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Grade 11Mechanics

A wheel of mass100kg and radius of gyration is 2m has a constant acceleration of 3rad/ sec² during a certain 4sec interval it turns through an angle of 120°rad.Assuming that wheel started from rest.How long was it in motion at the start of this 4sec interval.Find torque on wheel,kinetic energy during 4sec interval.

Profile image of Avinash Kumar singh
9 Years agoGrade 11
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1 Answer

Profile image of Vikas TU
9 Years ago
From
2pi/3 = 0 + 0.5*3*t^2
we get,
t = 2root(pi)/3 seconds.
 
Torque during 4 seconds interval we get,
T = I*a = > 2*100*3 =.> 600 Kgm^2rad/s^2.
 
K.E = 0.5*I*w^2 = > 0.5*(pi/6)^2*200 = > 27.38 KJ