Convert yard / second to furlong / hour

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

Calculation Breakdown

Set up the equation

1.0 (\frac{y a r d}{s e c o n d}) = x (\frac{f u r l o n g}{h o u r})

Define the base values of the selected units in relation to the SI unit

(\frac{m e t e r}{s e c o n d})

Left side: 1.0 (\frac{y a r d}{s e c o n d}) = 0.9144 (\frac{m e t e r}{s e c o n d}) = 0.9144 (\frac{m}{s})

Right side: 1.0 (\frac{f u r l o n g}{h o u r}) = \frac{201.168}{3.6 \times 10^{3}} (\frac{m e t e r}{s e c o n d}) = \frac{201.168}{3.6 \times 10^{3}} (\frac{m}{s})

Insert known values into the conversion equation to determine

x

1.0 (\frac{y a r d}{s e c o n d}) = x (\frac{f u r l o n g}{h o u r})

Insert known values =>

1.0 \times 0.9144 \times (\frac{m e t e r}{s e c o n d}) = x \times \frac{201.168}{3.6 \times 10^{3}} \times (\frac{m e t e r}{s e c o n d})

Or

1.0 \cdot 0.9144 \cdot (\frac{m}{s}) = x \cdot \frac{201.168}{3.6 \times 10^{3}} \cdot (\frac{m}{s})

Cancel SI units

1.0 \times 0.9144 \cdot (\frac{m}{s}) = x \times \frac{201.168}{3.6 \times 10^{3}} \times (\frac{m}{s})

Conversion Equation

0.9144 = x \times \frac{201.168}{3.6 \times 10^{3}}

Switch sides

x \times \frac{201.168}{3.6 \times 10^{3}} = 0.9144

Isolate

x

Multiply both sides by

(\frac{3.6 \times 10^{3}}{201.168})

x \times \frac{201.168}{3.6 \times 10^{3}} \times \frac{3.6 \times 10^{3}}{201.168} = 0.9144 \times \frac{3.6 \times 10^{3}}{201.168}

Cancel

x \times \frac{201.168 \times 3.6 \times 10^{3}}{3.6 \times 10^{3} \times 201.168} = 0.9144 \times \frac{3.6 \times 10^{3}}{201.168}

Simplify

x = \frac{0.9144 \times 3.6 \times 10^{3}}{201.168}

Solve

x

x \approx 16.363636364 \approx 16.3636

Conversion Equation

1.0 (\frac{y a r d}{s e c o n d}) \approx 16.3636 (\frac{f u r l o n g}{h o u r})

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