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Centripetal Force Problems


Zii

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I need help with these 2 centripetal force problems. Help me please :)

 

1) An airplane is flying in a horizontal circle at a speed of 128 m/s. The 74.0 kg pilot does not want his centripetal acceleration to exceed 7.00 times free-fall acceleration.\

(a) What is the minimum radius of the circular path?

(b) At this radius, what is the net force that maintains circular motion exerted on the pilot by the seat belts, the friction between him and the seat, and so forth?

2) In a popular amusement-park ride, a cylinder of radius 3.00 m is set in rotation at an angular speed of 5.00 rad/s, as shown in Figure 7-20. The floor then drops away, leaving the riders suspended against the wall in a vertical position. What minimum coefficient of friction between a rider's clothing and the wall of the cylinder is needed to keep the rider from slipping? (Hint: Recall that Fs = µsFn, where the normal force is the force that maintains circular motion.)

Thanks in advance! :)

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