Convert horsepower to (newton • meter) / minute

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

Calculation Breakdown

Set up the equation

1.0 (h o r s e p o w e r) = x (\frac{n e w t o n \times m e t e r}{m i n u t e})

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

(w a t t)

Left side: 1.0 (h o r s e p o w e r) = 745.699872 (w a t t) = 745.699872 (W)

Right side: 1.0 (\frac{n e w t o n \times m e t e r}{m i n u t e}) = \frac{10^{- 7}}{60.0} (w a t t) = \frac{10^{- 7}}{60.0} (W)

Insert known values into the conversion equation to determine

x

1.0 (h o r s e p o w e r) = x (\frac{n e w t o n \times m e t e r}{m i n u t e})

Insert known values =>

1.0 \times 745.699872 \times (w a t t) = x \times \frac{10^{- 7}}{60.0} \times (w a t t)

Or

1.0 \cdot 745.699872 \cdot (W) = x \cdot \frac{10^{- 7}}{60.0} \cdot (W)

Cancel SI units

1.0 \times 745.699872 \cdot (W) = x \times \frac{10^{- 7}}{60.0} \times (W)

Conversion Equation

745.699872 = x \times \frac{10^{- 7}}{60.0}

Switch sides

x \times \frac{10^{- 7}}{60.0} = 745.699872

Isolate

x

Multiply both sides by

(\frac{60.0}{10^{- 7}})

x \times \frac{10^{- 7}}{60.0} \times \frac{60.0}{10^{- 7}} = 745.699872 \times \frac{60.0}{10^{- 7}}

Cancel

x \times \frac{10^{- 7} \times 60.0}{60.0 \times 10^{- 7}} = 745.699872 \times \frac{60.0}{10^{- 7}}

Simplify

x = \frac{745.699872 \times 60.0}{10^{- 7}}

Rewrite equation

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

Rewrite

x = 10^{7} \times 745.699872 \times 60.0

Solve

x

x = 4.474199232 \times 10^{11} \approx 4.4742 \times 10^{11}

Conversion Equation

1.0 (h o r s e p o w e r) \approx 4.4742 \times 10^{11} (\frac{n e w t o n \times m e t e r}{m i n u t e})

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