Flywheels are large, massive wheels used to store energy. They can be spun up slowly, then the wheel's energy can be released quickly to accomplish a task that demands high power. An industrial flywheel has a \(1.5 \mathrm{~m}\) diameter and a mass of \(250 \mathrm{~kg}\). A motor spins up the flywheel with a constant torque of \(50 \mathrm{~N} \cdot \mathrm{m}\). How long does it take the flywheel to reach top angular speed of \(1200 \mathrm{rpm}\) ?