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Study Guide -- Rotation (Mr. Rogers AP Physics C ) |
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Rotational Inertia |
Linkage Equations--link the rotational &
linear worlds |
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I
= ∫ x2
∙ dm |
x = rq |
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parallel axis theorem |
v = rw |
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I = Icm + mD2 |
a = ra |
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t = (F) x (r) |
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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.
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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 |
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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 |
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| yo-yo problems |
rod and mass collisions |
| swinging rod problems |
belt
problems |
| incline problems |
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| angular displacement |
angular velocity |
angular acceleration |
| angular momentum |
angular kinetic energy |
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