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 = =
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
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