x Hasta el Amanecer N... x G transformar de dias a s... x C calculus Early Trans

Question

x Hasta el Amanecer N... x G transformar de dias a s... x C calculus Early Transce... x W Hw2 x C hysics question Che. x x G Google https:// b/Student/Assig Buscar with radius 14.0 m is turning about a horizontal axis through its center. The linear speed of a passenge s whee on the ri m is constant and equal to 7.80 m/s A Fe hat are the magnitude and direction of the passenger's acceleration as she passes through the lowest poi in her circular motion? m/s O upward toward the center O downward away from the center O tangent to the circular path hat are the magnitude and direction of the passenger's acceleration as she passes through the highest point in her circular motion? m/s O upward away from the center O downward toward the center O tangent to the circular path (c) How much time does it take the Ferris wheel to make one revolution? 3:30 ESP 23/06/2016

Explanation / Answer

given

Ferris wheel radius r = 14.0 m,speed of the passenger on the rim is v = 7.80 m/s

now t
centripetal force acts on the passenger as long as she is in the motion

so centripetal acceleration is a_C = v^2/r = 7.80^2/14 = 4.346 m/s2

at top of the wheel the acceleration is

writing forces

b) highest point

   F_n-mg = m(-a_c)
   F_n = m(g-a_c)
   ma = m(g-a_c)
   a = (g-a_c)
   a = (9.8-4.346)
   a= 5.454 m/s2

the acceleration direction is downward

b) at the lowest point

       F_n-mg = m(a_c)
       F_n = m(g+a_c)
       ma = m(g-a_c)
       a = (g + a_c)
       a = (9.8+4.346)
       a= 14.146 m/s2

the acceleration is upward

c) time taken to complete one rotation is t = 2pi*r/v = 2*3.14*14/7.8= 11.27 s

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