Convert watt to horsepower

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

Calculation Breakdown

Set up the equation

1.0 (w a t t) = 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 (w a t t) = 1.0 (w a t t) = 1.0 (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 (w a t t) = x (h o r s e p o w e r)

Insert known values =>

1.0 \times 1.0 \times (w a t t) = x \times 746.0 \times (w a t t)

Or

1.0 \cdot 1.0 \cdot (W) = x \cdot 746.0 \cdot (W)

Cancel SI units

1.0 \times 1.0 \cdot (W) = x \times 746.0 \times (W)

Conversion Equation

1.0 = x \times 746.0

Simplify

1.0 = x \times 746.0

Switch sides

x \times 746.0 = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{746.0})

x \times 746.0 \times \frac{1.0}{746.0} = 1.0 \times \frac{1.0}{746.0}

Cancel

x \times 746.0 \times \frac{1.0}{746.0} = 1.0 \times \frac{1.0}{746.0}

Simplify

x = \frac{1.0}{746.0}

Solve

x

x \approx 0.0013404826 \approx 1.3405 \times 10^{- 3}

Conversion Equation

1.0 (w a t t) \approx 1.3405 \times 10^{- 3} (h o r s e p o w e r)

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