Convert degree / square hour to revolution / square minute

Learn how to convert 1 degree / square hour to revolution / square minute step by step.

Calculation Breakdown

Set up the equation

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

Left side: 1.0 (\frac{d e g r e e}{s q u a r e h o u r}) = \frac{π}{2.3328 \times 10^{9}} (\frac{r a d i a n}{s q u a r e s e c o n d}) = \frac{π}{2.3328 \times 10^{9}} (\frac{r a d}{s^{2}})

Right side: 1.0 (\frac{r e v o l u t i o n}{s q u a r e m i n u t e}) = \frac{π}{1.8 \times 10^{3}} (\frac{r a d i a n}{s q u a r e s e c o n d}) = \frac{π}{1.8 \times 10^{3}} (\frac{r a d}{s^{2}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{π}{2.3328 \times 10^{9}} \times (\frac{r a d i a n}{s q u a r e s e c o n d}) = x \times \frac{π}{1.8 \times 10^{3}} \times (\frac{r a d i a n}{s q u a r e s e c o n d})

Or

1.0 \cdot \frac{π}{2.3328 \times 10^{9}} \cdot (\frac{r a d}{s^{2}}) = x \cdot \frac{π}{1.8 \times 10^{3}} \cdot (\frac{r a d}{s^{2}})

Cancel SI units

1.0 \times \frac{π}{2.3328 \times 10^{9}} \cdot (\frac{r a d}{s^{2}}) = x \times \frac{π}{1.8 \times 10^{3}} \times (\frac{r a d}{s^{2}})

Conversion Equation

\frac{π}{2.3328 \times 10^{9}} = x \times \frac{π}{1.8 \times 10^{3}}

Cancel factors on both sides

Cancel factors

\frac{π}{2.3328 \times {10^{9}}^{10^{6}}} = x \times \frac{π}{1.8 \times 10^{3}}

Simplify

\frac{1.0}{2.3328 \times 10^{6}} = x \times \frac{1.0}{1.8}

Switch sides

x \times \frac{1.0}{1.8} = \frac{1.0}{2.3328 \times 10^{6}}

Isolate

x

Multiply both sides by

(\frac{1.8}{1.0})

x \times \frac{1.0}{1.8} \times \frac{1.8}{1.0} = \frac{1.0}{2.3328 \times 10^{6}} \times \frac{1.8}{1.0}

Cancel

x \times \frac{1.0 \times 1.8}{1.8 \times 1.0} = \frac{1.0 \times 1.8}{2.3328 \times 10^{6} \times 1.0}

Simplify

x = \frac{1.8}{2.3328 \times 10^{6}}

Rewrite equation

\frac{1.0}{10^{6}} can be rewritten to 10^{- 6}

Rewrite

x = \frac{10^{- 6} \times 1.8}{2.3328}

Solve

x

x \approx 0.0000007716 \approx 7.716 \times 10^{- 7}

Conversion Equation

1.0 (\frac{d e g r e e}{s q u a r e h o u r}) \approx 7.716 \times 10^{- 7} (\frac{r e v o l u t i o n}{s q u a r e m i n u t e})

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