(Solved): (10\%) Problem 5: A disk with an initial angular velocity \( \omega_{0}=5.5 \ ...

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(10\%) Problem 5: A disk with an initial angular velocity \( \omega_{0}=5.5 \mathrm{rad} / \mathrm{s} \) experiences a constant angular acceleration of \( \alpha=1.5 \mathrm{rad} / \mathrm{s}^{2} \) for a time period \( t=75 \) s. Please answer the following questions. Randomized Variables \[ \begin{array}{l} \omega_{0}=5.5 \mathrm{rad} / \mathrm{s} \\ \alpha=1.5 \mathrm{rad} / \mathrm{s}^{2} \\ t=75 \mathrm{~s} \end{array} \] - \( \Delta 0 \% \) Part (a) Write an expression for the magnitude of the angular velocity of the disk at time \( t \) in terms of the given parameters. \[ \omega= \] \begin{tabular}{lr} \hline \multicolumn{2}{l}{ Grade Summary } \\ \hline Deductions & \( 0 \% \) \\ Potential & \( \mathbf{1 0 0 \%} \) \\ \hline \end{tabular} Submissions Attempts remaining: \( \underline{3} \) (4\% per attempt) detailed view \begin{tabular}{llll} \hline Hints: deduction per hint. Hints remaining: \( \underline{2} \) & Feedback: deduction per feedback. \end{tabular} (4 20\% Part (b) Calculate the magnitude of the angular velocity of the disk in rad/s at time \( t \). \( \triangle 20 \% \) Part (c) Write an expression for the magnitude of the angular displacement \( \theta \) traveled by a point on the disk during the angular acceleration described in terms of the given parameters. Assume the point starts at an angular displacement of 0 radians. @ 20\% Part (d) Calculate the magnitude of the angular displacement in radians traveled by a point on the disk during the acceleration described. @ \( 20 \% \) Part (e) Which of the following scenarios would result in the largest angular displacement traveled by a point on the disk, assuming all other properties stayed the same?