1. When going around a sharp turn in your car, you feel like you are being forced out of the circle, but we learned in this chapter that you are actually experiencing a force directed toward the center of the turn. What is causing this discrepancy? (Note: this is a pseudo ("fake") force called the centrifugal force!)
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- 3. You stand on a merry-go-round which is spinning at f = 0.25 revolutions per second. You are R= 200 cm from the center. Figure-3 (a) Find the angular speed w at which it is spinning. (b) Find the centripetal acceleration, a, with which it is spinning. (c) What is the minimum coefficient of static friction 4, between your shoes and the floor that will keep you from slipping off?Please don't provide handwritten solution...Part 1: 1. What is providing the centripetal force in Part 1? 2. How should the slope relate to the values of the mass of the rotating object, m and the radius of the circular path, r? I
- 4. A mass m rotates at constant speed v at a radius of R from the rotational axis. A force F provides the centripetal force Fc. If you double the radius R of the motion, without changing m or v, the force needed to keep the mass in circular motion would (a) stay the same. (b) double. (c) halve. (d) quadruple.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?d) At what rate does the cylinder spiñn 2 (8.51). In the amusement park ride shown here, the passengers are against the wall of a cylinder that rotates vertically. The diameter of the cylinder is 16 m. The cylinder rotates once every 4.5 sec. a) Draw a force diagram for a 55-kg passenger at the top of the ride. Show the weight and normal force vectors. b) What is the normal force? How many "g's" will the passenger feel? c) Draw a force diagram for a 55-kg passenger at the bottom of the ride. Show the weight and normal force vectors. ) What is the normal force? How many “g's" will the passenger feel? ation e the ride above is going at the minimum speed for passengers not to fall off. peed, what would the normal force be on a passenger at the top? What would th