What is the angular momentum of an object with a mass of #5 kg# that moves along a circular path of radius #9 m# at a frequency of # 8 Hz #?
The moment of inertia for this point object may be given by
(This is an approximation whose accuracy depends on how large the dimensions of the object is in comparison to the radius of its path, otherwise we must use the more precise definition of moment of inertia, ie
Furthermore, angular frequency may be given by
Hence the magnitude of the angular momentum is
Alternatively, we could also have used the definition of angular momentum :
In either case, the direction of the angular momentum vector