Answer
$\Delta \theta=3.78\ rad$
Work Step by Step
We know that
$\Delta \theta=\frac{\omega^2-\omega_{\circ}^2}{2\alpha}$
We plug in the known values to obtain:
$\Delta \theta=\frac{2.45-3.40}{2(-0.736)}$
$\Delta \theta=3.78\ rad$
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