mgh=(1/2)mv2+(1/2)Iω2
1) show that ??v2= 2gh/1+I* WHERE ? I* =I/mR2, and thus I* is (and hence the smaller the wheel's moment of inertia) the faster the wheel will roll down the hill. R is radius. take g = 32ft/s2 and assume that the vertical height of the incline is h=100ft
2) show that ,whatever the wheel's design, the maximum velocity a circular wheel can attain on this incline is 80ft/s
3) which wheel will make the car go fastest downhill race car?
4) what is your conclusion?