(Solved): A water wheel with a radius of 6m makes one complete revolution every 80s. The bottom of the wh ...

A water wheel with a radius of $$6\mathrm{m}$$ makes one complete revolution every $$80\mathrm{s}$$. The bottom of the wheel is $$1.5\mathrm{m}$$ below the surface of the water. (a) Determine a function giving the height of a bucket on the water wheel over time starting with when the bucket is at the bottom of the wheel. (b) Find the height of the bucket after 8 minutes. [2] (c) They forget to lubricate the water wheel, and it begins to slow down. What effect will this have on your equation in part (a)? [2]