Convert poncelet to erg / hour

Learn how to convert 1 poncelet to erg / hour step by step.

Calculation Breakdown

Set up the equation

1.0 (p o n c e l e t) = x (\frac{e r g}{h o u r})

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

(w a t t)

Left side: 1.0 (p o n c e l e t) = 980.665 (w a t t) = 980.665 (W)

Right side: 1.0 (\frac{e r g}{h o u r}) = \frac{10^{- 7}}{3.6 \times 10^{3}} (w a t t) = \frac{10^{- 7}}{3.6 \times 10^{3}} (W)

Insert known values into the conversion equation to determine

x

1.0 (p o n c e l e t) = x (\frac{e r g}{h o u r})

Insert known values =>

1.0 \times 980.665 \times (w a t t) = x \times \frac{10^{- 7}}{3.6 \times 10^{3}} \times (w a t t)

Or

1.0 \cdot 980.665 \cdot (W) = x \cdot \frac{10^{- 7}}{3.6 \times 10^{3}} \cdot (W)

Cancel SI units

1.0 \times 980.665 \cdot (W) = x \times \frac{10^{- 7}}{3.6 \times 10^{3}} \times (W)

Conversion Equation

980.665 = x \times \frac{10^{- 7}}{3.6 \times 10^{3}}

Switch sides

x \times \frac{10^{- 7}}{3.6 \times 10^{3}} = 980.665

Isolate

x

Multiply both sides by

(\frac{3.6 \times 10^{3}}{10^{- 7}})

x \times \frac{10^{- 7}}{3.6 \times 10^{3}} \times \frac{3.6 \times 10^{3}}{10^{- 7}} = 980.665 \times \frac{3.6 \times 10^{3}}{10^{- 7}}

Cancel

x \times \frac{10^{- 7} \times 3.6 \times 10^{3}}{3.6 \times 10^{3} \times 10^{- 7}} = 980.665 \times \frac{3.6 \times 10^{3}}{10^{- 7}}

Simplify

x = \frac{980.665 \times 3.6 \times 10^{3}}{10^{- 7}}

Rewrite equation

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

Rewrite

x = 10^{7} \times 980.665 \times 3.6 \times 10^{3}

Simplify

x = 10^{10} \times 980.665 \times 3.6

Solve

x

x = 3.530394 \times 10^{13} \approx 3.5304 \times 10^{13}

Conversion Equation

1.0 (p o n c e l e t) \approx 3.5304 \times 10^{13} (\frac{e r g}{h o u r})

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