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.





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  



angular displacement angular velocity angular acceleration
angular momentum angular kinetic energy  

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