A wheel has a thin 2.9 kg rim and four spokes each of mass 1.1 kg. Find the kine
ID: 1350917 • Letter: A
Question
A wheel has a thin 2.9 kg rim and four spokes each of mass 1.1 kg. Find the kinetic energy of the wheel when it rolls at 6.0 m/s on a horizontal surface.Kinetic energy= ? J A wheel has a thin 2.9 kg rim and four spokes each of mass 1.1 kg. Find the kinetic energy of the wheel when it rolls at 6.0 m/s on a horizontal surface.
Kinetic energy= ? J A wheel has a thin 2.9 kg rim and four spokes each of mass 1.1 kg. Find the kinetic energy of the wheel when it rolls at 6.0 m/s on a horizontal surface.
Kinetic energy= ? J
Explanation / Answer
Moment of inertia of whell, I = I_whell + 4*I_spoke
= M*R^2 + 4*m*R^2/3
= 2.9*R^2 + 4*1.1*R^2/3
= 4.367*R^2
Kinetic energy = 0.5*M_total*v^2 + 0.5*I*w^2
= 0.5*(2.9 + 4*1.1)*6^2 + 0.5*4.367*R^2*(6^2/R)^2
= 201 J
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