Riding round and round
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.