Convert fall to tan(段)

Learn how to convert 1 fall to tan(段) step by step.

Calculation Breakdown

Set up the equation

1.0 (f a l l) = x (t a n (段))

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

(s q u a r e m e t e r)

Left side: 1.0 (f a l l) = 31.89877441 (s q u a r e m e t e r) = 31.89877441 (m^{2})

Right side: 1.0 (t a n (段)) = \frac{1.2 \times 10^{5}}{121.0} (s q u a r e m e t e r) = \frac{1.2 \times 10^{5}}{121.0} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (f a l l) = x (t a n (段))

Insert known values =>

1.0 \times 31.89877441 \times (s q u a r e m e t e r) = x \times \frac{1.2 \times 10^{5}}{121.0} \times (s q u a r e m e t e r)

Or

1.0 \cdot 31.89877441 \cdot (m^{2}) = x \cdot \frac{1.2 \times 10^{5}}{121.0} \cdot (m^{2})

Cancel SI units

1.0 \times 31.89877441 \cdot (m^{2}) = x \times \frac{1.2 \times 10^{5}}{121.0} \times (m^{2})

Conversion Equation

31.89877441 = x \times \frac{1.2 \times 10^{5}}{121.0}

Switch sides

x \times \frac{1.2 \times 10^{5}}{121.0} = 31.89877441

Isolate

x

Multiply both sides by

(\frac{121.0}{1.2 \times 10^{5}})

x \times \frac{1.2 \times 10^{5}}{121.0} \times \frac{121.0}{1.2 \times 10^{5}} = 31.89877441 \times \frac{121.0}{1.2 \times 10^{5}}

Cancel

x \times \frac{1.2 \times 10^{5} \times 121.0}{121.0 \times 1.2 \times 10^{5}} = 31.89877441 \times \frac{121.0}{1.2 \times 10^{5}}

Simplify

x = \frac{31.89877441 \times 121.0}{1.2 \times 10^{5}}

Rewrite equation

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

Rewrite

x = \frac{10^{- 5} \times 31.89877441 \times 121.0}{1.2}

Solve

x

x \approx 0.0321645975 \approx 3.2165 \times 10^{- 2}

Conversion Equation

1.0 (f a l l) \approx 3.2165 \times 10^{- 2} (t a n (段))

View All Examples