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Experiment 11 Lab Report

# Experiment 11 Lab Report - 1 Experiment 11 Moment of...

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1 Experiment 11: Moment of Inertia PHYS 124-011 Instructor: Sijie Lin Steven Yi 11/17/06

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2 Abstract The purpose of this lab experiment is to better understand rotational dynamics. With the use of a rotating platform and various rotating bodies, we will be able to record data using a photogate and see how changes in torque and the moment of inertia affect the angular acceleration of the rotating apparatus. In the lab experiment we are expected to utilize the inertia equation (11.3 & 11.4) in the lab manual and be able to manipulate it to find each variable individually.
3 Data: Data table 1 Exercise 1: Rectangular Bar The data below was collected with the use of a meter stick, and lab scale. Spool Radius, r s : Bar Mass, M b : Bar Length, a : Bar Width, b : X-Values Y-Values Mass on Hanger (kg) total hanging mass, m h (kg) Rotational Acceleration, a (rad/s 2 ) Torque,t (Nm) 0.05 0.055 0.276 0.004585 0.07 0.075 0.412 0.006252 0.09 0.095 0.539 0.007918 0.11 0.115 0.653 0.009584 0.13 0.135 0.797 0.011249 0.15 0.155 0.891 0.012915 0.17 0.175 0.981 0.01458 0.19 0.195 1.093 0.016245 In the exercise we used a rectangular bar as our rotating body and the use of the photogate. In doing so we are able to collect the data in an x vs y coordinate system and finding the slope of the data graphed to determine the experimental moment of inertia of the bar. Slope of Graph 0.143 Experimental moment of Inertia of bar, I b 0.143 Theoretical moment of Inertia of bar, I b 0.0121 % Difference 17.49 % Work for finding the theoretical moment of inertia of the bar can be found in the calculations sections and the % difference can be found in the error analysis section.

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