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**Dynamics -- 2 shafts rotating & connected with a clutch**

During the operation of a machine, two shafts rotate in opposite directions and are then connected by a clutch system. Shaft 1 has a rotational speed of 800 rev/min, a mass of 35 kg and a radius of gyration of 375 mm. Shaft 2 has a rotational speed of 1100 rev/min, a mass of 45 kg and a radius of gyration of 520 mm. Determine:

i) the moment of inertia for each shaft;

ii) the final speed and direction of rotation for the connected shafts;

iii) the angular torque developed by the connected shafts if the rotational speed increases to 900 rev/min in a time of 3.2 s.

iv) the kinetic energy of the connected shafts at the increased speed.

Question: (my last question before submitting my work I promise)

I managed to work out (i) and (ii) no problem for part (iii) do I use T=Ia and then Impang= Tt? and for (iv) do I use Ekang=1/2 Iω

^{2}with the revs set at 900 rev/min?

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