What is the angular momentum of an object with a mass of #7 kg# that moves along a circular path of radius #12 m# at a frequency of # 2/3 Hz #?

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1 Answer
Jan 29, 2016

Answer:

#L=1344\piNs^-1#

Explanation:

Angular momentum of an object is #L=mvr#

Given that #m=7kg#, #r=12m# and #\omega=4\pi^c/3# (They had given us linear frequency, not angular frequency)

They haven't given us #v# directly. But, we know that #v=\omegar#, so let's get that into the angular momentum equation, which means
#L=m\omegar^2#

I'm sure you'll now understand how I got that #\pi# there in the answer now.