Rotation Flashcards
1
Q
What are the equations for angular momentum?
A
L = r x p
L = I x ω
L = mvr
2
Q
What are the equations for Torque?
A
τ = r x f
τ = d/dt L
τ = α x l
τ = w / θ
3
Q
What are the equation for Angular velocity?
A
ω = Δθ/Δt = 2π/T = 2πf
ω = d/dt θ
4
Q
What are the equations for Moment of inertia?
A
I = mr²
I = L / ω
I = τ / α
5
Q
What is the equation for Rotational kinetic energy?
A
E = 0.5 I ω²
6
Q
What is the equation for force in uniform circular motion?
A
F = -mrω² x r(hat)
r(hat) is unit vector
7
Q
What is the equation for the force in a non uniform circular motion?
A
F = (-mrω² x r(hat)) + (mrαθ)
(-mrω² x r(hat)) is the centripetal force
(mrαθ) is the tangental force
