Convert horsepower • hour to BTU

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

Calculation Breakdown

Set up the equation

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

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

(j o u l e)

Left side: 1.0 (h o r s e p o w e r \times h o u r) = 2647795.5 (j o u l e) = 2647795.5 (J)

Right side: 1.0 (B T U) = 1055.87 (j o u l e) = 1055.87 (J)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 2647795.5 \times (j o u l e) = x \times 1055.87 \times (j o u l e)

Or

1.0 \cdot 2647795.5 \cdot (J) = x \cdot 1055.87 \cdot (J)

Cancel SI units

1.0 \times 2647795.5 \cdot (J) = x \times 1055.87 \times (J)

Conversion Equation

2647795.5 = x \times 1055.87

Switch sides

x \times 1055.87 = 2647795.5

Isolate

x

Multiply both sides by

(\frac{1.0}{1055.87})

x \times 1055.87 \times \frac{1.0}{1055.87} = 2647795.5 \times \frac{1.0}{1055.87}

Cancel

x \times 1055.87 \times \frac{1.0}{1055.87} = 2647795.5 \times \frac{1.0}{1055.87}

Simplify

x = \frac{2647795.5}{1055.87}

Solve

x

x \approx 2507.6908142 \approx 2.5077 \times 10^{3}

Conversion Equation

1.0 (h o r s e p o w e r \times h o u r) \approx 2.5077 \times 10^{3} (B T U)

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