A 6.0-cm-diameter gear rotates with angular velocity v = (2.0 + 1 / 2 t 2 )

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A 6.0-cm-diameter gear rotates with angular velocity v = (2.0 + 1 / 2 t2) rad / s, where t is in seconds. At t = 4.0 s, what are:

a. The gear’s angular acceleration?

b. The tangential acceleration of a tooth on the gear?

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