What is the angular momentum of a rod with a mass of $15 kg$ and length of $7 m$ that is spinning around its center at $19 Hz$ ?

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Answer 1 · 2018-01-16T06:32:23

The angular momentum is $=7312.1kgm^2s^-1$

$"Angular momentium" (kgm^2s^-1)="Moment of inertia"(kgm^2)xx"Angular velocity "(rads^-1)$

The angular momentum is $L=Iomega$

and $omega$ the angular velocity

The mass of the rod is $m=15kg$

The length of the rod is $L=7m$

The moment of inertia of a rod, rotating about the center is

$I=1/12*mL^2$

$=1/12*15*7^2= 61.25 kgm^2$

The frequency is $f=19Hz$

The angular velocity is $omega=2pif=2*19*pi=38pirads^-1$

The angular momentum is

$L=Iomega=61.25*38pi=7312.1kgm^2s^-1$

What is the angular momentum of a rod with a mass of 15 kg15 kg and length of 7 m7 m that is spinning around its center at 19 Hz19 Hz?