Convert gravet-force to atomic unit of force

Learn how to convert 1 gravet-force to atomic unit of force step by step.

Calculation Breakdown

Set up the equation

1.0 (g r a v e t - f o r c e) = x (a t o m i c u n i t o f f o r c e)

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

(n e w t o n)

Left side: 1.0 (g r a v e t - f o r c e) = 9.80665 \times 10^{- 3} (n e w t o n) = 9.80665 \times 10^{- 3} (N)

Right side: 1.0 (a t o m i c u n i t o f f o r c e) = 8.23872206 \times 10^{- 8} (n e w t o n) = 8.23872206 \times 10^{- 8} (N)

Insert known values into the conversion equation to determine

x

1.0 (g r a v e t - f o r c e) = x (a t o m i c u n i t o f f o r c e)

Insert known values =>

1.0 \times 9.80665 \times 10^{- 3} \times (n e w t o n) = x \times 8.23872206 \times 10^{- 8} \times (n e w t o n)

Or

1.0 \cdot 9.80665 \times 10^{- 3} \cdot (N) = x \cdot 8.23872206 \times 10^{- 8} \cdot (N)

Cancel SI units

1.0 \times 9.80665 \times 10^{- 3} \cdot (N) = x \times 8.23872206 \times 10^{- 8} \times (N)

Conversion Equation

9.80665 \times 10^{- 3} = x \times 8.23872206 \times 10^{- 8}

Cancel factors on both sides

Cancel factors

9.80665 \times 10^{- 3} = x \times 8.23872206 \times {10^{- 8}}^{10^{- 5}}

Simplify

9.80665 = x \times 8.23872206 \times 10^{- 5}

Switch sides

x \times 8.23872206 \times 10^{- 5} = 9.80665

Isolate

x

Multiply both sides by

(\frac{1.0}{8.23872206 \times 10^{- 5}})

x \times 8.23872206 \times 10^{- 5} \times \frac{1.0}{8.23872206 \times 10^{- 5}} = 9.80665 \times \frac{1.0}{8.23872206 \times 10^{- 5}}

Cancel

x \times 8.23872206 \times 10^{- 5} \times \frac{1.0}{8.23872206 \times 10^{- 5}} = 9.80665 \times \frac{1.0}{8.23872206 \times 10^{- 5}}

Simplify

x = \frac{9.80665}{8.23872206 \times 10^{- 5}}

Rewrite equation

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

Rewrite

x = \frac{10^{5} \times 9.80665}{8.23872206}

Solve

x

x \approx 119031.20324 \approx 1.1903 \times 10^{5}

Conversion Equation

1.0 (g r a v e t - f o r c e) \approx 1.1903 \times 10^{5} (a t o m i c u n i t o f f o r c e)

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