Convert degree / (hour • second) to cycle / square hour

Learn how to convert 1 degree / (hour • second) to cycle / square hour step by step.

Calculation Breakdown

Set up the equation

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

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}{h o u r \times s e c o n d}) = \frac{π}{7.2 \times 10^{4}} (\frac{r a d i a n}{s q u a r e s e c o n d}) = \frac{π}{7.2 \times 10^{4}} (\frac{r a d}{s^{2}})

Right side: 1.0 (\frac{c y c l e}{s q u a r e h o u r}) = \frac{π}{6.48 \times 10^{6}} (\frac{r a d i a n}{s q u a r e s e c o n d}) = \frac{π}{6.48 \times 10^{6}} (\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}{h o u r \times s e c o n d}) = x (\frac{c y c l e}{s q u a r e h o u r})

Insert known values =>

1.0 \times \frac{π}{7.2 \times 10^{4}} \times (\frac{r a d i a n}{s q u a r e s e c o n d}) = x \times \frac{π}{6.48 \times 10^{6}} \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}{7.2 \times 10^{4}} \cdot (\frac{r a d}{s^{2}}) = x \cdot \frac{π}{6.48 \times 10^{6}} \cdot (\frac{r a d}{s^{2}})

Cancel SI units

1.0 \times \frac{π}{7.2 \times 10^{4}} \cdot (\frac{r a d}{s^{2}}) = x \times \frac{π}{6.48 \times 10^{6}} \times (\frac{r a d}{s^{2}})

Conversion Equation

\frac{π}{7.2 \times 10^{4}} = x \times \frac{π}{6.48 \times 10^{6}}

Cancel factors on both sides

Cancel factors

\frac{π}{7.2 \times 10^{4}} = x \times \frac{π}{6.48 \times {10^{6}}^{10^{2}}}

Simplify

\frac{1.0}{7.2} = x \times \frac{1.0}{6.48 \times 10^{2}}

Switch sides

x \times \frac{1.0}{6.48 \times 10^{2}} = \frac{1.0}{7.2}

Isolate

x

Multiply both sides by

(\frac{6.48 \times 10^{2}}{1.0})

x \times \frac{1.0}{6.48 \times 10^{2}} \times \frac{6.48 \times 10^{2}}{1.0} = \frac{1.0}{7.2} \times \frac{6.48 \times 10^{2}}{1.0}

Cancel

x \times \frac{1.0 \times 6.48 \times 10^{2}}{6.48 \times 10^{2} \times 1.0} = \frac{1.0 \times 6.48 \times 10^{2}}{7.2 \times 1.0}

Simplify

x = \frac{6.48 \times 10^{2}}{7.2}

Solve

x

x = 90

Conversion Equation

1.0 (\frac{d e g r e e}{h o u r \times s e c o n d}) = 90 (\frac{c y c l e}{s q u a r e h o u r})

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