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Rube Goldberg Machine. Nicole Stockton, Samantha Bennett, Arthur Swanson, and Raquel Navarro. PE to KE. W IN : mgh .052(9.8)(.062) W IN : 0.0319J W OUT : 1/2mv² 1/2(.052)(.45)² W OUT : 0.0053J. W IN : mgh + 1/2mv² .166(9.8)(.23)+ 1/2(.166)(.038)² W IN : 0.377J W OUT : mgh +1/2 mv²
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Rube Goldberg Machine Nicole Stockton, Samantha Bennett, Arthur Swanson, and Raquel Navarro
PE to KE • WIN:mgh • .052(9.8)(.062) • WIN: 0.0319J • WOUT: 1/2mv² • 1/2(.052)(.45)² • WOUT: 0.0053J • WIN: mgh+ 1/2mv² • .166(9.8)(.23)+ 1/2(.166)(.038)² • WIN: 0.377J • WOUT: mgh +1/2 mv² • .166(9.8)(.1)+ • 1/2(.166)(3.6)² • WOUT: 0.016J Efficiency 17% • WIN: mgh • 9.8(.77m)(.056kg) • WIN: 0.423J • WOUT: 1/2mv² • .5(.056)(3.4) ² • WOUT: 0.324J Efficiency 4.2% Efficiency: 77%
Ke to PE • WIN: 1/2mv² • .5 (.02892)(2.75)² • WIN: 0.109J • WOUT: mgh • (.02892)(9.8)(.17) • WOUT: 0.086J • WIN: 1/2mv² • .5(.056)(3.4) ² • WIN: 0.324J • WOUT: mgh • 9.8(.078kg)(.07kg) • WOUT: 0.0535J Efficiency 70% Efficiency 16.5%
Pe to Pe • WIN: mgh • 9.8(.078kg)(.07kg) • WIN: 0.0535J • WOUT: mgh cup+ mgh(water) • .01(9.8)(.08)+.13(9.8)(.03) • WOUT: 0.0449J Efficiency 16.5%
KE to Rotational • WIN: mgh(cup)+mgh (water) • 01(9.8)(.08)+.13(9.8)(.03) • WIN: 0.0449J • WOUT:WOUT: 1/2Iω² • ½(.5(.1513)(.05)² (1.03)² • WOUT: 9.967x10-5J Efficiency 83%
Rotational to Pe • WIN: θ2 π /time • (11/180)2 π/ .374 • WIN: 1.03 rot/sec • WOUT: 1/2Iω² • ½(.5(.1513)(.05)² (1.03)² • WOUT: 9.967x10-5J Efficiency43.5%
PE to Electric • WIN: mgh/t • .166(9.8)(.01)/.112 • WIN: 0.143w • WOUT: IV • 6v(.002a) • WOUT: 0.012w Efficiency 8%
Wind to Ke • WIN: (πr²h)1.2 • (π.045².12)1.2 • WIN:9.16x 10-4J • WOUT: 1/2mv² • .5(WIN:9.16x 10-4) (1.5)² • WOUT:0.001J
Pe to electric • Formula: mgh = IV • (9.8)(2.63kg)(.165m)=(100w/120v) • WIN: 0.103J • WOUT: 100w
Total Efficiency • WIN:mgh • .77(9.8)(.056) • WIN: 0.423J • WOUT: 1/2mv² • 1/2(.052)(.45)² • WOUT: 0.0053J (.0053/.423)100= 1.3%
Citations The Physics Classroom.1996-2011. <http://www.physicsclassroom.com/class/energy/u5l1b.cf m>. Kinetic Energy. August 2000. <http://hyperphysics.phy- astr.gsu.edu/hbase/ke.html>. Mr. Jones EIA Energy Kids. U.S Energy Information Association. 3 March 2011 <http://www.eia.doe.gov/kids/energy.cfm?page=solar_home- basics>. Jones, Eric. Personal Interview. 3 March 2011.