You have been asked to investigate how simple and complex rotational systems can be modelled mathematically to predict how they will operate. To do this: You will produce a report detailing the solution of a series of problems related to simple and complex systems involving rotation. Your report should clearly indicate your understanding of each problem, the selection and application of appropriate mathematical models to solve them, and the relevance of the solutions obtained. A) A light aircraft has a mass of 4000kg. It is circling an airport at a speed of 150m/s at a radius of 1000m. Calculate the i. ii. centripetal acceleration centripetal force B) A mass of 20g is placed on a flat disc. It is connected to the centre of the disc by a spring 20cm long. The spring constant is 35N/mm. The disc is spinning at 2000rpm. Calculate the i. centripetal acceleration ii. centripetal force iii. extension of the spring