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the speed of flywheel is 300 rpm just before a punching operation,then the speed of the flywheel immediately after the punching operation is 299.93 rpm.
The answer of the above question is as follows:
mass of the flywheel of the punching machine (m) is 300 kg .
radius of gyration of the flywheel is :
[tex]k = 600 mm \times \frac{1m}{100mm} = 6m[/tex]
work to be done against each punching by the wheel (W) is 2500J.
initial angular velocity of the flywheel is:
[tex]w = 300rpm \times \frac{ \frac{\pi}{30} \frac{rad}{s} }{1rpm} = 10 \frac{\pi \: rad}{s} [/tex]
therefore the angular speed of the flywheel immediately after punching is given by
w1 =299.93 rpm
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Disclaimer : the given question is incomplete, thus the complete question is as follows:
Question: The flywheel of a punching machine has a mass of 300 kg mass and a radius of gyration of 600 mm. each punching operation requires 2500 J of work.
(a) knowing that the speed of the flywheel is 300 rpm just before a punching,determine the speed immediately after the punching.