A cylindrical transmission shaft of length $1.5 \mathrm{~m}$ and diameter $100 \mathrm{~mm}$ is made of a linear elastic material with a shear modulus of $80 \mathrm{GPa}$. While operating at $500 \mathrm{rpm}$, the angle of twist across its length is found to be $0.5$ degrees.
The power transmitted by the shaft at this speed is ____________ $\mathrm{kW}$. (Rounded off to two decimal places)
Take $\pi=3.14$
