The Levai type-$\text{A}$ train illustrated in the figure has gears with module $m=8 \mathrm{~mm} /$ tooth. Gears $2$ and $3$ have $19$ and $24$ teeth respectively. Gear $2$ is fixed and internal gear $4$ rotates at $20 \mathrm{rev} / \mathrm{min}$ counter-clockwise. The magnitude of angular velocity of the arm is __________ $\text{rev/min}$. (rounded off to $2$ decimal places)