# What is the angular momentum of an object with a mass of 7 kg that moves along a circular path of radius 2 m at a frequency of  5 Hz ?

Feb 13, 2017

The angular momentum is $= 879.6 k g {m}^{2} {s}^{- 1}$

#### Explanation:

The angular momentum is $L = I \omega$

where $I$ is the moment of inertia

and $\omega$ is the angular speed

For the object, $I = \left(m {r}^{2}\right)$

So, $I = 7 \cdot {\left(2\right)}^{2} = 28 k g {m}^{2}$

$\omega = 5 \cdot 2 \pi = 10 \pi r a {\mathrm{ds}}^{-} 1$

$L = 28 \cdot 10 \pi = 879.6 k g {m}^{2} {s}^{- 1}$