Answer:
The wheel have made [tex]2.10 * 10^{6} m[/tex] revolutions.
Step-by-step explanation:
The total distance traveled during the race is
D = 4510km [(1000m)/(1km)] = [tex]4510 * 10^{3} m[/tex]
The radius (r1) of the smaller bicycle wheel is
r1 = [tex]\frac{D}{2*pi*N1} = \frac{4510 * 10^{3} m }{2*pi*(2.18*10^{6}) } =0.329 m[/tex]
Than the larger wheel has a radius
r2 = 0.329 m + 0.012 m = 0.341 m
Over the same distance this wheel would make N2 revolutions
N2 = [tex]\frac{D}{2*pi*r2} = \frac{4510 * 10^{3} m }{2*pi*(0.341) } = 2.10 * 10^{6} m[/tex]
