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A riveting machine is driven by a motor of 3 KW. It takes 1 sec and 12 KN-m of energy to complete one riveting operation. The moment of Inertia of fly wheel is 55 (kg m2). The speed of the fly wheel immediately after riveting, if it is 360 rpm before riveting is ––––––– rpm.
(Important - Enter only the numerical value in the answer)
    Correct answer is '316'. Can you explain this answer?
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    A riveting machine is driven by a motor of 3 KW. It takes 1 sec and 12...
    First, we need to calculate the angular acceleration of the flywheel during the riveting operation:

    Power = Work/Time
    3 KW = 12 KN-m / 1 sec

    Angular acceleration = (Work/Energy) / Moment of Inertia
    = (12 KN-m / 3 KW) / 55 (kg m^2)
    = 0.0727 rad/s^2

    Next, we can use the equation for rotational kinetic energy to find the final speed of the flywheel:

    Rotational kinetic energy = 1/2 * Moment of Inertia * (Final angular speed)^2

    We know the initial angular speed is 360 rpm, or 37.7 rad/s. Solving for the final angular speed:

    Final angular speed = sqrt(2 * Rotational kinetic energy / Moment of Inertia)
    = sqrt(2 * 0.5 * 55 * (37.7^2 + 2 * 0.0727)) / 55
    = 43.6 rad/s

    Converting to rpm:

    Final speed = 43.6 * 60 / (2 * pi)
    = 413 rpm

    Therefore, the speed of the flywheel immediately after riveting is 413 rpm.
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    A riveting machine is driven by a motor of 3 KW. It takes 1 sec and 12 KN-m of energy to complete one riveting operation. The moment of Inertia of fly wheel is 55 (kg m2). The speed of the fly wheel immediately after riveting, if it is 360 rpm before riveting is ––––––– rpm.(Important - Enter only the numerical value in the answer)Correct answer is '316'. Can you explain this answer?
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