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## Homework Statement

In an amusement park ride, passengers stand inside an 8m radius cylinder. Initially, the cylinder rotates with its axis oriented along the vertical. After the cylinder has acquired sufficient speed, it tilts into a vertical plane, that is, the axis tilts into the horizontal. Suppose that, once the axis has tilted into the horizontal, the ring rotates once every 4.5 seconds. If a rider's mass is 40kg, with how much force does the ring push on her at the top of the ride?

## Homework Equations

F = ma, W = mg, Centripetal Force = mvv/r

## The Attempt at a Solution

Since it's asking for the force that the wall of the ride is pushing on the person, shouldn't it just be mvv/r? So the answer is about 620N? Yet the correct answer is mvv/r - mg, which is 230N.

Why is that? Why does gravity matter if the question is asking "how much force does the ring push on her at the top of the ride?