Convert mile / (hour • second) to meter / square second

Learn how to convert 1 mile / (hour • second) to meter / square second step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{m i l e}{h o u r \times s e c o n d}) = x (\frac{m e t e r}{s q u a r e 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 q u a r e s e c o n d})

Left side: 1.0 (\frac{m i l e}{h o u r \times s e c o n d}) = \frac{1609.344}{3.6 \times 10^{3}} (\frac{m e t e r}{s q u a r e s e c o n d}) = \frac{1609.344}{3.6 \times 10^{3}} (\frac{m}{s^{2}})

Right side: 1.0 (\frac{m e t e r}{s q u a r e s e c o n d}) = 1.0 (\frac{m e t e r}{s q u a r e s e c o n d}) = 1.0 (\frac{m}{s^{2}})

Insert known values into the conversion equation to determine

x

1.0 (\frac{m i l e}{h o u r \times s e c o n d}) = x (\frac{m e t e r}{s q u a r e s e c o n d})

Insert known values =>

1.0 \times \frac{1609.344}{3.6 \times 10^{3}} \times (\frac{m e t e r}{s q u a r e s e c o n d}) = x \times 1.0 \times (\frac{m e t e r}{s q u a r e s e c o n d})

Or

1.0 \cdot \frac{1609.344}{3.6 \times 10^{3}} \cdot (\frac{m}{s^{2}}) = x \cdot 1.0 \cdot (\frac{m}{s^{2}})

Cancel SI units

1.0 \times \frac{1609.344}{3.6 \times 10^{3}} \cdot (\frac{m}{s^{2}}) = x \times 1.0 \times (\frac{m}{s^{2}})

Conversion Equation

\frac{1609.344}{3.6 \times 10^{3}} = x \times 1.0

Simplify

\frac{1609.344}{3.6 \times 10^{3}} = x

Switch sides

x = \frac{1609.344}{3.6 \times 10^{3}}

Rewrite equation

\frac{1.0}{10^{3}} can be rewritten to 10^{- 3}

Rewrite

x = \frac{10^{- 3} \times 1609.344}{3.6}

Solve

x

x = 0.44704 = 4.4704 \times 10^{- 1}

Conversion Equation

1.0 (\frac{m i l e}{h o u r \times s e c o n d}) = 4.4704 \times 10^{- 1} (\frac{m e t e r}{s q u a r e s e c o n d})

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