
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In a stream mill, an overshot wheel is in use. Water flows in the channel at $1.4 \frac{\mathrm{m}}{\mathrm{sec}}$ and then reaches the wheel. The width of the channel is $0.5 \mathrm{~m}$, the water thickness is $0.13 \mathrm{~m}$, and the diameter of the wheel is $3 \mathrm{~m}$. The overshot wheel converts $78\%$ of the energy into effective work (efficiency: 0.78). How many effective horsepower does this wheel have?

Present the answer in LaTex format: \boxed{Your answer}
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