A heat engine that operates on a Carnot cycle between \(150{ }^{\circ} \mathrm{C}\) and \(10^{\circ} \mathrm{C}\) is used to accelerate a flywheel from rest to a rotational speed of \(8.50 \mathrm{~s}^{-1}\). The \(1500-\mathrm{kg}\) flywheel is a solid uniform cylinder that rotates about its long central axis without appreciable friction. Its diameter is \(1.00 \mathrm{~m}\), and it is \(750 \mathrm{~mm}\) long. How much thermal energy must be transferred into this engine to accelerate the flywheel to the desired rotational speed, and how much of this thermal energy is wasted in the process?