Question

What is the angular momentum of an object with a mass of `5 kg` that moves along a circular path of radius `4 m` at a frequency of `4 Hz`?

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Answer 1

I'll illustrate it below.

Explanation:

The mass of the object is `m = 5 kg` and radius of the path is `r = 4 m`.

Now, frequency is `f = 4 Hz`
But, we know that, angular frequency `omega = 2pif`

Thus, `omega = 8pi` `radian` `s^-1`

Now, we have the relation from elementary dynamics that,

`L = Iomega` where `I` is the magnitude of the moment of inertia about the concerned axis.
Further, `I = mr^2` which implies that `L = momegar^2`

We have now deduced an expression for the angular momentum `L` in terms of mass `m`, angular velocity `omega` and radius of path `r`.

All you have to do now is plug in the values and get the final result. I won't be doing it for you though.
I'm leaving it as an exercise.

I hope it helped.