A centrifuge accelerates uniformly from rest to 13000 rpm in 220 s . through how many revolutions did it turn in this time?

We have the following angular velocity:
 w = 13000 rpm
 We are going to convert to revolutions per second.
 We have then:
 w = 13000 * (1/60)
 w = 216.6666667 rev / sec
 We now multiply the angular velocity by time:
 (216.6666667) * (220)
 = 47666.66667 rev
 Rounding:
 47667 rev
 Answer:
 it did turn about 47667 rev in this time