a carnival ride is designed with seats that carry two people weighing 910.0 N each. the seats itself weights 630 N.each seat is connected to central spindle by one chain and rotates on a radios of 6.07 meters. the ride is designed to rotate fast enough that the seats swing out horizontally at first and then the central spindle rotates so that the seats spin vertically. calculate the minimum velocity required to just keep the seats with the two people in them form falling out of rotation when they are spinning vertically?

please show work

1 answer

the centripetal force at the top of the circle equals gravity

v^2 / r = g

v = √(g r)