# What is the angular momentum of a rod with a mass of #8 kg# and length of #6 m# that is spinning around its center at # 5 Hz#?

##### 1 Answer

Dec 28, 2016

#### Explanation:

Angular momentum is given by

The moment of inertia of a thin, rigid rod rotating about its center is given by

Given that

#omega=2pif=2pi(5s^-1)=10pi(rad)/s#

Given

#I=1/12ML^2=1/12(8kg)(6m)^2=24kgm^2#

Using our determined values for

#vecL=Iomega=(10pi(rad)/s)(24kgm^2)=240pi(kgm^2)/s#

#=>vecL~~754(kgm^2)/s#