* 16-12. A motor gives gear A an angular acceleration of

Chapter 17, Problem 16-12

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A motor gives gear A an angular acceleration of \(\alpha_{\mathrm{A}}=\left(0.25\theta^3+0.5\right)\mathrm{\ rad}/\mathrm{s}^2\), where \(\theta\) is in radians. If this gear is initially turning at \(\left(\omega_A\right)_0=20\mathrm{\ rad}/\mathrm{s}\), determine the angular velocity of gear B after A undergoes an angular displacement of 10 rev.

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