Convert atomic unit of energy to foot-poundal

Learn how to convert 1 atomic unit of energy to foot-poundal step by step.

Calculation Breakdown

Set up the equation

1.0 (a t o m i c u n i t o f e n e r g y) = x (f o o t - p o u n d a l)

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

(j o u l e)

Left side: 1.0 (a t o m i c u n i t o f e n e r g y) = 4.359744 \times 10^{- 18} (j o u l e) = 4.359744 \times 10^{- 18} (J)

Right side: 1.0 (f o o t - p o u n d a l) = 4.21401100938048 \times 10^{- 2} (j o u l e) = 4.21401100938048 \times 10^{- 2} (J)

Insert known values into the conversion equation to determine

x

1.0 (a t o m i c u n i t o f e n e r g y) = x (f o o t - p o u n d a l)

Insert known values =>

1.0 \times 4.359744 \times 10^{- 18} \times (j o u l e) = x \times 4.21401100938048 \times 10^{- 2} \times (j o u l e)

Or

1.0 \cdot 4.359744 \times 10^{- 18} \cdot (J) = x \cdot 4.21401100938048 \times 10^{- 2} \cdot (J)

Cancel SI units

1.0 \times 4.359744 \times 10^{- 18} \cdot (J) = x \times 4.21401100938048 \times 10^{- 2} \times (J)

Conversion Equation

4.359744 \times 10^{- 18} = x \times 4.21401100938048 \times 10^{- 2}

Cancel factors on both sides

Cancel factors

4.359744 \times {10^{- 18}}^{10^{- 16}} = x \times 4.21401100938048 \times 10^{- 2}

Simplify

4.359744 \times 10^{- 16} = x \times 4.21401100938048

Switch sides

x \times 4.21401100938048 = 4.359744 \times 10^{- 16}

Isolate

x

Multiply both sides by

(\frac{1.0}{4.21401100938048})

x \times 4.21401100938048 \times \frac{1.0}{4.21401100938048} = 4.359744 \times 10^{- 16} \times \frac{1.0}{4.21401100938048}

Cancel

x \times 4.21401100938048 \times \frac{1.0}{4.21401100938048} = 4.359744 \times 10^{- 16} \times \frac{1.0}{4.21401100938048}

Simplify

x = \frac{4.359744 \times 10^{- 16}}{4.21401100938048}

Solve

x

x \approx 1.0345829639 \times 10^{- 16} \approx 1.0346 \times 10^{- 16}

Conversion Equation

1.0 (a t o m i c u n i t o f e n e r g y) \approx 1.0346 \times 10^{- 16} (f o o t - p o u n d a l)

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