1. A 75 kg child riding a Ferriswheel (radius = 9.0 m) travels in a vertical cir

Question

1.      A 75 kg child riding a Ferriswheel (radius = 9.0 m) travels in a vertical circle. The

     wheel completes one revolutionevery 12 s.

a.       A.What is the apparent weight of the child at the highest point onthe circular path?

b.     B. What is the apparent weight of the child at the lowest point onthe circular path?

c.       C.What is the apparentweight of the child at a point midway between the highest andlowest points on the circular path?

d.     D. If the rotational speed ofthe Ferris wheel is increased, what would be the time of

      onerevolution (period) when a rider experiences weightlessness at thehighest

     point?

Explanation / Answer

Speed of wheel = 2r / t = 2 *9/ 12   =    4.7124 m/s . (a) apparent weight at highest point = mg -centrip force = mg - mv2 / r  = .           =   75 * 9.8   -   75 *4.71242 / 9   =    735    -     185.06  = .       =    550 Newtons . (b) app weight at lowest point = mg +centrip force = 735 + 185 =   920 N . (c) app weight at middle = mg  =    735 N . (d) for weightlessness,   mg - centripforce = 0 .                 mg - mv2 / r = 0 .         gr =v2        v = gr = 9.8*9 =   9.3915 m/s .          v = distance /time            9.3915 = 2r /t        9.3915 = 2 * 9 /t .      t = 6.02seconds    is the time for one rev

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