Physics > Lab Experiment > Lab 10: Rotational Motion PHYS 2305 (All)

Lab 10: Rotational Motion PHYS 2305

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Lab 10: Rotational Motion PHYS 2305 Objectives To study the kinematics of rotational motion including angular velocity and acceleration To explore rotational inertia To study energy in a system w... ith rotational motion To study the conservation of angular momentum Recommended Background Reading Knight, Chapter 12 Introduction Rotational Kinematics This brief introduction is a reminder of some of the essential concepts and formulae related to this topic; it is not a substitute for doing the required reading in the textbook on this topic. These kinematic quantities describe the rotational motion about a fixed axis: the angular displacement θ, the angular velocity ω=dθ/dt, and the angular acceleration α=d2θ/dt2. For rotational motion with constant angular acceleration α, theangular velocity varies linearly with time, and the angular displacement varies quadratically with time, ( ??) = ?? + ?? ?? + 12 ??2 Equation 10. 2 ( ??) = ?? + ?? Equation 10. 1 Name ____________________________ Date _____________________________ GTA Name _______________________ Lab Partner _______________________ Quad & Seat ______________________ CRN ____________________________ Personal use only, do not reproduce. 2020-11-10 [email protected] Personal use only, do not reproduce. 2020-11-10 [email protected] Personal use only, do not reproduce. 2020-11-10 [email protected] Personal use only, do not reproduce. 2020-11-10 [email protected] Personal use only, do not reproduce. 2020-11-10 [email protected] Personal use only, do not reproduce. 2020-11-10 [email protected] Personal use only, do not reproduce. 2020-11-10 [email protected] 10: Rotational Motion 180 Rotational Kinetic Energy and Moment of Inertia The kinetic energy of a rotating object is given by ???????? = 1 2 ?? 2 Equation 10. 3 where ?? is the moment of inertia of the object about the axis of rotation. For a point mass ?? that moves in a circle with radius ??, the moment of inertia of that mass about the axis of rotation is given by ?? = ????2 Equation 10. 4 For extended objects, you can determine theirmoments of inertia by integrating over their mass distributions. Table10.1provides some moments of inertia that are relevant for this lab: Table 10. 1 Object and axis Picture Moment of Inertia ( ) Solid Disk of mass and radius , about the center Diagram by Guy Vandegrift/CC BY-SA 4.0 1 2 ????2 Ring of mass , inner radius ??, outer radius ??, about the center Diagram by Guy Vandegrift/CC BY-SA 4.0 1 2 ??( ??12 + ??22 ) Personal use only, do not reproduce. 2020-11-10 [email protected] Personal use only, do not reproduce. 2020-11-10 [email protected] Personal use only, do not reproduce. 2020-11-10 [email protected] Personal use only, do not reproduce. 2020-11-10 [email protected] Personal use only, do not reproduce. 2020-11-10 m [Show More]