Answer:
a)
, b) 
Explanation:
a) The turntable has the following physical model by using Newton's laws:

The moment of inertia is:



b) The moment of inertia for a solid cylinder:

The mass of the turntable is:



They would most likely use statistics on the increase/decrease in population from previous decades and centuries. In addition to these statistics, they could use the birth and death rate and ultimately predict the increase within these next 30 years. They must also take climate change and other environmental factors into consideration when formulating such a bold prediction.
The initial force of motion and inward acting force