Convert parsec to fall

Learn how to convert 1 parsec to fall step by step.

Calculation Breakdown

Set up the equation

1.0 (p a r s e c) = x (f a l l)

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

(m e t e r)

Left side: 1.0 (p a r s e c) = 3.08567400801506 \times 10^{16} (m e t e r) = 3.08567400801506 \times 10^{16} (m)

Right side: 1.0 (f a l l) = 5.67 (m e t e r) = 5.67 (m)

Insert known values into the conversion equation to determine

x

1.0 (p a r s e c) = x (f a l l)

Insert known values =>

1.0 \times 3.08567400801506 \times 10^{16} \times (m e t e r) = x \times 5.67 \times (m e t e r)

Or

1.0 \cdot 3.08567400801506 \times 10^{16} \cdot (m) = x \cdot 5.67 \cdot (m)

Cancel SI units

1.0 \times 3.08567400801506 \times 10^{16} \cdot (m) = x \times 5.67 \times (m)

Conversion Equation

3.08567400801506 \times 10^{16} = x \times 5.67

Switch sides

x \times 5.67 = 3.08567400801506 \times 10^{16}

Isolate

x

Multiply both sides by

(\frac{1.0}{5.67})

x \times 5.67 \times \frac{1.0}{5.67} = 3.08567400801506 \times 10^{16} \times \frac{1.0}{5.67}

Cancel

x \times 5.67 \times \frac{1.0}{5.67} = 3.08567400801506 \times 10^{16} \times \frac{1.0}{5.67}

Simplify

x = \frac{3.08567400801506 \times 10^{16}}{5.67}

Solve

x

x \approx 5.4421058342 \times 10^{15} \approx 5.4421 \times 10^{15}

Conversion Equation

1.0 (p a r s e c) \approx 5.4421 \times 10^{15} (f a l l)

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