An advanced spatial disorientation trainer allows the cab to rotate around multiple axes as well as extend inwards and outwards. It can be used to simulate driving, fixed wing aircraft flying, and helicopter maneuvering. In one training scenario, the trainer rotates and translates in the horizontal plane where the location of the pilot is defined by the relationships

And

Where r, (, and t are expressed in feet, radians, and seconds, respectively. Knowing that the pilot has a mass of 175 lbs,
(a) Find the magnitude of the resulting force acting on the pilot at t = 5 s
(b) Plot the magnitudes of the radial and transverse components of the force exerted on the pilot from 0 to 10 seconds.

r-10+2cos(9)