SOLUTION: how fast does a ferris wheel have to be going before the top stops being the apex from which a dropped object will hit the ground the fastest? (if ferris wheel radius is needed to

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Question 932058: how fast does a ferris wheel have to be going before the top stops being the apex from which a dropped object will hit the ground the fastest? (if ferris wheel radius is needed to solve this problem lets say the radius of this ferris wheel is 5M)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The time it takes for an object to hit the ground under gravity's influence is,
2R=%281%2F2%29gt%5E2
%284R%29%2Fg=t%5E2
t=%284R%29%2Fg
The time it takes for the ferris wheel to make (1/2) a revolution is equal to
One revolution is 2pi radians.
Half a revolution is pi radians.
If the ferris wheel travels at Wrad%2Fs.
Then,
t=W%2Fpi
So then set these equal to each other.
W%2Fpi=%284R%29%2Fg
W=%284%2Api%2AR%29%2Fg
Using your radius,
W=%284%2Api%2A5%29%2F9.8=6.4rad%2Fs
which convert to about 61 RPM or about 1 revolution per second.
That's pretty fast for a 5M wheel to rotate.
Amusement park rides like the Rotor spin at about 20-30 rpm for reference.
Ferris wheels are on the order of 1-2 rpm.