Convert BTU / minute to (newton • meter) / hour

Learn how to convert 1 BTU / minute to (newton • meter) / hour step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{B T U}{m i n u t e}) = x (\frac{n e w t o n \times m e t e r}{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{n e w t o n \times m e t e r}{h o u r}) = \frac{10^{- 7}}{3.6 \times 10^{3}} (w a t t) = \frac{10^{- 7}}{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{n e w t o n \times m e t e r}{h o u r})

Insert known values =>

1.0 \times \frac{1054.5}{60.0} \times (w a t t) = x \times \frac{10^{- 7}}{3.6 \times 10^{3}} \times (w a t t)

Or

1.0 \cdot \frac{1054.5}{60.0} \cdot (W) = x \cdot \frac{10^{- 7}}{3.6 \times 10^{3}} \cdot (W)

Cancel SI units

1.0 \times \frac{1054.5}{60.0} \cdot (W) = x \times \frac{10^{- 7}}{3.6 \times 10^{3}} \times (W)

Conversion Equation

\frac{1054.5}{60.0} = x \times \frac{10^{- 7}}{3.6 \times 10^{3}}

Switch sides

x \times \frac{10^{- 7}}{3.6 \times 10^{3}} = \frac{1054.5}{60.0}

Isolate

x

Multiply both sides by

(\frac{3.6 \times 10^{3}}{10^{- 7}})

x \times \frac{10^{- 7}}{3.6 \times 10^{3}} \times \frac{3.6 \times 10^{3}}{10^{- 7}} = \frac{1054.5}{60.0} \times \frac{3.6 \times 10^{3}}{10^{- 7}}

Cancel

x \times \frac{10^{- 7} \times 3.6 \times 10^{3}}{3.6 \times 10^{3} \times 10^{- 7}} = \frac{1054.5 \times 3.6 \times 10^{3}}{60.0 \times 10^{- 7}}

Simplify

x = \frac{1054.5 \times 3.6 \times 10^{3}}{60.0 \times 10^{- 7}}

Rewrite equation

\frac{1.0}{10^{- 7}} can be rewritten to 10^{7}

Rewrite

x = \frac{10^{7} \times 1054.5 \times 3.6 \times 10^{3}}{60.0}

Simplify

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

Solve

x

x = 6.327 \times 10^{11}

Conversion Equation

1.0 (\frac{B T U}{m i n u t e}) = 6.327 \times 10^{11} (\frac{n e w t o n \times m e t e r}{h o u r})

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