the turntable of a record player rotates at a rate of 11 1/3. A record with a radius of 15cm is being played. a punk kid throws a piece of gum that lands right on the edge of the record. What linear distance in meters does the gum travel if it stays on the record for 10 minutes? what will its acceleration be during this time?

What are the units on the rate you gave us? Meters per second, radians per second, or revolutions per second, perhaps?