Angular position
θ
radians
Angular displacement
\
Δθ
radians
Δθ= θf - θi
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Angular position
θ
radians
Angular displacement
\
Δθ
radians
Δθ= θf - θi
Angular velocity
⍵
rad/sec
Angular acceleration
⍺
rad/s/s
Counterclockwise rotation (CCW)
+
Clockwise rotation (CW)
-
An object traveling in a circle has 2 types of acceleration
Centripetal acceleration
Tangential acceleration
Torque
Torque due to gravity
𝜏 = r(mg)sin(θ)
Newton’s 1st Law for Rotation
Static equilibrium
Fx=0
Fy=0
𝜏=0
Newton’s 2nd Law for Rotation
𝜏net=I⍺
Rotational inertia
s (linear position) =
θr
v =
⍵r
a =
⍺r
\