Question
What is the angular speed of a rotating wheel that has a moment of inertia of $0.330 \mathrm{~kg} \cdot \mathrm{m} 2^{0.330 \mathrm{~kg} \cdot \mathrm{m}^{2}}$ and a rotational kinetic energy of $2.75 \mathrm{~J}$ ? Give your answer in both rad/s and rev/min. SSM Example 8-2
Step 1
Step 1: The rotational kinetic energy of a rotating object is given by the formula: \[ KE = \frac{1}{2}I\omega^2 \] where \( KE \) is the rotational kinetic energy, \( I \) is the moment of inertia, and \( \omega \) is the angular speed. Show more…
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11. Calculate the angular speed of a rotating wheel that has a rotational inertia of 0.330 kg · m² and a rotational kinetic energy of 2.75 J. Give your answer in both rad/s and rev/min.
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