Unit 8 - Rotation

• Us​e representations of the relationship between force and torque. [LO 3.F.1.1, SP 1.4]
• Compare the torques on an object caused by various forces. [LO 3.F.1.2, SP 1.4]
• Estimate the torque on an object caused by various forces in comparison to other situations. [LO 3.F.1.3, SP 2.3]
• Design an experiment and analyze data testing a question about torques in a balanced rigid system. [LO 3.F.1.4, SP 4.1, SP 4.2, SP 5.1]
• Calculate torques on a two-dimensional system in static equilibrium, by examining a representation or model (such as a diagram or physical construction). [LO 3.F.1.5, SP 1.4, SP 2.2]
• Model verbally or visually the properties of a system based on its substructure and relate this to changes in the system properties over time as external variables are changed.

[LO 1.A.5.1, SP 1.1, SP 7.1]

• Use representations of the center of mass of an isolated two-object system to analyze the motion of the system qualitatively and semiquantitatively. [LO 4.A.1.1, SP 1.2, SP 1.4, SP 2.3, SP 6.4]
• Make predictions about the change in the angular velocity about an axis for an object when forces exerted on the object cause a torque about that axis. [LO 3.F.2.1, SP 6.4]
• Describe a representation and use it to analyze a situation in which several forces exerted on a rotating system of rigidly connected objects change the angular velocity and angular momentum of the system. [LO 4.D.1.1, SP 1.2,

SP 1.4]

• Plan data collection and analysis strategies designed to test the relationship between a torque exerted on an object and the change in angular velocity of that object about an axis. [LO 3.F.2.2, SP 4.1, SP 4.2, SP 5.1]
• In an unfamiliar context or using representations beyond equations, justify the selection of a mathematical routine to solve for the change in angular momentum of an object caused by torques exerted on the object. [LO 3.F.3.2, SP 2.1]
• Plan data collection strategies designed to establish that torque, angular velocity, angular acceleration, and angular momentum can be predicted accurately when the variables are treated as being clockwise or counterclockwise with respect to a well-defined axis of rotation, and refine the research question based on the examination of data.
• [LO 4.D.1.2, SP 3.2, SP 4.1, SP 4.2, SP 5.1, SP 5.3]
• Describe a model of a rotational system and use that model to analyze a situation in which angular momentum changes due to interaction with other objects or systems. [LO 4.D.2.1, SP 1.2, SP 1.4
• Plan a data collection and analysis strategy to determine the change in angular momentum of a system and relate it to interactions with other objects and systems. [LO 4.D.2.2, SP 4.2]
• Use appropriate mathematical routines to calculate values for initial or final angular momentum, or change in angular momentum of a system, or average torque or time during which the torque is exerted in analyzing a situation involving torque and angular momentum. [LO 4.D.3.1, SP 2.2]
• Plan a data collection strategy designed to test the relationship between the change in angular momentum of a system and the product of the average torque applied to the system and the time interval during which the torque is exerted. [LO 4.D.3.2, SP 4.1, SP 4.2]
• Do qualitative reasoning with compound objects. Do calculations with a fixed set of extended objects and point masses. [LO 5.E.2.1, SP 2.2]
• Make qualitative predictions about the angular momentum of a system for a situation in which there is no net external torque. [LO 5.E.1.1, SP 6.4, SP 7.2]
• Make calculations of quantities related to the angular momentum of a system when the net external torque on the system is zero. [LO 5.E.1.2, SP 2.1, SP 2.2]