Convert foot-poundal to hartree

Learn how to convert 1 foot-poundal to hartree step by step.

Calculation Breakdown

Set up the equation

1.0 (f o o t - p o u n d a l) = x (h a r t r e e)

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

(j o u l e)

Left 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)

Right side: 1.0 (h a r t r e e) = 4.359744 \times 10^{- 18} (j o u l e) = 4.359744 \times 10^{- 18} (J)

Insert known values into the conversion equation to determine

x

1.0 (f o o t - p o u n d a l) = x (h a r t r e e)

Insert known values =>

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

Or

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

Cancel SI units

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

Conversion Equation

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

Cancel factors on both sides

Cancel factors

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

Simplify

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

Switch sides

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

Isolate

x

Multiply both sides by

(\frac{1.0}{4.359744 \times 10^{- 16}})

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

Cancel

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

Simplify

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

Rewrite equation

\frac{1.0}{10^{- 16}} can be rewritten to 10^{16}

Rewrite

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

Solve

x

x \approx 9.6657303947 \times 10^{15} \approx 9.6657 \times 10^{15}

Conversion Equation

1.0 (f o o t - p o u n d a l) \approx 9.6657 \times 10^{15} (h a r t r e e)

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