Convert hour to Olympiad

Learn how to convert 1 hour to Olympiad step by step.

Calculation Breakdown

Set up the equation

1.0 (h o u r) = x (O l y m p i a d)

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

(s e c o n d)

Left side: 1.0 (h o u r) = 3.6 \times 10^{3} (s e c o n d) = 3.6 \times 10^{3} (s)

Right side: 1.0 (O l y m p i a d) = 1.26144 \times 10^{8} (s e c o n d) = 1.26144 \times 10^{8} (s)

Insert known values into the conversion equation to determine

x

1.0 (h o u r) = x (O l y m p i a d)

Insert known values =>

1.0 \times 3.6 \times 10^{3} \times (s e c o n d) = x \times 1.26144 \times 10^{8} \times (s e c o n d)

Or

1.0 \cdot 3.6 \times 10^{3} \cdot (s) = x \cdot 1.26144 \times 10^{8} \cdot (s)

Cancel SI units

1.0 \times 3.6 \times 10^{3} \cdot (s) = x \times 1.26144 \times 10^{8} \times (s)

Conversion Equation

3.6 \times 10^{3} = x \times 1.26144 \times 10^{8}

Cancel factors on both sides

Cancel factors

3.6 \times 10^{3} = x \times 1.26144 \times {10^{8}}^{10^{5}}

Simplify

3.6 = x \times 1.26144 \times 10^{5}

Switch sides

x \times 1.26144 \times 10^{5} = 3.6

Isolate

x

Multiply both sides by

(\frac{1.0}{1.26144 \times 10^{5}})

x \times 1.26144 \times 10^{5} \times \frac{1.0}{1.26144 \times 10^{5}} = 3.6 \times \frac{1.0}{1.26144 \times 10^{5}}

Cancel

x \times 1.26144 \times 10^{5} \times \frac{1.0}{1.26144 \times 10^{5}} = 3.6 \times \frac{1.0}{1.26144 \times 10^{5}}

Simplify

x = \frac{3.6}{1.26144 \times 10^{5}}

Rewrite equation

\frac{1.0}{10^{5}} can be rewritten to 10^{- 5}

Rewrite

x = \frac{10^{- 5} \times 3.6}{1.26144}

Solve

x

x \approx 0.0000285388 \approx 2.8539 \times 10^{- 5}

Conversion Equation

1.0 (h o u r) \approx 2.8539 \times 10^{- 5} (O l y m p i a d)

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