Final answer:
A point on the edge of the tire moves approximately 360 degrees in 1/4 second.
Step-by-step explanation:
To find the number of degrees a point on the edge of the tire moves in 1/4 second, we need to find the angular displacement. The formula to calculate the angular displacement is:
Angular Displacement = Angular Velocity x Time
We are given that the tire rotates 480 revolutions per minute, which is equal to 480 x 2π radians per minute. To convert it to radians per second, we divide by 60:
Angular Velocity = (480 x 2π) / 60 = 16π radians per second
Now, we can calculate the angular displacement:
Angular Displacement = (16π radians per second) x (1/4 second) = 4π radians => 4π radians is approximately equal to 12.57 radians.
Therefore, a point on the edge of the tire moves approximately 12.57 radians in 1/4 second, or approximately 360 degrees.