Traffic Volumes in the Park

There will be three shifts a day, so the car park will be emptied and filled three times a day at shift changeover time. That means 1800 car movements a day.
The car park is not near any road.
How will they get to the car park?
By driving through it on the narrow 1 km circuit track. Thats right, the track our children learnt to ride a bike on, that we walk and jog on, that children cross to get to the playground or to chase an errant ball. That track. 1800 car trips on it a day.
The Council says it will be safe because the cars will drive at 10 km/hr (yeah right).
Lets assume they stagger the shifts and shift change over takes two hours. During that time 300 cars will come into the car park and 300 will leave. At 10 km/hr it by my calculation at any one time, there will be 30 cars on the 1 km track.
This means using the track is out of the question (it is only 4 m wide - barely wide enough for a car), and crossing the track to get into the middle of the park where all the play equipment is, will be a life threatening experience.
How is the Council going to deal with this?
A traffic management plan.
The only way a traffic management plan could make that scenario safe would be to fence off the whole track, which would mean fencing off almost all of the park. We would be left with the dog park, the bike track and a few flat bits around the edge.
For four years.