The world\'s first Ferris wheel , carried 36 wooden cars, each holding as many a
ID: 1476151 • Letter: T
Question
The world's first Ferris wheel , carried 36 wooden cars, each holding as many as 60 passengers, around a circle of radius R = 38m, the mass of each car was about 1.1 Times 10^4 kg . The mass of the wheel's structure was about 6.0 Times 10^5 kg , which was mostly in the circular grid from which the cars were suspended. The cars were loaded 6 at a time, and once all 36 cars were full, the wheel made a complete rotation at an angular speed omega_f in about 2 minutes. Estimate the magnitude L of the angular momentum of the wheel and the passengers while the wheel rotated at omega_F Assume that the fully loaded wheel is rotated from rest to omega_F in a time period Delta t_1 =5.0 S. what is the magnitude tau_avg of the average net external torque acting on it during Delta t_1?Explanation / Answer
angular momentum = Lf = I*wF
I = M*R^2 + (36*m*R^2)
I = (6*10^5*38^2) + (36*1.1*10^4*38^2) = 1.438*10^9 kg m^2
wf = 2pi/(2*60) = 0.0524 rad/s
a)
L = 1.438*10^9*0.0524 = 75351200 kg m^2/s
b) torque = L/t = 75351200/5 = 15070240 Nm
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