phys172_rec10_echinitz.ipynb - Colaboratory

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3/22/23, 1:10 PM phys172_rec10_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1Qs0UEMvxIcEF5xS_vGi8KgUbyaNAkqp4#scrollTo=dvp5SGMCSw7e&printMode=true 1/6 Chinitz Eliana W 12:30 12 Caitlyn Bowerman, Aliya Carmon, Tatum LeMaire Part 1: Determine the wheel’s speed when you have pushed it forward a distance . Problem 1: Consider a bicycle wheel, radius , with rim of mass and axle of mass . The masses of the wheel’s thin spokes are so small that we will neglect them. Initially, the wheel is resting on a horizontal surface, and you hold its axle, a hand on each side of the wheel, so that it doesn’t tip over. At time t = 0s you exert a horizontal force of magnitude F on the axle so that the wheel begins to roll without slipping.
3/22/23, 1:10 PM phys172_rec10_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1Qs0UEMvxIcEF5xS_vGi8KgUbyaNAkqp4#scrollTo=dvp5SGMCSw7e&printMode=true 2/6 1.1 What principle(s)/concept(s) will you need to help solve the problem? Energy princple, translation and rotational KE 1.2 What assumption(s)/approximation(s) do you need to make to better help you solve the problem? wheel rolls without slipping, air resitance is negligable, the spokes has negligable mass 1.3 Identify your system (i.e. objects experiencing a change) and surroundings (i.e. objects causing the change). system-wheel, force acting on it, earth surroundings- nothing 1.4 Will you use a point particle or extended system model? Explain your reasoning. extended, the wheel is rolling so there is rotational energy
3/22/23, 1:10 PM phys172_rec10_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1Qs0UEMvxIcEF5xS_vGi8KgUbyaNAkqp4#scrollTo=dvp5SGMCSw7e&printMode=true 3/6 Part 2: Determine the magnitude of the friction force that the surface exerts on the wheel while you push it. 2.1 What principle(s)/concept(s) will you need to help solve the problem? friction force, kinetic energy 2.2 What assumption(s)/approximation(s) do you need to make to better help you solve the problem? air resitance is negligable, the mass of the spokes is negligable 2.3 Identify your system (i.e. objects experiencing a change) and surroundings (i.e. objects causing the change). system-wheel surroundings-earth, group 2.4 Will you use a point particle or extended system model? Explain your reasoning.
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3/22/23, 1:10 PM phys172_rec10_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1Qs0UEMvxIcEF5xS_vGi8KgUbyaNAkqp4#scrollTo=dvp5SGMCSw7e&printMode=true 4/6 point particle, we are treating the wheel like it is not rotating Write your answer for Part 1. Write your answer for Part 2.
3/22/23, 1:10 PM phys172_rec10_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1Qs0UEMvxIcEF5xS_vGi8KgUbyaNAkqp4#scrollTo=dvp5SGMCSw7e&printMode=true 5/6 Very Con±dent Slightly Con±dent Slightly Uncon±dent Very Con±dent How con±dent are you about your answers? Very con±dent 3.1 Does your answer seem appropriate? Why or why not? Yes, the units cancel out and the velocity is normally a square root that has the denomenator as the total mass in energy problems. 3.2 Are there other ways to solve this problem? Explain how or why not. Momentum princple. It would require much more manipulation to determine the velocity but it is possible because we are given the time and the force applied. A scienti±c argument consists of three pieces: and . A CLAIM is every decision you took to solve the problem i.e. choice of principle/concept, system/surrounding,approximation/assumption, or key steps you used in your problem-solving strategy – It is an assertion that that the decision was the right one to answer the key question(s) in the problem statement. EVIDENCE is the information either provided in the problem or something that you know (e.g. from the physics class) to be factually correct that helped you make the decision above. REASONING is an explanation of why the EVIDENCE supports the CLAIM . What CLAIMS support your solution? What EVIDENCE supports your solution? What REASONING supports your solution? 3.3 In words, construct an argument to explain, elaborate and justify your solution (Parts 1 & 2 together). We claimed that air restiance is negligable. The wheel is moving at a relatively low speed and there is nothing provided in the problem to solve for air resitance. Thus we cannot solve for air resitance so it must be negliable. The spokes of the wheel have negliable mass. Relative to the mass of the wheel, the mass of the spoke is so small that it doens't greatly affect the velocity. This makes the total mass M+m for both problems. The wheel is in the system. In both parts 1 and 2 the forces are acting upon the wheel. This means that all forces applied will be affecting the movement of the wheel allowing us to make calculations regarding the velocity and friction force. 3.4 Create another problem in a different context (i.e. different object in system/ surroundings, different orientation of objects, different variables given or asked for)
3/22/23, 1:10 PM phys172_rec10_echinitz.ipynb - Colaboratory https://colab.research.google.com/drive/1Qs0UEMvxIcEF5xS_vGi8KgUbyaNAkqp4#scrollTo=dvp5SGMCSw7e&printMode=true 6/6 that utilizes same principles/concept and similar solution strategy. How is it similar to the problem just solved? You have a bicycle wheel with radius R and rim of mass M and axle of mass m. The masses of the wheel’s spokes are s so we must include them in calculations. Initially, the wheel is at rest on a horizontal surface, and you hold its axle so that it doesn’t tip over. At time t = 0s you exert a horizontal force of magnitude F on the axle so that the wheel rolls without slipping. After 10 seconds, what is the velocity of the wheel and how much work has been done by the you.
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