What is the angular momentum of an object with a mass of #5 kg# that moves along a circular path of radius #8 m# at a frequency of # 6 Hz #?

1 Answer
Mar 7, 2018

Answer:

The angular momentum is #=12063.7kgm^2s^-1#

Explanation:

The angular momentum is #L=Iomega#

where #I# is the moment of inertia

The mass of the object is #m=5kg#

The radius of the path is #r=8m#

The moment of inertia of the object is given by

#I=mr^2#

#=5*8^2= 320 kgm^2#

The frequency is #f=6Hz#

The angular velocity is #omega=2pif=2*6*pi=12pirads^-1#

The angular momentum is

#L=Iomega=320*12pi=12063.7kgm^2s^-1#