# Convert foot / minute to meter / hour

Learn how to convert 1 foot / minute to meter / hour step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(\dfrac{foot}{minute}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{meter}{hour}\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(\dfrac{meter}{second}\right)$$
$$\text{Left side: 1.0 } \left(\dfrac{foot}{minute}\right) = {\color{rgb(89,182,91)} \dfrac{3.048 \times 10^{-1}}{60.0}\left(\dfrac{meter}{second}\right)} = {\color{rgb(89,182,91)} \dfrac{3.048 \times 10^{-1}}{60.0}\left(\dfrac{m}{s}\right)}$$
$$\text{Right side: 1.0 } \left(\dfrac{meter}{hour}\right) = {\color{rgb(125,164,120)} \dfrac{1.0}{3.6 \times 10^{3}}\left(\dfrac{meter}{second}\right)} = {\color{rgb(125,164,120)} \dfrac{1.0}{3.6 \times 10^{3}}\left(\dfrac{m}{s}\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(\dfrac{foot}{minute}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{meter}{hour}\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{3.048 \times 10^{-1}}{60.0}} \times {\color{rgb(89,182,91)} \left(\dfrac{meter}{second}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{1.0}{3.6 \times 10^{3}}}} \times {\color{rgb(125,164,120)} \left(\dfrac{meter}{second}\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} \dfrac{3.048 \times 10^{-1}}{60.0}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{m}{s}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{1.0}{3.6 \times 10^{3}}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{m}{s}\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{3.048 \times 10^{-1}}{60.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{m}{s}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{1.0}{3.6 \times 10^{3}}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{m}{s}\right)}}$$
$$\text{Conversion Equation}$$
$$\dfrac{3.048 \times 10^{-1}}{60.0} = {\color{rgb(20,165,174)} x} \times \dfrac{1.0}{3.6 \times 10^{3}}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times \dfrac{1.0}{3.6 \times 10^{3}} = \dfrac{3.048 \times 10^{-1}}{60.0}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{3.6 \times 10^{3}}{1.0}\right)$$
$${\color{rgb(20,165,174)} x} \times \dfrac{1.0}{3.6 \times 10^{3}} \times \dfrac{3.6 \times 10^{3}}{1.0} = \dfrac{3.048 \times 10^{-1}}{60.0} \times \dfrac{3.6 \times 10^{3}}{1.0}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}} \times {\color{rgb(99,194,222)} \cancel{3.6}} \times {\color{rgb(166,218,227)} \cancel{10^{3}}}}{{\color{rgb(99,194,222)} \cancel{3.6}} \times {\color{rgb(166,218,227)} \cancel{10^{3}}} \times {\color{rgb(255,204,153)} \cancel{1.0}}} = \dfrac{3.048 \times {\color{rgb(255,204,153)} \cancel{10^{-1}}} \times 3.6 \times {\color{rgb(255,204,153)} \cancelto{10^{2}}{10^{3}}}}{60.0 \times 1.0}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{3.048 \times 3.6 \times 10^{2}}{60.0}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x} = 18.288$$
$$\text{Conversion Equation}$$
$$1.0\left(\dfrac{foot}{minute}\right) = {\color{rgb(20,165,174)} 18.288}\left(\dfrac{meter}{hour}\right)$$