# Convert foot / second to furlong / second

Learn how to convert 1 foot / second to furlong / second step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(\dfrac{foot}{second}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{furlong}{second}\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(\dfrac{meter}{second}\right)$$
$$\text{Left side: 1.0 } \left(\dfrac{foot}{second}\right) = {\color{rgb(89,182,91)} 3.048 \times 10^{-1}\left(\dfrac{meter}{second}\right)} = {\color{rgb(89,182,91)} 3.048 \times 10^{-1}\left(\dfrac{m}{s}\right)}$$
$$\text{Right side: 1.0 } \left(\dfrac{furlong}{second}\right) = {\color{rgb(125,164,120)} 201.168\left(\dfrac{meter}{second}\right)} = {\color{rgb(125,164,120)} 201.168\left(\dfrac{m}{s}\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(\dfrac{foot}{second}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{furlong}{second}\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 3.048 \times 10^{-1}} \times {\color{rgb(89,182,91)} \left(\dfrac{meter}{second}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 201.168}} \times {\color{rgb(125,164,120)} \left(\dfrac{meter}{second}\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 3.048 \times 10^{-1}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{m}{s}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 201.168} \cdot {\color{rgb(125,164,120)} \left(\dfrac{m}{s}\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 3.048 \times 10^{-1}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{m}{s}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 201.168} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{m}{s}\right)}}$$
$$\text{Conversion Equation}$$
$$3.048 \times 10^{-1} = {\color{rgb(20,165,174)} x} \times 201.168$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 201.168 = 3.048 \times 10^{-1}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{201.168}\right)$$
$${\color{rgb(20,165,174)} x} \times 201.168 \times \dfrac{1.0}{201.168} = 3.048 \times 10^{-1} \times \dfrac{1.0}{201.168}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{201.168}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{201.168}}} = 3.048 \times 10^{-1} \times \dfrac{1.0}{201.168}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{3.048 \times 10^{-1}}{201.168}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx0.0015151515\approx1.5152 \times 10^{-3}$$
$$\text{Conversion Equation}$$
$$1.0\left(\dfrac{foot}{second}\right)\approx{\color{rgb(20,165,174)} 1.5152 \times 10^{-3}}\left(\dfrac{furlong}{second}\right)$$