Horsepower
Calculations
The horsepower requirements for the hoist
can be determined through a series of equations:
![](data:image/png;base64,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)
Plotting the horsepower requirements at various
points throughout the hoisting cycle, seen above as
HP1-HP6,
results in the following HP vs Time plot:
![](data:image/png;base64,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)
|