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Question

# A gyroscope slows from an initial rate of 32.0 rad/s at a rate of 0.700 rad/s$^2$ . (a) How long does it take to come to rest? (b) How many revolutions does it make before stopping?

Solution

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$\textbf{Knowns}$

\normalsize We know that the rotational kinematic equations that describe the relationship among the rotational angle $\color{#c34632}\theta$, the final angular velocity $\color{#c34632}\omega$, the initial angular velocity $\color{#c34632}\omega_o$, time $\color{#c34632}t$ and the angular acceleration $\color{#c34632}\alpha$ are given by:

$\begin{gather*} \omega = \omega_o + \alpha t \tag{1}\\\\ \omega^2 = \omega_o^2 + 2\alpha \theta\tag{2} \end{gather*}$

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