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Can a human-powered bike go 100 mph?

Discovery News has details on a bike that could break 100 mph. The current human-powered bike speed record is at 82 mph and held by Sam Whittingham. This record will be challenged by Graeme Obree, who has broken speed records before.

But enough about the news, how about some physics?

Let me assume that for this bike the primary problem is the air resistance. At a constant speed, the bike would have the following forces on it.

bikeforces_13.jpeg 

via Wired

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