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- Physics (PH)
A flywheel of mass 5kg and radius of gyration 0.5 rotates about its axis.find the kinetic energy of rotation of wheel if it makes 300 revolution per minute
a flywheel of mass 5kg and radius of gyration 0.5 rotates about its axis.find the kinetic energy of rotation of wheel if it makes 300 revolution per minute
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Somnath Best Answer
The mass of flywheel [m] = 5 kg. Radius of gyration [R] = 0.5m The frequency of flywheel [f] = 300 rev/min. We have 1 min = 60 seconds. Hence, 300 rev/min = 300/60 rev/sec f= 5 rev/s. The angular velocity w=2(pi)f =10(pi) Moment of inertia I=mR^2 =5×0.5×0.5 =1.25 kgm^2 kinetic energy of rotation=1/2Iw^2 =(1.25×100(pi)^2)/2 =616.225 Joule.
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