PES 1150 post 11

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University of Colorado, Colorado Springs *

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1150

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Physics

Date

Apr 3, 2024

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docx

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8

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Moment of Inertia Name: Objective The purpose of this lab was to determine how to measure the moments of inertia with a rotating body and how the moment of inertia changes with mass and location. The other purpose of this lab was to recognize what rotational inertia was and how it changes with the size, shape, and mass distribution of an object. Data and Calculations Part I: Moment of Inertia of the apparatus (I o ) 1.) Measure the hanging mass and the radius of the pulley. Hanging Mass (scale) = 0.1426 kg Pulley radius = 0.01872 m
P E S 1 1 5 0 - G E N E R A L P H Y S I C S L A B I 2.) Remove all masses from the rotating arm to get the Moment of inertia of just the bare arm system . Retain a sample graph of the experiment with all the needed curve fit information. 3.) Average at least 3 drops to improve the value of your final measurement. Trial Angular acceleration (rad/s 2 ) 1 2.20 2 2.24 3 2.26 4 2.25 Average 2.2375 (2.24) 4.) From this data calculate the Moment of inertia of the bare arm (I o ). Moment of Inertia - 2
P E S 1 1 5 0 - G E N E R A L P H Y S I C S L A B I Part II: Moment of Inertia of point-masses (I 12 ) 1.) Measure the hanging mass and record the radius of the pulley the mass is pulling on. 2.) Measure and record the mass of the point masses you plan to use in this experiment. Include the nut and bolt. 3.) Perform several experiments with the point masses in different configurations. Experiment Radius of Mass #1 (m) Radius of Mass #2 (m) Angular acceleration (rad/s 2 ) 1 0.20 0.20 0.678 2 0.20 0.17 0.735 3 0.20 0.14 0.802 4 0.20 0.11 0.863 5 0.20 0.08 0.922 6 0.20 0.05 0.971 4.) Retain a sample graph of one of the experiments. Moment of Inertia - 3 I o = r ( mg ) ( mr 2 ) I o = 0.01872 m 2.24 rad / s 2 ¿ I o = 0.011641 kg ( m 2 ) I o (arm) = 0.01164 kg · m 2 Hanging Mass (scale) = 0.1426 kg Pulley radius = 0.01871 m Point Mass #1 (scale) = 0.2703 kg Point Mass #2 (scale) = 0.2682 kg
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