheet metal part way around a tube leaving two parallel sides connected by a semicircle. Now imagine I remove the tube and cut the object so formed across both ends at an angle of 25 degrees to the axis of the semicircular surface to form a chute with vertical sides, vertical ends, and a semicicular chute surface at an angle of 25 degrees to the vertical. \r
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document.write( "In this case how can I precisely quantify the dimensions, and in particular specify a design plan for both the finished object and the cutting template for a piece of sheet metal that could be bent into the desired shape? In the template of the flattened opbject, what will be the angle between the four lines that will form the vertical ends of the completed chute (the ends of the two sides), and how can I specify the arc between them (semicircle in the final object, but arbitrary arc in the template)? I think the arc will still be circular, is that correct? (In which case it will be defined by the radius, the angle between the two lines, and the location of the centre of the arc).\r
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document.write( "Reason for the question: I need to make plans for a modified coffee grinder exit chute, from which someone can construct the part for me. The original chute is horizontal, the coffee grinds are pushed out in large clumps and then fall through a tube - not surprisingly the result is very poor. My aim is to make a new chute that falls at a steep slope right from the start, to prevent clumping.\r
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document.write( "Aside: Why not just us a bigger sheet, bend as described above and then cut at an angle, without working out the shape in flattened form? That would not be adequate because:
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document.write( "I have simplified the shape for the purposes of concentrating on the core problem, it is actually a little more complicated;
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document.write( "AND I have to rely on others to make the part, and need to provide an adequate job description for it;
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document.write( "AND I made various mock-ups in paper and foil ad lib for an earlier prototype at about 45 degrees (too flat), but found it is all the more difficult to do ad lib, the steeper is the slope. There are screw tabs at the top, which make it very difficult to draw accurately without being able to calculate the angles and arcs precisely. \n" );
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Algebra.Com's Answer #827794 by BM22222(1)![]() ![]() ![]() You can put this solution on YOUR website! @ ikleyn\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "Option (b) of the options list.\r \n" ); document.write( "\n" ); document.write( "If you don't want to take the trouble to answer the question honestly, why block it (removing from the unanswered question list) by giving such a useless non-answer? Doing so may boost your \"score\" but it is antisocial and unhelpful. If you don't want to answer it just leave it alone. |