Fitzgerald/Buggé: Circular 2 Circular Motion 2 2.1 Estimate Estimate the radial acceleration of a person standing in Singapore (approx. 0° latitude ) and that of a person standing in Anchorage, Alaska (approx. 61.2° N latitude). How do their radial accelerations compare? The radius of the Earth is 6400 km. 2.2 Engineer You are an engineer working for Six Flags. You have been assigned on a team to build a ride that will consist of a spinning drum of radius 2 m. When the ride reaches a period of 1.7 s the floor should be able to be removed without the passengers falling. What characteristics of the ride would ensure the riders will remain stuck to the wall? Justify your answer quantitatively. 2.3 Represent and Reason ​
Fill in the table that follows. Rollercoaster situation; circle the system. Indicate the direction of radial acceleration Draw a force diagram Set up mathematical model using ∑​
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(a) The roller coaster car glides at constant speed along a frictionless, level track. (b) The roller coaster car moves along a frictionless circular dip in the track. (c) The roller coaster car moves inverted past the top of a frictionless loop­the­loop. Fitzgerald/Buggé: Circular 2 2.4 Regular Problem Josh drives his car at a constant 12 m/s speed over a bridge whose shape is bowed in the vertical arc of a circle. Find the direction and the magnitude of the force exerted by the car sear on Josh as he passes the top of the 30 m radius arc. His mass is 60 kg. 2.5 Analyze Using what you know about circular motion explain why you can swing a bucket of water around vertically without water sloshing out. 2.6 Regular Problem A 20.0 g ball is attached to a 120 cm long string and moves in a horizontal circle. The string exerts a force on the ball that is equal to 0.200 N. What is the angle θ? 2.7 Represent and Reason A Texas Motor Speedway is in a 2.4 km long oval track. One of its turns is about 200 m in radius and banked at 24 degrees above the horizontal. How fast would a car have to move so that no friction is needed to prevent it from sliding sideways off the raceway?