Exact Horsepower to Watt Calculation

Also know as: Where does 37284993579113511/50000000000000 come from?

1 hp = 33000 ft-lbf/min by definition

1 min = 60 s

1 foot = 3048/10000 (0.3048) meter

1 lb = 45359237/100000000 (0.45359237) kg

1 g = 196133/20000 (9.80665) m/s²

therefore:

1 hp = wolfram-alpha-exact-horsepower-to-watts-calculation =

wolfram-alpha-exact-horsepower-to-watts-fraction watt

Exact results

1 hp = 37284993579113511/50000000000000 watt exactly (irreducible fraction) or

1 hp = 745.69987158227022 watt exactly (decimal)

 

See the input on Wolfram Alpha

http://www.wolframalpha.com/input/?i=%2833000*3048*45359237*196133%29%2F%2860*10000*100000000*20000%29

Compare to the given fraction:

http://www.wolframalpha.com/input/?i=37284993579113511%2F50000000000000

Where used:

Embedded images from Wolfram Alpha