What is the angular momentum of an object with a mass of #3 kg# that moves along a circular path of radius #9 m# at a frequency of # 2/3 Hz #?

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1 Answer
Dec 25, 2017

Answer:

The angular momentum is #=1017.9kgm^2s^-1#

Explanation:

The angular momentum is #L=Iomega#

where #I# is the moment of inertia

For the object , the moment of nertia is

#I=mr^2#

The mass is #m= 3kg#

The radius is #r=9m#

So, #I=3*(9)^2=243kgm^2#

The angular velocity is

#omega=2pif=2*pi*2/3=4/3pirads^-1#

The angular momentum is

#L=243*4/3pi=1017.9kgm^2s^-1#