Convert BTU / hour to horsepower

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

Calculation Breakdown

Set up the equation

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

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

(w a t t)

Left side: 1.0 (\frac{B T U}{h o u r}) = \frac{1054.35026444}{3.6 \times 10^{3}} (w a t t) = \frac{1054.35026444}{3.6 \times 10^{3}} (W)

Right side: 1.0 (h o r s e p o w e r) = 735.49875 (w a t t) = 735.49875 (W)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{1054.35026444}{3.6 \times 10^{3}} \times (w a t t) = x \times 735.49875 \times (w a t t)

Or

1.0 \cdot \frac{1054.35026444}{3.6 \times 10^{3}} \cdot (W) = x \cdot 735.49875 \cdot (W)

Cancel SI units

1.0 \times \frac{1054.35026444}{3.6 \times 10^{3}} \cdot (W) = x \times 735.49875 \times (W)

Conversion Equation

\frac{1054.35026444}{3.6 \times 10^{3}} = x \times 735.49875

Switch sides

x \times 735.49875 = \frac{1054.35026444}{3.6 \times 10^{3}}

Isolate

x

Multiply both sides by

(\frac{1.0}{735.49875})

x \times 735.49875 \times \frac{1.0}{735.49875} = \frac{1054.35026444}{3.6 \times 10^{3}} \times \frac{1.0}{735.49875}

Cancel

x \times 735.49875 \times \frac{1.0}{735.49875} = \frac{1054.35026444 \times 1.0}{3.6 \times 10^{3} \times 735.49875}

Simplify

x = \frac{1054.35026444}{3.6 \times 10^{3} \times 735.49875}

Rewrite equation

\frac{1.0}{10^{3}} can be rewritten to 10^{- 3}

Rewrite

x = \frac{10^{- 3} \times 1054.35026444}{3.6 \times 735.49875}

Solve

x

x \approx 0.0003981993 \approx 3.982 \times 10^{- 4}

Conversion Equation

1.0 (\frac{B T U}{h o u r}) \approx 3.982 \times 10^{- 4} (h o r s e p o w e r)

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