The turbine and associated rotating parts of a jet engine have a total moment of inertia of 30 kg m2. The turbine is accelerated uniformly from rest to an angular speed of 160 rad/s in a time of 27 s.
1) Find angular acceleration.
2) Find the net torque required.
3) Find the angle turned through in 27 seconds.
4) Find the work done by the net torque.
5) Find the kinetic energy of the turbine at the end of the 27 seconds.