Convert horsepower to lucsec

Learn how to convert 1 horsepower to lucsec step by step.

Calculation Breakdown

Set up the equation

1.0 (h o r s e p o w e r) = x (l u c s e c)

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) = 746.0 (w a t t) = 746.0 (W)

Right side: 1.0 (l u c s e c) = 1.33322387415 \times 10^{- 4} (w a t t) = 1.33322387415 \times 10^{- 4} (W)

Insert known values into the conversion equation to determine

x

1.0 (h o r s e p o w e r) = x (l u c s e c)

Insert known values =>

1.0 \times 746.0 \times (w a t t) = x \times 1.33322387415 \times 10^{- 4} \times (w a t t)

Or

1.0 \cdot 746.0 \cdot (W) = x \cdot 1.33322387415 \times 10^{- 4} \cdot (W)

Cancel SI units

1.0 \times 746.0 \cdot (W) = x \times 1.33322387415 \times 10^{- 4} \times (W)

Conversion Equation

746.0 = x \times 1.33322387415 \times 10^{- 4}

Switch sides

x \times 1.33322387415 \times 10^{- 4} = 746.0

Isolate

x

Multiply both sides by

(\frac{1.0}{1.33322387415 \times 10^{- 4}})

x \times 1.33322387415 \times 10^{- 4} \times \frac{1.0}{1.33322387415 \times 10^{- 4}} = 746.0 \times \frac{1.0}{1.33322387415 \times 10^{- 4}}

Cancel

x \times 1.33322387415 \times 10^{- 4} \times \frac{1.0}{1.33322387415 \times 10^{- 4}} = 746.0 \times \frac{1.0}{1.33322387415 \times 10^{- 4}}

Simplify

x = \frac{746.0}{1.33322387415 \times 10^{- 4}}

Rewrite equation

\frac{1.0}{10^{- 4}} can be rewritten to 10^{4}

Rewrite

x = \frac{10^{4} \times 746.0}{1.33322387415}

Solve

x

x \approx 5595459.3558 \approx 5.5955 \times 10^{6}

Conversion Equation

1.0 (h o r s e p o w e r) \approx 5.5955 \times 10^{6} (l u c s e c)

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