Arecord of radius 15 cm is spinning at 45 revolutions per minute. what is the linear speed, in cm/min, of a point on the rim of the record?

What you need to know for this case is that the linear velocity is defined as the product of the angular velocity by the radius.
 We have then:
 v = w * r
 Substituting the values:
 v = (45) * (15) = 675
 v = 675 cm / min
 
 The linear speed, in cm / min, of a point on the rim of the record is:
 v = 675 cm / min