# What is the angular momentum of an object with a mass of 4 kg that moves along a circular path of radius 30 m at a frequency of  15 Hz ?

Nov 21, 2016

The angular momentum is 339120$\approx 34 \times {10}^{4}$Joules-sec.

#### Explanation:

Angular Momentum$L = m {r}^{2} \omega$

and angular velocity $\omega = 2 \pi \nu$

Now substitute the '$\omega$' value in above equation we get,
$\implies L = m {r}^{2} \left(2 \pi \nu\right) = 2 \pi m \nu {r}^{2}$
Calculating with given numericals we get,
$L = 2 \left(3.14\right) \left(4 k g\right) \left(15 H z\right) {\left(30 m\right)}^{2} = 339 , 120 J s$