Problem 2414. Mechanical Advantage of a Gear Train

Created by goc3

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Calculate the mechanical advantage of a gear train.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The mechanical advantage of a gear couple is given by MA = T_o/T_i where T_x is the number of gear teeth on gear x, o=output, and i=input. For stacked gear couples the overall mechanical advantage is the product of the individual mechanical advantages.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The number of teeth in each gear are given in a 2 x n matrix where n = number of gear couples and the output gears are in the first row.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Example:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ T_i1 = 5; T_o1 = 15;\n T_i2 = 8; T_o2 = 12;\n T_i3 = 6; T_o3 = 24;\n gears = [T_o1 T_o2 T_o3\n          T_i1 T_i2 T_i3]\n\n MA = (15/5)*(12/8)*(24/6) = 3*1.5*4 = 18]]></w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

51 Solutions
37 Solvers

Last Solution submitted on Jul 13, 2020

Last 200 Solutions

Problem Comments

Problem Recent Solvers37

Problem Tags

gear mechanical advantage torque ratio

Problem 2414. Mechanical Advantage of a Gear Train

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers37

Suggested Problems

More from this Author139

Problem Tags

Problem 2414. Mechanical Advantage of a Gear Train

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers37

Suggested Problems

More from this Author139

Problem Tags

Players