Convert horsepower to erg / second

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

Calculation Breakdown

Set up the equation

1.0 (h o r s e p o w e r) = x (\frac{e r g}{s e c o n d})

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) = 735.49875 (w a t t) = 735.49875 (W)

Right side: 1.0 (\frac{e r g}{s e c o n d}) = 10^{- 7} (w a t t) = 10^{- 7} (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{e r g}{s e c o n d})

Insert known values =>

1.0 \times 735.49875 \times (w a t t) = x \times 10^{- 7} \times (w a t t)

Or

1.0 \cdot 735.49875 \cdot (W) = x \cdot 10^{- 7} \cdot (W)

Cancel SI units

1.0 \times 735.49875 \cdot (W) = x \times 10^{- 7} \times (W)

Conversion Equation

735.49875 = x \times 10^{- 7}

Switch sides

x \times 10^{- 7} = 735.49875

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 7}})

x \times 10^{- 7} \times \frac{1.0}{10^{- 7}} = 735.49875 \times \frac{1.0}{10^{- 7}}

Cancel

x \times 10^{- 7} \times \frac{1.0}{10^{- 7}} = 735.49875 \times \frac{1.0}{10^{- 7}}

Simplify

x = \frac{735.49875}{10^{- 7}}

Rewrite equation

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

Rewrite

x = 10^{7} \times 735.49875

Solve

x

x = 7354987500 \approx 7.355 \times 10^{9}

Conversion Equation

1.0 (h o r s e p o w e r) \approx 7.355 \times 10^{9} (\frac{e r g}{s e c o n d})

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