(Solved): Gear \( A \) is in mesh with gear \( B \) as shown. (Figure 1) If \( A \) sta ...

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Gear \( A \) is in mesh with gear \( B \) as shown. (Figure 1) If \( A \) starts from rest and has a constant angular acceleration of \( \alpha_{A}=8 \mathrm{rad} / \mathrm{s}^{2} \) determine the time needed for \( B \) to attain an angular velocity of \( \omega_{B}=59 \mathrm{rad} / \mathrm{s} \). Express your answer to three significant figures and include the appropriate units.