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Calibration of clinometers for the alignment of muon chambers in the CMS experiment. Thomas MOSCHOUTIS, Marion RIPERT and Georgia KARAGIORGI with Dr HOHLMANN and Dr CARAWAY Florida Academy of Science – F.S.U., Tampa, 18 Mars 2005
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Global view of the Compact Muon Solenoid
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View of one Disk Dual-axis clinometers for monitoring orientation of transfer pates:
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Calibration bench CIinometer sensing Liquid calibrated Linear mover Θ
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Error calculation Error in φ: –φ =Tan -1 (L/H) –σ φ =(∂φ/∂L)*σ L +(∂φ/∂H)*σ H =(1/(L+H))*σ L -2L/(H 2 +H*L)*σ H Using the same formula: –σ Ω =(1/(L+M))*σ L -2L/(M 2 +M*L)*σ M Taking ρ=cos-1(M/K) and M→0 –σ ρ =σ M /K So the total error is: –σ θ =(σ φ 2 +σ Ω 2 +σ ρ 2 ) 1/2 M K ρ φ L H
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First test curve
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Zero degree measurement Pendulum clinometer Long rod to get more precision
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Problem induced by the plate thickness
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Second test curve
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The 6 different mounting plates Clinometer’s place
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Next setup Linear mover Adapter Tilting base Mounting plate
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Adaptable base plate
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Laser 0 degree measurement Tube filled with colored water Plane that needs to be horizontal (with a mirror fixed perpendicularly) Rotary laser level Mirror Laser beam Above viewSide view of the installation
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Sensor Response vs. Angle theta
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References CERN web page: http://www.CERN.chwww.CERN.ch Dr HOLMANN web page: http://my.fit.edu/~hohlmann/ FIT PSS web site: http://pss.fit.edu
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