Convert inch / (hour • second) to mile / (hour • second)

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

Calculation Breakdown

Set up the equation
1.0(inchhour×second)=x(milehour×second)
Define the base values of the selected units in relation to the SI unit (metersquare second)
Left side: 1.0 (inchhour×second)=2.54×1023.6×103(metersquare second)=2.54×1023.6×103(ms2)
Right side: 1.0 (milehour×second)=1609.3443.6×103(metersquare second)=1609.3443.6×103(ms2)
Insert known values into the conversion equation to determine x
1.0(inchhour×second)=x(milehour×second)
Insert known values =>
1.0×2.54×1023.6×103×(metersquare second)=x×1609.3443.6×103×(metersquare second)
Or
1.02.54×1023.6×103(ms2)=x1609.3443.6×103(ms2)
Cancel SI units
1.0×2.54×1023.6×103(ms2)=x×1609.3443.6×103×(ms2)
Conversion Equation
2.54×1023.6×103=x×1609.3443.6×103
Cancel factors on both sides
Cancel factors
2.54×1023.6×103=x×1609.3443.6×103
Simplify
2.54×102=x×1609.344
Switch sides
x×1609.344=2.54×102
Isolate x
Multiply both sides by (1.01609.344)
x×1609.344×1.01609.344=2.54×102×1.01609.344
Cancel
x×1609.344×1.01609.344=2.54×102×1.01609.344
Simplify
x=2.54×1021609.344
Solve x
x0.00001578281.5783×105
Conversion Equation
1.0(inchhour×second)1.5783×105(milehour×second)

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