Question

Question #2f31c

Answer 1

Recall:
The term velocity is really just going to refer to something's positing as a function of time. So an angular velocity is just measuring how much its angle is changing over time.

Explanation:

If the object is going around in a circle, ("swung around" implies that it is attached to a rope of some kind going in a circle), it will pass through 360 degrees, or 2`pi` radians per rotation.

If it is swung around 50 times in 1 minute, its angular velocity can be calculated as:

`alpha` = (50 revolutions `/` minute) `*` (2`pi` radians `/` revolution)
`alpha` = 100`pi` radians `/` minute

Or, alternatively,

`alpha` = (50 revolutions `/` minute) `*` (360 degrees `/` revolution)
`alpha` = 18,000 degrees `/` minute

Note that the mass given in this problem is irrelevant. Just because something has a different mass will not change how fast its angle is changing.