An amusement park ride features a vertical cylinder 8 m in radius with a horizontal floor. Riders stand on the floor with their backs against the inner surface of the cylinder. The cylinder spins, completing one revolution every 4s. Once spinning, the axis of the cylinder rotates so it tilts up to 45 degrees. Even as the cylinder tilts

sideways, the riders don't fall off

1. What direction is the force exerted by the cylinder on the riders?

2. What is the angular velocity of the riders?

3. What is the linear velocity of the riders?

4. What centripetal acceleration do the riders experience?