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Rotational Motion, Figure_07_01_01ab, radian-degree-conversion,…
Rotational Motion
Angular Quantities
Arc length,s=rθ where r=radius of the circle,θ=angle(in radians)
Angular displacement = θ2-θ1 
VELOCITY
Angular velocity=rate of change of angular displacement with time. ω=θ/t
Instantaneous angular
velocity=dθ /dt
ACCELERATION
Angular acceleration(α)=rate of change of angular velocity with time
Instantaneous angular acceleration=dω/dt
Correspondence between linear
and angular quantities
s=rθ
v=rω
a=rα
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Frequency(f)=number of complete circles moved by the object in a unit time. Unit=Hz
f=1/T=ω/2π or ω=2πf
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Rotational Dynamics
Torque
F=ma, a=rα
F=mrα
F(r)=mrα(r)
Fr=mr^2α
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Rotational Kinetic Energy is the kinetic energy due to the rotation of an object and is part of its total kinetic energy.
Conservation of Energy
Work done due to torque
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TORQUE=product of force and lever arm.
Axis of rotation: The point where the object rotates.
Lever arm: Perpendicular distance from the axis of rotation to the line along which the force acts.
Constant Angular Acceleration
Rotational +Translational Motion = Rolling
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