A Thin **circular** disk of radius \(R\), rotates in a cylindrical chamber, which is filled with water (coefficient of viscosity \(\eta\)). It is rotated with **constant** angular velocity \(\omega\).

Find the**Power** developed (in **watts**)by the viscous forces, if the distance between the top-bottom walls and the disk is \(h\).

Find the

**Details and Assumptions:**

\(\bullet\) Neglect end effects.

\(\bullet\) \(\eta = 8.9\times 10^{-4}\)

\(\bullet\) \(R = 2m\)

\(\bullet\) \(h = 1mm\)

\(\bullet\) \(w = 2 rad/s\)

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