Spare a farthing?

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

Details and assumptions

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