A Ferris wheel at a fair has a radius of 15m. It makes 8 complete turns in 5min.
a. (i) Determine the time required for one full turn.
b. (ii) Calculate the speed of a passenger seated at the rim.
c. (iii) How far will the passenger move along the circular path in 15min at the same speed?
d. (iv) Estimate the number of complete turns the wheel must make for the passenger to travel 1.0km along the circular path.