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Black_Hole???

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A woman with a mass of 55.0 is standing on the rim of a large disk that is rotating at an angular velocity of 0.550 about an axis through its center. The disk has a mass of 106 and a radius of 4.10 .

a.)Calculate the magnitude of the total angular momentum of the woman-plus-disk system. (Assume that you can treat the woman as a point.)

Here is my attempt.

L = I(omega)

= [(1/2)mr^2]omega

= [(1/2)(106 kg + 55 kg)(4.10m)^2]*3.456 rad/s

= 5143.8 kg m^2/s

=4676.7 which is wrong anyone got any incite?