The braking system shown in the figure uses a belt to slow down a pulley rotating in the clockwise direction by the application of a force $\mathbf{P}$. The belt wraps around the pulley over an angle $\alpha=270$ degrees. The coefficient of friction between the belt and the pulley is $0.3.$ The influence of centrifugal forces on the belt is negligible.
During braking, the ratio of the tensions $T_1$ to $T_2$ in the belt is equal to_____________. (Rounded off to two decimal places)
Take $\pi=3.14$