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1 HP≡ 33,000 ft·lbf/minby definition= 550 ft·lbf/ssince1 min = 60 s= 550×0.3048×0.45359237 m·kgf/s since1 ft= 0.3048 m and= 76.0402249068 kgf·m/s1 lb= 0.45359237 kg= 76.0402249068×9.80665 kg·m2/s3g= 9.80665 m/s2= 745.69987158227022 Wsince1 W≡ 1 J/s = 1 N·m/s = 1 (kg·m/s2)·(m/s)

Or given that 1 hp = 550 ft·lbf/s, 1 ft = 0.3048 m, 1 lbf ≈ 4.448 N, 1 J = 1 N·m, 1 W = 1 J/s: 1 hp = 746 W

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