Relation of Angular to Linear Momentum

Recall (§B.3) that the momentum of a mass traveling with velocity in a straight line is given by

while the angular momentum of a point-mass rotating along a circle of radius at rad/s is given by

where . The

Expressing the angular momentum in terms of gives

Thus, the angular momentum is times the linear momentum .

Linear momentum can be viewed as a renormalized special case of angular momentum in which the radius of rotation goes to infinity.

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