Convert BTU / minute to (foot • pound) / hour

Learn how to convert 1 BTU / minute to (foot • pound) / hour step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{B T U}{m i n u t e}) = x (\frac{f o o t \times p o u n d}{h o u 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}{m i n u t e}) = \frac{1054.5}{60.0} (w a t t) = \frac{1054.5}{60.0} (W)

Right side: 1.0 (\frac{f o o t \times p o u n d}{h o u r}) = \frac{1.3558180656}{3.6 \times 10^{3}} (w a t t) = \frac{1.3558180656}{3.6 \times 10^{3}} (W)

Insert known values into the conversion equation to determine

x

1.0 (\frac{B T U}{m i n u t e}) = x (\frac{f o o t \times p o u n d}{h o u r})

Insert known values =>

1.0 \times \frac{1054.5}{60.0} \times (w a t t) = x \times \frac{1.3558180656}{3.6 \times 10^{3}} \times (w a t t)

Or

1.0 \cdot \frac{1054.5}{60.0} \cdot (W) = x \cdot \frac{1.3558180656}{3.6 \times 10^{3}} \cdot (W)

Cancel SI units

1.0 \times \frac{1054.5}{60.0} \cdot (W) = x \times \frac{1.3558180656}{3.6 \times 10^{3}} \times (W)

Conversion Equation

\frac{1054.5}{60.0} = x \times \frac{1.3558180656}{3.6 \times 10^{3}}

Switch sides

x \times \frac{1.3558180656}{3.6 \times 10^{3}} = \frac{1054.5}{60.0}

Isolate

x

Multiply both sides by

(\frac{3.6 \times 10^{3}}{1.3558180656})

x \times \frac{1.3558180656}{3.6 \times 10^{3}} \times \frac{3.6 \times 10^{3}}{1.3558180656} = \frac{1054.5}{60.0} \times \frac{3.6 \times 10^{3}}{1.3558180656}

Cancel

x \times \frac{1.3558180656 \times 3.6 \times 10^{3}}{3.6 \times 10^{3} \times 1.3558180656} = \frac{1054.5 \times 3.6 \times 10^{3}}{60.0 \times 1.3558180656}

Simplify

x = \frac{1054.5 \times 3.6 \times 10^{3}}{60.0 \times 1.3558180656}

Solve

x

x \approx 46665.553149 \approx 4.6666 \times 10^{4}

Conversion Equation

1.0 (\frac{B T U}{m i n u t e}) \approx 4.6666 \times 10^{4} (\frac{f o o t \times p o u n d}{h o u r})

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