Convert meter / hour to furlong / second

Learn how to convert 1 meter / hour to furlong / second step by step.

Calculation Breakdown

Set up the equation
\(1.0\left(\dfrac{meter}{hour}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{furlong}{second}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{meter}{second}\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{meter}{hour}\right) = {\color{rgb(89,182,91)} \dfrac{1.0}{3.6 \times 10^{3}}\left(\dfrac{meter}{second}\right)} = {\color{rgb(89,182,91)} \dfrac{1.0}{3.6 \times 10^{3}}\left(\dfrac{m}{s}\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{furlong}{second}\right) = {\color{rgb(125,164,120)} 201.168\left(\dfrac{meter}{second}\right)} = {\color{rgb(125,164,120)} 201.168\left(\dfrac{m}{s}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{meter}{hour}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{furlong}{second}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{3.6 \times 10^{3}}} \times {\color{rgb(89,182,91)} \left(\dfrac{meter}{second}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 201.168}} \times {\color{rgb(125,164,120)} \left(\dfrac{meter}{second}\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{1.0}{3.6 \times 10^{3}}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{m}{s}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 201.168} \cdot {\color{rgb(125,164,120)} \left(\dfrac{m}{s}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{3.6 \times 10^{3}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{m}{s}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 201.168} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{m}{s}\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{1.0}{3.6 \times 10^{3}} = {\color{rgb(20,165,174)} x} \times 201.168\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 201.168 = \dfrac{1.0}{3.6 \times 10^{3}}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{201.168}\right)\)
\({\color{rgb(20,165,174)} x} \times 201.168 \times \dfrac{1.0}{201.168} = \dfrac{1.0}{3.6 \times 10^{3}} \times \dfrac{1.0}{201.168}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{201.168}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{201.168}}} = \dfrac{1.0 \times 1.0}{3.6 \times 10^{3} \times 201.168}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.0}{3.6 \times 10^{3} \times 201.168}\)
Rewrite equation
\(\dfrac{1.0}{10^{3}}\text{ can be rewritten to }10^{-3}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{-3}}{3.6 \times 201.168}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0000013808\approx1.3808 \times 10^{-6}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{meter}{hour}\right)\approx{\color{rgb(20,165,174)} 1.3808 \times 10^{-6}}\left(\dfrac{furlong}{second}\right)\)

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