Question: #9. (a) [4] Determine the specied equation for each graph: As a transformed COSINE function: 05' #1 A water wheel with a radius of 6

#9. (a) [4] Determine the specied equation for each graph: As a transformed COSINE function: 05' #1 A water wheel with a radius of 6 m makes one complete revolution every 80 s. The bottom of the wheel is 1.5 m below the surface of the water. (a) Sketch the 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: 310) [3] I (b) Determine an equation for 110') from {a}: [5] (c) What is the height of the bucket after one minute?I [2] (d) How fast is a bucket on the water wheel moving (up or down) at t = 100 seconds? [3] (e) They forget to lubricate the water wheel, and it begins to slow down. What effect will this have on your equation in part (a)? Explain. [2]

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