The angular speed of the system immediately after the collision is, ωf = M( v cos∅ )D / I.
The object's rotating speed is known as its angular speed. In radians, the distance traveled is denoted by the symbol. The amount of time is expressed in seconds. The angular speed is therefore expressed in radians per second or rad/s. It is a scalar measurement of the rotating object.
In terms of the system's parameters and I, the angular speed ωf upon collision can be represented as
Considering the conservation of angular momentum:
Li = Lf
M( v cos∅ ) D = ( ML^2 / 3 + mD^2 ) wf
where ; ( ML^2 / 3 + mD^2 ) = I ( Inertia )
In terms of system parameters and I
ωf = M( v cos∅ )D / I
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