Moment of Inertia Gizmo 2021

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Directions: Follow the instructions to go through the simulation. Respond to the questions and prompts in the orange boxes. Student Exploration: Moment of Inertia Vocabulary​:​ angular velocity... , linear velocity, moment of inertia, rotational kinetic energy, translational kinetic energy Prior Knowledge Questions ​(Do these BEFORE using the Gizmo.) At the finale of her routine, a figure skater starts to spin slowly in the middle of the ice rink, her arms and legs artfully outstretched. 1. What will happen as she stands up straight and pulls her arms in? 2. Why do you think this will happen? Gizmo Warm-up The ​Moment of Inertia​ Gizmo allows you to explore the factors that affect how quickly objects spin. The Gizmo shows a weightless turntable with several pegs. You can place the purple 1-kg masses on any of the pegs. When the Gizmo opens, there is a single 1-kg mass located 5 m from the center. 1. Click ​Play ​( ). What happens? 2. The speed of rotation is described by ​angular velocity​ (​ω​), which is measured in radians per second. There are 2​π​ radians (6.28 radians) in a circle. 3. Click ​Reset ​( ). Move the mass so that it is only 1 meter from the center (​r​ = 1). Reproduction for educational use only. Public sharing or posting prohibited. © 2020 ExploreLearning™ All rights reserved Name: Abril Guillen Moreno Date: 1/19/2021 Her speed would increase. This is due to the fact that the center of mass is centrally located in the middle. The table spins. What is the current angular velocity? ω ​= 4 rad/s A. Click ​Play​. What is the angular velocity now? ω ​= 20 rad/s B. How is this situation similar to a spinning skater? The closer the mass gets to the center the more itsIntroduction:​ For a spinning turntable, two types of velocity are important. As you learned, the angular velocity (​ω​) describes how quickly the whole disk is spinning in radians per second. An angular velocity of 6.28 rad/s describes a disk that makes one full revolution every second. You can also describe the ​linear velocity​ (​v​) of a point on the turntable. Linear velocity is simply the speed and direction of a point at an instant in time. Linear velocity is measured in meters per second. Question: How can you predict angular velocity based on the total energy of the turntable and how its mass is distributed? 1. Explore​: Experiment with the Gizmo to answer the following two questions: A. How does increasing the mass of the turntable affect its angular velocity? B. How does increasing the average distance of the masses from the center affect the angular velocity of the turntable? [Show More]

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