Ursula and her friends are playing hoop rolling. ursula rolls a large hoop on the ground. the hoop rotates 3/2pi radians in one second. how many revolutions does it make in 1 minute

If the hoop rotates (3/2)*pi radians in 1 second, then we multiply by 60 seconds to get the angular distance it rotates in 1 minute:
(3/2)*pi*60 = 90*pi radians in 1 minute.
Then since 1 revolution has 2*pi radians, we divide 90*pi/2*pi = 45 (with no remainder). Therefore, the hoop makes 45 revolutions per minute.