# What is the angular momentum of an object with a mass of 3 kg that moves along a circular path of radius 9 m at a frequency of  2/3 Hz ?

## I

Dec 25, 2017

The angular momentum is $= 1017.9 k g {m}^{2} {s}^{-} 1$

#### Explanation:

The angular momentum is $L = I \omega$

where $I$ is the moment of inertia

For the object , the moment of nertia is

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

The mass is $m = 3 k g$

The radius is $r = 9 m$

So, $I = 3 \cdot {\left(9\right)}^{2} = 243 k g {m}^{2}$

The angular velocity is

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

The angular momentum is

$L = 243 \cdot \frac{4}{3} \pi = 1017.9 k g {m}^{2} {s}^{-} 1$