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Lesson 11: Angular Motion - Coggle Diagram
Lesson 11: Angular Motion
a. Definition
refers to the movement of an object around a fixed point or axis and describes how an object rotates or revolves over time.
b. SI Units
θ = Angular Displacement, radian [rad]
ω = Angular Velocity, radian per second [rad/s]/ revolution per minute [rpm]
α = Angular Acceleration, radian per second squared [rad/s^2]
t = time [s]
ωi = initial angular velocity [rad/s]
ωf = final angular velocity [rad/s]
θi = initial angular displacement [rad]
θf = final angular displacement [rad]
s = linear displacement (metre [m])
r = radius (metre [m])
v = normal or tangential velocity (metre/second [m/s])
at = tangential acceleration (metre/second^2 [m/s^2])
an = normal or centripetal acceleration (metre/second^2 [m/s^2])
atotal = total acceleration (metre/second^2 [m/s^2])
c. Formulae
uniform angular motion
ωf = ωi + αt
θf = θi + ωit + ½αt^2
ωf^2 = ωi^2+2α (θf − θi)
between linear to rotational motion
s = rθ
v = rω
at = rα
an = rω^2 = v^2/r
body moving in circular motion
an = v^2/r
an = rω2
atotal^2 = at^2 + an^2
Unit Conversion
1 revolution = 360 degrees = 2π radians
1 rpm = 2π/60 rad/s
Motion
Pure Translational Motion: Every particle in the rigid body has the same instantaneous velocity (no rotation)
Pure Rotational Motion: Every particle in the rigid body has the same angular velocity and travels in circles around a fixed axis
