Ms Salaveria has decided to put her background in physics to work for the good of the environment. She patented a thin water wheel design that you can put anywhere that runoff water from rain, snow melting, etc. will cause it to turn and generate power. The first wheel constructed had a radius of 12 meters and the bottom of the wheel sat 1 m above a riverbed that is 5 m below the ground. Ms Salaveria's company logo started at 8 meters above the ground and travelled in a counterclockwise direction. It took the wheel 20 minutes to complete one cycle. 1. Sketch the situation for 1 h. 2. Determine 2 equations for the situation, one sine and one cosine, using the smallest phase shift possible, so that both equations show a vertical reflection on the x-axis. 3. How much distance will the logo have travelled in 2 hours?

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Ms Salaveria has decided to put her background in physics to work for the good of the environment. She
patented a thin water wheel design that you can put anywhere that runoff water from rain, snow melting,
etc. will cause it to turn and generate power.
The first wheel constructed had a radius of 12 meters and the bottom of the wheel sat 1 m above a
riverbed that is 5 m below the ground. Ms Salaveria's company logo started at 8 meters above the ground
and travelled in a counterclockwise direction. It took the wheel 20 minutes to complete one cycle.
1. Sketch the situation for 1 h.
2. Determine 2 equations for the situation, one sine and one cosine, using the smallest phase shift
possible, so that both equations show a vertical reflection on the x-axis.
3. How much distance will the logo have travelled in 2 hours?
Transcribed Image Text:Ms Salaveria has decided to put her background in physics to work for the good of the environment. She patented a thin water wheel design that you can put anywhere that runoff water from rain, snow melting, etc. will cause it to turn and generate power. The first wheel constructed had a radius of 12 meters and the bottom of the wheel sat 1 m above a riverbed that is 5 m below the ground. Ms Salaveria's company logo started at 8 meters above the ground and travelled in a counterclockwise direction. It took the wheel 20 minutes to complete one cycle. 1. Sketch the situation for 1 h. 2. Determine 2 equations for the situation, one sine and one cosine, using the smallest phase shift possible, so that both equations show a vertical reflection on the x-axis. 3. How much distance will the logo have travelled in 2 hours?
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