# Convert mile / square hour to knot / second

Learn how to convert 1 mile / square hour to knot / second step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(\dfrac{mile}{square \text{ } hour}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{knot}{second}\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(\dfrac{meter}{square \text{ } second}\right)$$
$$\text{Left side: 1.0 } \left(\dfrac{mile}{square \text{ } hour}\right) = {\color{rgb(89,182,91)} \dfrac{1609.344}{1.296 \times 10^{7}}\left(\dfrac{meter}{square \text{ } second}\right)} = {\color{rgb(89,182,91)} \dfrac{1609.344}{1.296 \times 10^{7}}\left(\dfrac{m}{s^{2}}\right)}$$
$$\text{Right side: 1.0 } \left(\dfrac{knot}{second}\right) = {\color{rgb(125,164,120)} \dfrac{50.93}{99.0}\left(\dfrac{meter}{square \text{ } second}\right)} = {\color{rgb(125,164,120)} \dfrac{50.93}{99.0}\left(\dfrac{m}{s^{2}}\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(\dfrac{mile}{square \text{ } hour}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{knot}{second}\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{1609.344}{1.296 \times 10^{7}}} \times {\color{rgb(89,182,91)} \left(\dfrac{meter}{square \text{ } second}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{50.93}{99.0}}} \times {\color{rgb(125,164,120)} \left(\dfrac{meter}{square \text{ } second}\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} \dfrac{1609.344}{1.296 \times 10^{7}}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{m}{s^{2}}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{50.93}{99.0}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{m}{s^{2}}\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{1609.344}{1.296 \times 10^{7}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{m}{s^{2}}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{50.93}{99.0}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{m}{s^{2}}\right)}}$$
$$\text{Conversion Equation}$$
$$\dfrac{1609.344}{1.296 \times 10^{7}} = {\color{rgb(20,165,174)} x} \times \dfrac{50.93}{99.0}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times \dfrac{50.93}{99.0} = \dfrac{1609.344}{1.296 \times 10^{7}}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{99.0}{50.93}\right)$$
$${\color{rgb(20,165,174)} x} \times \dfrac{50.93}{99.0} \times \dfrac{99.0}{50.93} = \dfrac{1609.344}{1.296 \times 10^{7}} \times \dfrac{99.0}{50.93}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{50.93}} \times {\color{rgb(99,194,222)} \cancel{99.0}}}{{\color{rgb(99,194,222)} \cancel{99.0}} \times {\color{rgb(255,204,153)} \cancel{50.93}}} = \dfrac{1609.344 \times 99.0}{1.296 \times 10^{7} \times 50.93}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{1609.344 \times 99.0}{1.296 \times 10^{7} \times 50.93}$$
Rewrite equation
$$\dfrac{1.0}{10^{7}}\text{ can be rewritten to }10^{-7}$$
$$\text{Rewrite}$$
$${\color{rgb(20,165,174)} x} = \dfrac{10^{-7} \times 1609.344 \times 99.0}{1.296 \times 50.93}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx0.0002413823\approx2.4138 \times 10^{-4}$$
$$\text{Conversion Equation}$$
$$1.0\left(\dfrac{mile}{square \text{ } hour}\right)\approx{\color{rgb(20,165,174)} 2.4138 \times 10^{-4}}\left(\dfrac{knot}{second}\right)$$