Convert light-second to lap

Learn how to convert 1 light-second to lap step by step.

Calculation Breakdown

Set up the equation

1.0 (l i g h t - s e c o n d) = x (l a p)

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

(m e t e r)

Left side: 1.0 (l i g h t - s e c o n d) = 299792458.0 (m e t e r) = 299792458.0 (m)

Right side: 1.0 (l a p) = 4.0 \times 10^{2} (m e t e r) = 4.0 \times 10^{2} (m)

Insert known values into the conversion equation to determine

x

1.0 (l i g h t - s e c o n d) = x (l a p)

Insert known values =>

1.0 \times 299792458.0 \times (m e t e r) = x \times 4.0 \times 10^{2} \times (m e t e r)

Or

1.0 \cdot 299792458.0 \cdot (m) = x \cdot 4.0 \times 10^{2} \cdot (m)

Cancel SI units

1.0 \times 299792458.0 \cdot (m) = x \times 4.0 \times 10^{2} \times (m)

Conversion Equation

299792458.0 = x \times 4.0 \times 10^{2}

Switch sides

x \times 4.0 \times 10^{2} = 299792458.0

Isolate

x

Multiply both sides by

(\frac{1.0}{4.0 \times 10^{2}})

x \times 4.0 \times 10^{2} \times \frac{1.0}{4.0 \times 10^{2}} = 299792458.0 \times \frac{1.0}{4.0 \times 10^{2}}

Cancel

x \times 4.0 \times 10^{2} \times \frac{1.0}{4.0 \times 10^{2}} = 299792458.0 \times \frac{1.0}{4.0 \times 10^{2}}

Simplify

x = \frac{299792458.0}{4.0 \times 10^{2}}

Rewrite equation

\frac{1.0}{10^{2}} can be rewritten to 10^{- 2}

Rewrite

x = \frac{10^{- 2} \times 299792458.0}{4.0}

Solve

x

x = 749481.145 \approx 7.4948 \times 10^{5}

Conversion Equation

1.0 (l i g h t - s e c o n d) \approx 7.4948 \times 10^{5} (l a p)

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