Halliday, Resnick & Walker — Rotation: Problem Problem_20

An object rotates about a fixed axis, and the angular position of a reference line on the object is given by \(\theta = 0.40e^{2t}\), where \(\theta\) is in radians and \(t\) is in seconds. Consider a point on the object that is \(4.0\text{ cm}\) from the axis of rotation. At \(t = 0\), what are the magnitudes of the point’s (a) tangential component of acceleration and (b) radial component of acceleration?