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AP Physics C Rotational Motion Equations
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Gravity
Terms in this set (20)
Torque Equation
F x Lever arm
Another Torque Equation
I α
Center of mass
1/M ∑rm
or
1/M ∫r dm
Parallel axis theorem
I=Icm+md²
Inet
I=I₁ + I₂ +I₃
kinematic equation changes
x = θ
w = ω
a = α
counterclockwise.....clockwise
+...-
x to θ
x=rθ
v to ω
v=rω
a(tan) to α
a=rα
a(c) or a(radial)
rω²
Point mass m at a distance r from the axis of rotation.
I=mr²
Rod of length L and mass m
(Axis of rotation at the end of the rod)
I= ¹/₃ mL²
Rod of length L and mass m (through the center)
I= ¹/₁₂ mL²
Thin circular hoop (or cylindrical shell) of radius r and mass m
I = mr²
Thin, solid disk (or solid cylinder) of radius r and mass m
I= ¹/₂ mr²
Donut
I= ¹/₂ m(r₁²+r₂²)
1-D object
L (length)
2-D or 3-D object
r (radius)
L
Iω
;