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Q.

You may have seen in a circus a motorcyclist driving in vertical loops inside a ‘death well’ (a hollow spherical chamber with holes, so the spectators can watch from outside). What is the minimum speed (in m/s) required at the uppermost position to perform a vertical loop if the radius of the chamber is 20m? 

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answer is 14.

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Detailed Solution

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If N is the normal reaction from ceiling then, N+mg=mv2r or N=mv2rmg
The complete loop, No or mv2rmg0
vgr,vmin=gr=9.8×20=14m/s

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