# What is the angular momentum of an object with a mass of 2 kg that moves along a circular path of radius 4 m at a frequency of  12 Hz ?

Mar 6, 2016

$P = 768 \pi \text{ } k g \cdot {m}^{2} \cdot {s}^{-} 1$

#### Explanation:

$P = I \cdot \omega$
$I = m \cdot {r}^{2} \text{ Moment of inertia}$
$\omega = 2 \cdot \pi \cdot f$
$P = m \cdot {r}^{2} \cdot 2 \cdot \pi \cdot f$
$P = 2 \cdot {4}^{2} \cdot 2 \cdot \pi \cdot 12$
$P = 4 \cdot 16 \cdot 12 \cdot \pi \text{ } P = 64 \cdot 12 \cdot \pi$
$P = 768 \pi \text{ } k g \cdot {m}^{2} \cdot {s}^{-} 1$