An airplane propeller is $2\mathrm{.}08$ m in length $($from tip to tip$)$ and has a mass of $112$ kg $.$ When the airplane's engine is first started, it applies a constant net torque of $1990$ N$$m to the propeller, which starts from rest. How much work is done by the engine during the first $5\mathrm{.}00$ revolutions? What is the average power output of the engine during the first $5\mathrm{.}00$ revolutions?