Rotation Formulas Flashcards
1
Q
Angular Position (radian measure)
A
Θ = s/r
2
Q
convert rev to rad
A
1 rev = 360 °= 2π rad
3
Q
Angular displacement
A
△Θ= Θ2 - Θ1
4
Q
Angular Velocity and Speed (ω)
A
ω = △Θ/△t
5
Q
Instantaneous ω
A
ω = dΘ/dt
6
Q
Angular acceleration
A
a avg = △ω/ △t
7
Q
instantaneous angular acceleration
A
a = d ω/ dt
8
Q
Kinematic equations for constant angular acceleration
A
ω = ω0 + at
Θ - Θ0 = ω0t + 1/2 at^2
ω^2 = ω^20 + 2a(Θ - Θ0)
Θ - Θ0 = 1/2 ( ω0 + ω ) t
Θ - Θ0 = ωt + 1/2 at^2
9
Q
Linear and Angular Values Related
A
s = Θr
v = ωR
a = ar
a = v^2/r = ω^2r
10
Q
Period (T)
A
T = (2πr)/v = 2π/ω
11
Q
Rotational Kinetic Energy and Rotational Inertia
A
K = 1/2 Iω^2
12
Q
Rotational Inertia (I)
A
I = Σ mr^2
I = integral r^2
13
Q
Parallel Axis Theorem
A
I = Icom + Mh^2
14
Q
torque
A
t = rF sin phi
15
Q
newtons second law (angular)
A
torque = I (a)
