Given Â
Initial angular speed  (?0 ) =
0
Final angular speed  (? )  Â
=Â Â Â 44.4rad/s
Radius of
ball            (r
)Â Â Â Â =Â Â Â 4.3
cm                                                       Â
                                       Â
=Â Â Â 0.043 m
  Â
Angular
acceleration    (?)   Â
=Â Â 245 rad/s2
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  Â
The third equation of motion in rotational motion is
?2=?02 + 2 ? ?
(44.4 rad/s)2 =(0)2 + 2 ( 245
rad/s2) ( ? )
?The angular displacement (?) =4.023 rad
Length of
incline   L   =   ?
r
                              L   = Â
4.023rad x 0.043 m
                                   =
0.173 m