Step 1 :The tire is rotating 480 times per minute. This means it is rotating \(480 \times 360\) degrees per minute (since one full rotation is 360 degrees).
Step 2 :So, the total degrees rotated per minute is \(480 \times 360 = 172800\) degrees.
Step 3 :We need to find out how many degrees it rotates in half a second. There are 60 seconds in a minute, so half a second is \(\frac{1}{120}\) of a minute.
Step 4 :Therefore, we need to find \(\frac{1}{120}\) of the total degrees rotated per minute.
Step 5 :So, the degrees rotated in half a second is \(\frac{1}{120} \times 172800 = 1440\) degrees.
Step 6 :Final Answer: The point on the edge of the tire rotates \(\boxed{1440}\) degrees in \(\frac{1}{2}\) sec.