In experiments at the Princeton Plasma Physics Laboratory, a plasma of hydrogen atoms is h...

In experiments at the Princeton Plasma Physics Laboratory, a plasma of hydrogen atoms is heated to over 500 million degrees Celsius (about 25 times hotter than the center of the Sun) and confined for tens of milliseconds by powerful magnetic fields (100,000 times greater than the Earth's magnetic field). For each experimental run, a huge amount of energy is required over a fraction of a second, which translates into a power requirement that would cause a blackout if electricity from the normal grid were to be used to power the experiment. Instead, kinetic energy is stored in a colossal flywheel, which is a spinning solid cylinder with a radius of 3.00 m and mass of 1.18·10⁶ kg. Electrical energy from the power grid starts the flywheel spinning, and it takes 10.0 min to reach an angular speed of 1.95 rad/s. Once the flywheel reaches this angular speed, all of its energy can be drawn off very quickly to power an experimental run. What is the mechanical energy stored in the flywheel when it spins at 1.95 rad/s? What is the average torque required to accelerate the flywheel from rest to 1.95 rad/s in 10.0 min?