Questions
A wheel of mass 5 kg and radius 0.40 m is rolling on a road without sliding with angular velocity of 10 . The moment of inertia of the wheel about the axis of rotation is 0.65 kg . The percentage of kinetic energy of rotation in the total kinetic energy of the wheel is
detailed solution
Correct option is D
Here, m = 5 kg, I = 0.65 kg m2 ω = 10 rad s-1, R = 0.40 mLinear velocity v = Rω = 0.40× 10 = 4 ms-1Translatiional KE = 12mv2 = 12×5×16 = 40 JRotational KE = 12Iω2 = 12×0.65×100 = 32.5 JTotal KE = Translational KE + Rotational KE = 40+32.5 = 72.5 JPercentage of rotational KE = Rotational KETotal KE ×100 = 32.572.5×100 = 44.8%Talk to our academic expert!
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