A \(6.0\,\text{cm}\)-diameter gear rotates with angular velocity \( \omega = \left(20-\dfrac{1}{2} t^2 \right) \, \text{rad/s} \), where \(t\) is in seconds. At \(t = 4.0 \, \text{s}\), what are(a) The gear’s angular acceleration? Hint: Use a graph if you haven’t learned calculus yet. , (b) The tangential acceleration of a tooth on the gear? :

\(\boxed{-4 \, \text{rad/s}^2} \) \(\boxed{-0.12 \, \text{m/s}^2}\)

A \(6.0\,\text{cm}\)-diameter gear rotates with angular velocity \( \omega = \left(20-\dfrac{1}{2} t^2 \right) \, \text{rad/s} \), where \(t\) is in seconds. At \(t = 4.0 \, \text{s}\), what are • Nerd Notes

AP Physics 1

5.2 Connecting Linear and Rotational Motion

5.1 Rotational Kinematics

IntermediateFRQMathematical11.8k

A \(6.0\,\text{cm}\)-diameter gear rotates with angular velocity \( \omega = \left(20-\dfrac{1}{2} t^2 \right) \, \text{rad/s} \), where \(t\) is in seconds. At \(t = 4.0 \, \text{s}\), what are

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