Convert erg / minute to horsepower

Learn how to convert 1 erg / minute to horsepower step by step.

Calculation Breakdown

Set up the equation

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

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

(w a t t)

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

Right side: 1.0 (h o r s e p o w e r) = 746.0 (w a t t) = 746.0 (W)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{10^{- 7}}{60.0} \times (w a t t) = x \times 746.0 \times (w a t t)

Or

1.0 \cdot \frac{10^{- 7}}{60.0} \cdot (W) = x \cdot 746.0 \cdot (W)

Cancel SI units

1.0 \times \frac{10^{- 7}}{60.0} \cdot (W) = x \times 746.0 \times (W)

Conversion Equation

\frac{10^{- 7}}{60.0} = x \times 746.0

Switch sides

x \times 746.0 = \frac{10^{- 7}}{60.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{746.0})

x \times 746.0 \times \frac{1.0}{746.0} = \frac{10^{- 7}}{60.0} \times \frac{1.0}{746.0}

Cancel

x \times 746.0 \times \frac{1.0}{746.0} = \frac{10^{- 7} \times 1.0}{60.0 \times 746.0}

Simplify

x = \frac{10^{- 7}}{60.0 \times 746.0}

Solve

x

x \approx 2.2341376229 \times 10^{- 12} \approx 2.2341 \times 10^{- 12}

Conversion Equation

1.0 (\frac{e r g}{m i n u t e}) \approx 2.2341 \times 10^{- 12} (h o r s e p o w e r)

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