Spare a farthing?

Classical Mechanics Level 3

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 $-9.8~\mbox{m/s}^2$ .