On a ferris wheel, sarah observes that it takes 45 seconds for her chair to complete a full revolution. her chair is 30 feet from the axle of the ferris wheel. to the nearest hundredth, sarah’s angular velocity is radians per minute

For this case what you should know is that the angular velocity is defined as:
 w = revolutions / time
 Substituting values we have:
 w = 1/45 rev / sec
 We consider the following unit change:
 1 minute = 60 seconds
 1 revolution = 2pi radians
 Applying the transformation of units we have:
 
 
 To the nearest hundredth, Sarah's angular velocity is 8.38 radians per minute