Convert meter / square second to mile / square minute

Learn how to convert 1 meter / square second to mile / square minute step by step.

Calculation Breakdown

Set up the equation

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

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 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}})

Right side: 1.0 (\frac{m i l e}{s q u a r e m i n u t e}) = \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}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

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

Or

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

Cancel SI units

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

Conversion Equation

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

Simplify

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

Switch sides

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

Isolate

x

Multiply both sides by

(\frac{3.6 \times 10^{3}}{1609.344})

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

Cancel

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

Simplify

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

Solve

x

x \approx 2.2369362921 \approx 2.2369

Conversion Equation

1.0 (\frac{m e t e r}{s q u a r e s e c o n d}) \approx 2.2369 (\frac{m i l e}{s q u a r e m i n u t e})

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