Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_137

2/137 The rotating element in a mixing chamber is given a periodic axial movement \( z = z_0 \sin 2\pi nt \) while it is rotating at the constant angular velocity \( \dot{\theta} = \omega \). Determine the expression for the maximum magnitude of the acceleration of a point \( A \) on the rim of radius \( r \). The frequency \( n \) of vertical oscillation is constant.