Convert mile / second to furlong / second
Learn how to convert
1
mile / second to
furlong / second
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{mile}{second}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{furlong}{second}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{meter}{second}\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{mile}{second}\right) = {\color{rgb(89,182,91)} 1609.344\left(\dfrac{meter}{second}\right)} = {\color{rgb(89,182,91)} 1609.344\left(\dfrac{m}{s}\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{furlong}{second}\right) = {\color{rgb(125,164,120)} 201.168\left(\dfrac{meter}{second}\right)} = {\color{rgb(125,164,120)} 201.168\left(\dfrac{m}{s}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{mile}{second}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{furlong}{second}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1609.344} \times {\color{rgb(89,182,91)} \left(\dfrac{meter}{second}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 201.168}} \times {\color{rgb(125,164,120)} \left(\dfrac{meter}{second}\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1609.344} \cdot {\color{rgb(89,182,91)} \left(\dfrac{m}{s}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 201.168} \cdot {\color{rgb(125,164,120)} \left(\dfrac{m}{s}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1609.344} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{m}{s}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 201.168} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{m}{s}\right)}}\)
\(\text{Conversion Equation}\)
\(1609.344 = {\color{rgb(20,165,174)} x} \times 201.168\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 201.168 = 1609.344\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{201.168}\right)\)
\({\color{rgb(20,165,174)} x} \times 201.168 \times \dfrac{1.0}{201.168} = 1609.344 \times \dfrac{1.0}{201.168}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{201.168}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{201.168}}} = 1609.344 \times \dfrac{1.0}{201.168}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1609.344}{201.168}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 8\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{mile}{second}\right) = {\color{rgb(20,165,174)} 8}\left(\dfrac{furlong}{second}\right)\)
