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{latex}

$$v=-2.22\ \mathrm{rad/s}\ \mathbf{\hat{k}} \times -44.2\ \mathrm{m}\ \mathbf{\hat{i}}$$
 
$$v=98.1\ \mathrm{m/s}\ \mathbf{\hat{j}}$$

{latex}

We can also estimate the power coefficient which is the fraction of harnessed power to total power in the wind for the given turbine swept area. According to the M.Eng report presented in the problem statement, this blade is meant to ressemble GE 1.5 XLE wind turbine blade. A document from GE specifies the rated power of this turbine to be 1.5 MW, the rated wind speed to be 11.5 m/s and the rotor diameter to be 82.5 m. 

Thus, at rated wind speed

{latex}
\begin{eqnarray*}
C_p = \frac{P_{rated}}{P_{wind}}
    = \frac{P_{rated}}{0.5\rho A V_{rated}^3}
    = \frac{P_{rated}}{0.5(1.225\frac{kg}{m^3})(\frac{\pi(82.5m)^2}{4})(11.5\frac{m}{s})^3}
    = 0.30
\end{eqnarray*}

{latex}

The resulting power coefficient of 0.30 is very reasonable. We will compare it to power coefficient obtained from the simulation in the verification and validation section. 

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Start-Up

Please follow along to start this project! It is recommended to have these videos run side by side with your ANSYS project, with the video taking 1/3 of the screen space and the ANSYS window taking 2/3 of the screen space. An even better method is to use two monitors. This would allow running both the tutorial videos and ANSYS in full-screen. For example, the tutorial would be opened up on your laptop and ANSYS would be running on a lab computer. If you use the Cornell lab computers then make sure to bring some earbuds!

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