Need Help Calculating Wheel Radius for Kinetic Energy

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SUMMARY

The discussion focuses on calculating the radius of a wheel to determine its kinetic energy. The wheel consists of a thin rim weighing 2.8 kg and four spokes, each weighing 1.4 kg. The moment of inertia (I) is calculated using the formula I = 4(1/3 MR^2) + MR^2, and the kinetic energy (K) is derived from K = 1/2Mv^2 + 1/2Iw^2. The user seeks assistance in expressing the radius (R) as a variable in these equations.

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Hi, I'm having difficulty figuring out the radius for this problem, I need the radius in order to figure out the kinetic energy:

A wheel has a thin 2.8 kg rim and four spokes each of mass 1.4 kg. Find the kinetic energy of the wheel when it rolls at 6 m/s on a horizontal surface.

I know that the I = 4(1/3 MR^2) + MR^2 and K = 1/2Mv^2 + 1/2Iw^2.

Anybody know how to figure out the radius, THANK YOU?
 
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Please try working out the answer, leaving R as a variable. What do you get?

Hope this helps...
 

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