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

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

Calculation Breakdown

Set up the equation

1.0 (\frac{f o o t \times p o u n d}{m i n u t e}) = x (\frac{B T U}{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{f o o t \times p o u n d}{m i n u t e}) = \frac{1.3558180656}{60.0} (w a t t) = \frac{1.3558180656}{60.0} (W)

Right side: 1.0 (\frac{B T U}{h o u r}) = \frac{1055.05585262}{3.6 \times 10^{3}} (w a t t) = \frac{1055.05585262}{3.6 \times 10^{3}} (W)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{1.3558180656}{60.0} \times (w a t t) = x \times \frac{1055.05585262}{3.6 \times 10^{3}} \times (w a t t)

Or

1.0 \cdot \frac{1.3558180656}{60.0} \cdot (W) = x \cdot \frac{1055.05585262}{3.6 \times 10^{3}} \cdot (W)

Cancel SI units

1.0 \times \frac{1.3558180656}{60.0} \cdot (W) = x \times \frac{1055.05585262}{3.6 \times 10^{3}} \times (W)

Conversion Equation

\frac{1.3558180656}{60.0} = x \times \frac{1055.05585262}{3.6 \times 10^{3}}

Switch sides

x \times \frac{1055.05585262}{3.6 \times 10^{3}} = \frac{1.3558180656}{60.0}

Isolate

x

Multiply both sides by

(\frac{3.6 \times 10^{3}}{1055.05585262})

x \times \frac{1055.05585262}{3.6 \times 10^{3}} \times \frac{3.6 \times 10^{3}}{1055.05585262} = \frac{1.3558180656}{60.0} \times \frac{3.6 \times 10^{3}}{1055.05585262}

Cancel

x \times \frac{1055.05585262 \times 3.6 \times 10^{3}}{3.6 \times 10^{3} \times 1055.05585262} = \frac{1.3558180656 \times 3.6 \times 10^{3}}{60.0 \times 1055.05585262}

Simplify

x = \frac{1.3558180656 \times 3.6 \times 10^{3}}{60.0 \times 1055.05585262}

Solve

x

x \approx 0.0771040545 \approx 7.7104 \times 10^{- 2}

Conversion Equation

1.0 (\frac{f o o t \times p o u n d}{m i n u t e}) \approx 7.7104 \times 10^{- 2} (\frac{B T U}{h o u r})

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