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

## I

##### 1 Answer
Jun 20, 2017

The angular momentum is $= 1809.6 k g {m}^{2} {s}^{-} 1$

#### Explanation:

The angular momentum is $L = I \omega$

where $I$ is the moment of inertia

and $\omega$ is the angular velocity

The moment of inertia of the object is

$I = m {r}^{2} = 3 \cdot {12}^{2} = 432 k g {m}^{2}$

The angular velocity is

$\omega = 2 \cdot \pi \cdot f = 2 \pi \cdot \frac{2}{3} = \frac{4}{3} \pi r a {\mathrm{ds}}^{-} 1$

The angular momentum is

$L = I \omega = 432 \cdot \frac{4}{3} \pi = 1809.6 k g {m}^{2} {s}^{-} 1$