Convert inch / second to yard / second

Learn how to convert 1 inch / second to yard / second step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{i n c h}{s e c o n d}) = x (\frac{y a r d}{s e c o n d})

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{i n c h}{s e c o n d}) = 2.54 \times 10^{- 2} (\frac{m e t e r}{s e c o n d}) = 2.54 \times 10^{- 2} (\frac{m}{s})

Right 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})

Insert known values into the conversion equation to determine

x

1.0 (\frac{i n c h}{s e c o n d}) = x (\frac{y a r d}{s e c o n d})

Insert known values =>

1.0 \times 2.54 \times 10^{- 2} \times (\frac{m e t e r}{s e c o n d}) = x \times 0.9144 \times (\frac{m e t e r}{s e c o n d})

Or

1.0 \cdot 2.54 \times 10^{- 2} \cdot (\frac{m}{s}) = x \cdot 0.9144 \cdot (\frac{m}{s})

Cancel SI units

1.0 \times 2.54 \times 10^{- 2} \cdot (\frac{m}{s}) = x \times 0.9144 \times (\frac{m}{s})

Conversion Equation

2.54 \times 10^{- 2} = x \times 0.9144

Switch sides

x \times 0.9144 = 2.54 \times 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{1.0}{0.9144})

x \times 0.9144 \times \frac{1.0}{0.9144} = 2.54 \times 10^{- 2} \times \frac{1.0}{0.9144}

Cancel

x \times 0.9144 \times \frac{1.0}{0.9144} = 2.54 \times 10^{- 2} \times \frac{1.0}{0.9144}

Simplify

x = \frac{2.54 \times 10^{- 2}}{0.9144}

Solve

x

x \approx 0.0277777778 \approx 2.7778 \times 10^{- 2}

Conversion Equation

1.0 (\frac{i n c h}{s e c o n d}) \approx 2.7778 \times 10^{- 2} (\frac{y a r d}{s e c o n d})

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