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How does angular momentum exist if the tangential velocity of a rotating body is constantly changing?
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angular momentum \[L = I*\omega\]Here omega is the angular velocity and not the tangential velocity so therefore angular momentum doesn't depend on tangential velocity.And also I is the Inertia of the rotating body .
"Angular velocity is completely determined by the perpendicular (tangential) component." http://en.wikipedia.org/wiki/Angular_velocity
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