If a large pool of water was rotating the same speed as an amusement ride, how far would the surface of the water rise, between the where the chairs are hanging when the ride stopped- which is 15ft from the center support column, and where the chairs are moving when the ride is operating- which is around 20ft from the center column. From prior experience, you estimate it will take 8 seconds to make a full revolution when the ride is operating.
In summary: Given r1: 15ft; r2: 20ft; w=2pi/8 rad/sec
a) Find: change in z (in feet) between the inner (r1) radius and outer (r2) radius.
b) Is change in z dependent upon the specific weight or density of the fluid?