Figure \( 10-56 \) gives \( \omega(\mathrm{rad} / \mathrm{s}) \) angular speed versus time for a...

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Figure \( 10-56 \) gives \( \omega(\mathrm{rad} / \mathrm{s}) \) angular speed versus time for a thin rod that rotates around one end. The scale on the \( \omega \) axis is set by \( \omega_{s} \) = \( 60 \mathrm{rad} / \mathrm{s} \). (a) What is rod's angular acceleration? (b) At \( t=4.0 \mathrm{~s} \), the rod has a rotational kinetic energy Figure 10-56 of \( 1.60 \mathrm{~J} \). What is its kinetic energy at \( t=0 \) ?
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