hen the mass of the object is the same, does the centripetal force vary when the radius of rotation is increased or decreased? Why or why not?
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- At amusement parks, there is a popular ride where the floor of a rotating cylindrical room falls away, leaving the backs of the riders "plastered" against the wall. Suppose the radius of the room is 3.75 m and the speed of the wall is 10.4 m/s when the floor falls away. The source of the centripetal force on the riders is the normal force provided by the wall. (a) How much centripetal force acts on a 62.2 kg rider? (b) What is the minimum coefficient of static friction that must exist between the rider's back and the wall, if the rider is to remain in place when the floor drops away?At amusement parks, there is a popular ride where the floor of a rotating cylindrical room falls away, leaving the backs of the riders "plastered" against the wall. Suppose the radius of the room is 3.37 m and the speed of the wall is 19.0 m/s when the floor falls away. The source of the centripetal force on the riders is the normal force provided by the wall. (a) How much centripetal force acts on a 52.9 kg rider? (b) What is the minimum coefficient of static friction that must exist between the rider's back and the wall, if the rider is to remain in place when the floor drops away?A 50KG ball tied to a string moves in a circle that has a radius of 2m. If the ball is accelerating at 200m/s^2 , What is the tangential velocity of the ball?
- Calculate at what speed the earth would have to rotate in order that objects at the equator would have no weight. Assume the radius of the earth to be 6400 kilometers. What would be the linear speed of a point on the equator? [Hint: When this happens, the object’s weight equals the centripetal force: mg=mv2/r].A large centrifuge, like the one shown in Figure 6.37(a), is used to expose aspiring astronauts to accelerations similar to those experienced in rocket launches and atmospheric reentries. (a) At what angular velocity is the centripetal acceleration if the rider is 15.0 m from the center of rotation? (b) The rider’s cage hangs on a pivot at the end of the arm, allowing it to swing outward during rotation as shown in Figure 6.37(b). At what angle below the horizontal will the cage hang when the centripetal acceleration is ? (Hint: The arm supplies centripetal force and supports the weight of the cage. Draw a free body diagram of the forces to see what the angle should be.)