In first gear, a motorcycle engine produces 902 Nm of torque on the rear wheel. If the rear wheel is lifted off the road and free to spin without friction, how long will it take the engine to spin the wheel from rest to 200 revolutions per minute (corresponding to the outer part of the wheel moving at approximately 24 km/h) if the wheel were on the road? Treat the rear wheel as a hollow cylinder with inner diameter 50 cm and outer diameter 64 cm, with a mass of 13 kg.