Convert horsepower to BTU / second

Learn how to convert 1 horsepower to BTU / second step by step.

Calculation Breakdown

Set up the equation

1.0 (h o r s e p o w e r) = x (\frac{B T U}{s e c o n d})

Define the base values of the selected units in relation to the SI unit

(w a t t)

Left side: 1.0 (h o r s e p o w e r) = 745.699872 (w a t t) = 745.699872 (W)

Right side: 1.0 (\frac{B T U}{s e c o n d}) = 1054.5 (w a t t) = 1054.5 (W)

Insert known values into the conversion equation to determine

x

1.0 (h o r s e p o w e r) = x (\frac{B T U}{s e c o n d})

Insert known values =>

1.0 \times 745.699872 \times (w a t t) = x \times 1054.5 \times (w a t t)

Or

1.0 \cdot 745.699872 \cdot (W) = x \cdot 1054.5 \cdot (W)

Cancel SI units

1.0 \times 745.699872 \cdot (W) = x \times 1054.5 \times (W)

Conversion Equation

745.699872 = x \times 1054.5

Switch sides

x \times 1054.5 = 745.699872

Isolate

x

Multiply both sides by

(\frac{1.0}{1054.5})

x \times 1054.5 \times \frac{1.0}{1054.5} = 745.699872 \times \frac{1.0}{1054.5}

Cancel

x \times 1054.5 \times \frac{1.0}{1054.5} = 745.699872 \times \frac{1.0}{1054.5}

Simplify

x = \frac{745.699872}{1054.5}

Solve

x

x \approx 0.70715967 \approx 7.0716 \times 10^{- 1}

Conversion Equation

1.0 (h o r s e p o w e r) \approx 7.0716 \times 10^{- 1} (\frac{B T U}{s e c o n d})

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