A steel spur pinion has a module $(m)$ of $1.25$ mm, $20$ teeth and $20^\circ$ pressure angle. The pinion rotates at $1200$ rpm and transmits power to a $60$ teeth gear. The face width $(F)$ is $50$ mm, Lewis form factor $Y=0.322$ and a dynamic factor $K_v=1.26$. The bending stress $(\sigma)$ induced in a tooth can be calculated by using the Lewis formula given below.
If the maximum bending stress experienced by the pinion is $400$ MPa, the power transmitted is _____ kW (round off to one decimal place).
Lewis formula: $\sigma = \dfrac{K_vW^t}{FmY}$, where $W^t$ is the tangential load acting on the pinion.