Spare a farthing?

A small coin is inside a bowl. The bowl is a surface of revolution of the curve y=100x4 m3y=100x^4~\mbox{m}^{-3}. This coin slides around the inside of the bowl at a constant height of y=0.01 my=0.01~\mbox{m} above the bottom of the bowl. What is its angular velocity in rad/s?

Details and assumptions

  • The acceleration of gravity is 9.8 m/s2-9.8~\mbox{m/s}^2.
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