Convert inch / second to foot / second

Learn how to convert 1 inch / second to foot / 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{f o o t}{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{f o o t}{s e c o n d}) = 3.048 \times 10^{- 1} (\frac{m e t e r}{s e c o n d}) = 3.048 \times 10^{- 1} (\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{f o o t}{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 3.048 \times 10^{- 1} \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 3.048 \times 10^{- 1} \cdot (\frac{m}{s})

Cancel SI units

1.0 \times 2.54 \times 10^{- 2} \cdot (\frac{m}{s}) = x \times 3.048 \times 10^{- 1} \times (\frac{m}{s})

Conversion Equation

2.54 \times 10^{- 2} = x \times 3.048 \times 10^{- 1}

Cancel factors on both sides

Cancel factors

2.54 \times {10^{- 2}}^{10^{- 1}} = x \times 3.048 \times 10^{- 1}

Simplify

2.54 \times 10^{- 1} = x \times 3.048

Switch sides

x \times 3.048 = 2.54 \times 10^{- 1}

Isolate

x

Multiply both sides by

(\frac{1.0}{3.048})

x \times 3.048 \times \frac{1.0}{3.048} = 2.54 \times 10^{- 1} \times \frac{1.0}{3.048}

Cancel

x \times 3.048 \times \frac{1.0}{3.048} = 2.54 \times 10^{- 1} \times \frac{1.0}{3.048}

Simplify

x = \frac{2.54 \times 10^{- 1}}{3.048}

Solve

x

x \approx 0.0833333333 \approx 8.3333 \times 10^{- 2}

Conversion Equation

1.0 (\frac{i n c h}{s e c o n d}) \approx 8.3333 \times 10^{- 2} (\frac{f o o t}{s e c o n d})

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