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Question

Derive an expression for the torque $T$ needed to rotate a disk of diameter $d$ at the angular velocity $\omega$ in a fluid with density $\rho$ and viscosity $\mu$ if the disk is a distance $t$ from a wall. Also, find an expression for the power requirement.

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In this exercise, we are asked to derive an expression for the torque $T$ in order to rotate the disk. We are also tasked to determine an equation for the power requirement $\dot W$. The given variable parameters are listed below:

- $T$ - torque
- $d$ - diameter
- $\omega$ - angular velocity
- $\rho$ - fluid density
- $\mu$ - fluid viscosity
- $t$ - distance from the wall

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