Convert rotation to hour angle

Learn how to convert 1 rotation to hour angle step by step.

Calculation Breakdown

Set up the equation
1.0(rotation)=x(hour angle)
Define the base values of the selected units in relation to the SI unit (radian)
Left side: 1.0 (rotation)=2.0×π(radian)=2.0×π(rad)
Right side: 1.0 (hour angle)=π12.0(radian)=π12.0(rad)
Insert known values into the conversion equation to determine x
1.0(rotation)=x(hour angle)
Insert known values =>
1.0×2.0×π×(radian)=x×π12.0×(radian)
Or
1.02.0×π(rad)=xπ12.0(rad)
Cancel SI units
1.0×2.0×π(rad)=x×π12.0×(rad)
Conversion Equation
2.0×π=x×π12.0
Cancel factors on both sides
Cancel factors
π×2.0=x×π12.0
Simplify
2.0=x×1.012.0
Switch sides
x×1.012.0=2.0
Isolate x
Multiply both sides by (12.01.0)
x×1.012.0×12.01.0=2.0×12.01.0
Cancel
x×1.0×12.012.0×1.0=2.0×12.01.0
Simplify
x=2.0×12.0
Solve x
x=24
Conversion Equation
1.0(rotation)=24(hour angle)

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