# 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 ?

Mar 7, 2018

The angular momentum is $= 12063.7 k g {m}^{2} {s}^{-} 1$

#### Explanation:

The angular momentum is $L = I \omega$

where $I$ is the moment of inertia

The mass of the object is $m = 5 k g$

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

The moment of inertia of the object is given by

$I = m {r}^{2}$

$= 5 \cdot {8}^{2} = 320 k g {m}^{2}$

The frequency is $f = 6 H z$

The angular velocity is $\omega = 2 \pi f = 2 \cdot 6 \cdot \pi = 12 \pi r a {\mathrm{ds}}^{-} 1$

The angular momentum is

$L = I \omega = 320 \cdot 12 \pi = 12063.7 k g {m}^{2} {s}^{-} 1$