An infinitely long cylindrical bucket with radius [itex]a[/itex] is full of water and rotates with constant angular velocity [itex]\Omega[/itex] about its horizontal axis. The gravity is in the vertical direction. The velocity of the flow in cylindrical coordinates (whose [itex]z[/itex] axis is the horizontal axis of the bucket) is given by [itex]\vec u = \left\langle {{u_r}(r,t),{u_\theta }(r,t),0} \right\rangle[/itex].(adsbygoogle = window.adsbygoogle || []).push({});

Show that [itex]{{u_r}(r,t)} = 0[/itex].

I actually have no idea how to start. Any help will be appreciated.

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# Homework Help: Velocity of flow in cylindrical coordinates

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