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Homework Help: 2 shafts

  1. Nov 19, 2013 #1
    1. The problem statement, all variables and given/known data

    b) 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.

    2. Relevant equations

    w3= 2pieN/60

    3. The attempt at a solution

    i. calculate I(1)=m1k1squared answers were 4.62 kgm2 & 12.17 kgm2
    ii anti clockwise 57.9 rad/s with N3 working out 552.9 rev/min

    iii not sure what changes speed here is it full speed combined or just shaft 1 ? Think I know how to do the rest when this is solved
  2. jcsd
  3. Nov 19, 2013 #2


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    Science Advisor
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    Gold Member

    It says 'connected', so I would take it as the two shafts combined.
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