What is the angular momentum of an object with a mass of #3 kg# that moves along a circular path of radius #12 m# at a frequency of # 2/3 Hz #?

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Answer 1 · 2017-06-20T18:14:20

The angular momentum is #=1809.6kgm^2s^-1#

The angular momentum is #L=Iomega#

and #omega# is the angular velocity

The moment of inertia of the object is

#I=mr^2=3*12^2=432kgm^2#

The angular velocity is

#omega=2*pi*f=2pi*2/3=4/3pi rads^-1#

The angular momentum is

#L=I omega=432*4/3pi=1809.6kgm^2s^-1#