PHY 122 last lab report - PHY 122 Lab Name Rotational...

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Unformatted text preview: PHY 122: Lab Name: Rotational Motion Group Number:3 Class Number: 72037 Time: Monday 6:00 – 7:50 PM TA’s Name: Armin Zjajo Objective: The objective of this lab is to investigate the tendency of an object to resist angular acceleration, inertia. The different moment of inertia that each object has can be calculated through this experiment and through the loss of energy calculated systematically by shape. A second objective of this lab was to examine whether conservation of energy was conserved or not. Experimental Data: Mass of block: 0.4346 kg Long axis diameter: 0.0499 m Short axis diameter: 0.0467 Short medium pulley radius : 0.01362 Large pulley radius = 0.0367 Block side Lengths (m) L 0.0499 W 0.040 H 0.030 Long axis, α Short axis, α Short (medium) pulley 25.3 ± 0.062 rad/s^2 4.76 ± 0.048 rad/s2 Large pulley 9.58 ± 0.048 rad/s62 5.63 ± 1.2 rad/s^2 Short axis, medium pulley Theta initial 0 radians Theta final 10.071 Data analysis: Part 1: Theoretical Moments of Inertia , = ( + ) = (. )(. + . ) = . ×− ∗ ∆, = √( ×∆) + ( ×∆) + ( ×∆) = √( (. )(. )(. )) + ( (. )(. )(. )) + ( (. + . )(. )) =. ×− ∗ , = (. )(. + . ) = . ×− ∗ ( + ) = ∆, = √( ×∆) + ( ×∆) + ( ×∆) = √( (. )(. )(. )) + ( (. )(. )(. )) + ( (. + . )(. )) = . ×− Part II: Measured Moments of Inertia of Large Pulley, Long Axis − 0.4346×9.81×0.0367 )= − 2 = − 0.4346×10.3672 30.3 = 0.0045785 ∗ 2 − ( ∆ = √( . ×. ×. ×∆) = − ×∆ = − ∗ . = . ×− . Part III: Energy of conservation ∆ + ∆ = 0 1 ( + 2 )(2 − 2 ) + (− + ) = 0 2 , 1 ((. ×− ∗ ) + . − . )(. − . ) 2 + . ×. ×. (−. + ) =−. Results: Static Moment, Short Static Moment, Long Dynamic Moment, Long Change in energy 1.48×10−4 ∗ 2 ± 1.8192×10−5 ∗ 2 5.4325×10−4 ∗ 2 ± 1.4528×10−5 43.46×102 ± 4.77×10−4 -1.6311 J Conclusion: Throughout this lab the moment of inertia was examined, in which inertia was defined as the tendency of an object resisting angular acceleration. It was proven that each object will have a different moment of inertia. This was scientifically proven through the loss of energy and or calculated systematically by shape. The process of this experiment was to measure the angular acceleration of a mass pulley system about the blocks being tested and how to identify how it could have different moments of inertia. The sensor captured the block rotations while gravity unwrapped the string wound of the pulley. As it was first theorized, static and dynamic moment of inertia were consistent and the radius of the pulleys increased. When the radius was decreased the radius and the axis length was increased, the angular acceleration would also increase. The presence of friction affected the conservation of energy, as without it e, energy would be conserved. A random error could have been made the failure to load the string on the pulley at the same time. A systematic error could have occurred in the sensor as it can have been already used for many times by other lab group.s ...
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