Consider a Pelton wheel of $1 \:m$ diameter. The magnitude of relative velocity of water at the bucket inlet is same as the magnitude of relative velocity of water at the bucket exit. The absolute speed of water at the bucket inlet is $125.66 \mathrm{~m} \mathrm{~s}^{-1}$. For maximum power output from the Pelton wheel, the rpm of the Pelton wheel is __________ (rounded off to $1$ decimal place).
