Study Guide -- Rotation (Mr. Rogers AP Physics C )

 Unit Plan Practice Test Study Guide
 Mathematical Models
 Rotational Inertia Linkage Equations--link the rotational & linear worlds I = ∫ x2 ∙ dm x = rq parallel axis theorem v = rw I = Icm + mD2 a = ra t = (F) x (r)
 Key Principles
Linear vs. Rotational Worlds: For every linear motion equation and principle there is a rotational counterpart. In other words if you know the equations and principles of motion in the linear world you know them in the rotational world.

 Quantity Linear Rotational inertia m = mass I = rotational inertia displacement x = linear displacement θ = angular displacement velocity v = linear velocity ω = angular velocity acceleration a = linear acceleration α = angular acceleration force F = force t = torque momentum P = linear momentum L = angular momentum
 Problem Solving Tips: Rotation
 Energy: Rotational and linear kinetic energy are additive since they are both scalars and forms of energy. Momentum: Rotational and linear are never additive since they are totally different types of vectors
 Example Problems
 yo-yo problems rod and mass collisions swinging rod problems belt problems incline problems

 Vocabulary
 angular displacement angular velocity angular acceleration angular momentum angular kinetic energy
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