Step 1 :Convert the rotations per minute to rotations per second: \(\frac{720}{60} = 12\) rotations per second.
Step 2 :Calculate how much rotation happens in \(\frac{1}{6}\) of a second: \(12 \times \frac{1}{6} = 2\) rotations.
Step 3 :Since one full rotation is 360 degrees, multiply the number of rotations by 360 to get the rotation in degrees: \(2 \times 360 = 720\) degrees.
Step 4 :Final Answer: The point on the edge of the tire moves through \(\boxed{720}\) degrees in \(\frac{1}{6}\) sec.