Riding round and round

Classical Mechanics Level 5

A motorbike starts from rest at time \(t=0\) and begins to accelerate around a circular track as shown in the figure below. Eventually, at time \(t=t_1\) the motorbike reaches the maximum velocity possible without slipping off the track. What's the minimum length in meters the motorbike must travel between \(t=0\) and \(t=t_1\)?

Details and assumptions

  • Assume that the friction coefficient everywhere on the race track is the same.
  • The motorbike wheels never slip on the track as it accelerates.

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