Exact technical specification of the Ricardo Kinergy kinetic energy wheel are not disclosed, but gathering statistics from various sources the wheel is roughly 10cm in radius and has a mass of 30kg. Presume the majority of the mass is the "carbon fibre flywheel operating within a hermetically sealed vacuum chamber at speeds of up to 60,000 rev/min." and therefore ignore the inner rim in computing the rotational inertia. On activation, the flywheel is driven by a time-varying moment given by the relationship shown. Determine the time required for the flywheel to reach normal operating speed of 1000rad/s.