We'll use the equation:

$\overline{){{\mathbf{\omega}}}_{{\mathbf{f}}}{\mathbf{=}}{{\mathbf{\omega}}}_{{\mathbf{0}}}{\mathbf{+}}{\mathbf{\alpha}}{\mathbf{t}}}$

We'll also use the equation:

$\overline{){\mathit{\theta}}{\mathbf{=}}{{\mathbf{\omega}}}_{{\mathbf{0}}}{\mathbf{t}}{\mathbf{+}}\frac{\mathbf{1}}{\mathbf{2}}{{\mathbf{\alpha t}}}^{{\mathbf{2}}}}$

**(a)**

Find t from the first equation as follows:

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?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Equations of Rotational Motion concept. You can view video lessons to learn Equations of Rotational Motion. Or if you need more Equations of Rotational Motion practice, you can also practice Equations of Rotational Motion practice problems.

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Based on our data, we think this problem is relevant for Professor Dubey & Gracia's class at UCF.