3. The London Eye Ferris wheel in London, England (duh), has a diameter of 120 m. While the ride is usually very slow and leisurely, Nigel (the operator) has decided to crank it up a bit so that it makes one revolution every 90.0 . (a) Find the linear velocity of the passengers when the Ferris wheel is rotating at this rate. (b) A passenger weighs 945 N at the weight-guessing booth on the ground. What is his apparent weight at the highest and lowest point on the Ferris wheel? (c) What would be the time for one revolution if the passenger's apparent weight at the highest point were zero?  (d) What then would be the passenger's apparent weight at the lowest point?

A skater is trying to perform a Triple revolution jump. His vertical take off speed is 2.8 m/s. How fast does he need to rotate to complete the triple revolution in the air? (in rotation per second) Assuming g=9.8 m/s² Your Answer: Answer

A rotating space station is said to create artificial gravity—a loosely-defined term used for an acceleration that would be crudely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. An example of such a setup are Space Station V and the Discovery from the movie 2001: A Space Odyssey as shown below. If the space station is 1800 m in diameter, what angular velocity (in radians per second) would produce an artificial gravity similar to that on Earth inside the outer wall of the station?

A car is trying to make a turn on a banked curve on a very icy day and the frictional force between the tires and road is zero. The curve has a radius of 50 m and the car is moving at 12 m/s. What angle should the curve be banked at for this to happen safely?

A road with a radius of 75.0 m is banked so that a car can navigate the curve at a speed of 16.8 m/s without any friction. When a car is going 36.8 m/s on this curve, what minimum coefficient of static friction is needed if the car is to navigate the curve without slipping?

NASA uses a machine often called the "vomit comet" to mimic the effects of low gravity in space during astronaut training. The machine moves in circular arcs at a speed of v = 214 m/s. What is the radius the pilot must fly to create weightlessness as they go around the top of the circular arc? Give your answer in meters.