Rotational Motion PHYS_111 (1)

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Brigham Young University, Idaho *

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106

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Physics

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Dec 6, 2023

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docx

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8

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ANALYZING INERTIA: ROD AND DISK
Author(s)/Collaborators -Everett Beck, Tyler Brumbles, Matthew Bryant, Amanda Carrizo, Ivana Fernandez Rosas, Jack Franco Date 4/5/2023 Keywords Newton’s Laws, Oscillation, Pendulum, Kinetic Energy, Potential Energy, Time, Experimentation, Excel Institution Physics 111L, Department of Physics, University of Idaho, Moscow, 8384 Introduction In this lab we will expand our explorations in rotational motion and the concept of moment of inertia. We will be measuring the distance, mass, radius, weight, and the length of the rod and disk to attempt to quantify our results. We will then translate that data to calculate the moment of inertia of the object and analyze the relationship between the torque and the resulting angular acceleration and velocity of the objects. The results were then analyzed and interpreted using excel. Hypothesis The previous knowledge gained through past labs and experiments will be used to understand and calculate centrifugal motion. By using concepts we have learned, we can integrate them into the scientific process to better understand physics, by better understanding centrifugal force. Rotational motion according to us, can be defined as the motion produced by a force exerted on an object that is bound to a center point with a radius equivalent to the range. Procedure We started our experiment by setting up the PASCO program and proceeded to link it to the PASCO Universal Interface and the sensor. The sensor allowed us to collect the motion produced in the objects with different masses added. We measured the radius of the centered disk where we set the rotational objects and also found the radius and masses of the objects provided for the lab being the rotational motion disk and sort of a ruler like (bar), after that we proceeded to run the experiment by adding 200 kg for the first initial trial then increased by adding 200 kg for the rest of the trails a total of 4 trials. For each object we did 4 trails for the disk and for the bar motional object and kept the same weights through both experiments. Through PASCO program we were able to collect the data and observe the movement of the objects by looking at the graph produced and took the value of the angular velocity. Materials Used : Rotary motion sensor • Rigid aluminum platform • Lightweight thread • Mass hanger and assorted masses • Scale • Bubble level • Vernier calipers • Personal computer with PASCO Capstone soft- ware Formulas Calculation of inertia. F d p d t Page | 3
Calculation of inertia with mass and velocity F d p d t m a Calculation of kinetic energy KE 1 2 m v 2 Calculation of tangential units over time v rw Calculation of tangential units over time combined with mass of velocity and kinetic energy KE 1 2 m r 2 w 2 Calculation of inertia rotation point of mass I = mr 2 Calculation of rotational Kinetic energy KE = 1 2 I w 2 Calculation of Angular momentum L = lw Calculation of rotational force T = T ×F Calculation of torque T = dL dt = I dw dt = Ia Angular acceleration a r = ar Calculation of centripetal component acceleration a r = v 2 T = w 2 r Sum of moments of inertia for each point of mass I = i ∆ m i r i 2 Axis of rotation of each infinitesimal mass I = r 2 p ( r ) dV Calculation of the consistent linear mass I = r 2 ρ ( r ) dV ¿ R 2 λdL ¿ λR 2 2 π 0 Rdθ ¿ λR 3 2 π 0 ¿ 2 πλR 3 Calculation of the linear mass density M = λL = λ 2 πR I = MR 2 Page | 3
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