Convert revolution / square second to degree / (minute • second)

Learn how to convert 1 revolution / square second to degree / (minute • second) step by step.

Calculation Breakdown

Set up the equation

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

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{r e v o l u t i o n}{s q u a r e s e c o n d}) = 2.0 \times π (\frac{r a d i a n}{s q u a r e s e c o n d}) = 2.0 \times π (\frac{r a d}{s^{2}})

Right side: 1.0 (\frac{d e g r e e}{m i n u t e \times s e c o n d}) = \frac{π}{1.08 \times 10^{4}} (\frac{r a d i a n}{s q u a r e s e c o n d}) = \frac{π}{1.08 \times 10^{4}} (\frac{r a d}{s^{2}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 2.0 \times π \times (\frac{r a d i a n}{s q u a r e s e c o n d}) = x \times \frac{π}{1.08 \times 10^{4}} \times (\frac{r a d i a n}{s q u a r e s e c o n d})

Or

1.0 \cdot 2.0 \times π \cdot (\frac{r a d}{s^{2}}) = x \cdot \frac{π}{1.08 \times 10^{4}} \cdot (\frac{r a d}{s^{2}})

Cancel SI units

1.0 \times 2.0 \times π \cdot (\frac{r a d}{s^{2}}) = x \times \frac{π}{1.08 \times 10^{4}} \times (\frac{r a d}{s^{2}})

Conversion Equation

2.0 \times π = x \times \frac{π}{1.08 \times 10^{4}}

Cancel factors on both sides

Cancel factors

π \times 2.0 = x \times \frac{π}{1.08 \times 10^{4}}

Simplify

2.0 = x \times \frac{1.0}{1.08 \times 10^{4}}

Switch sides

x \times \frac{1.0}{1.08 \times 10^{4}} = 2.0

Isolate

x

Multiply both sides by

(\frac{1.08 \times 10^{4}}{1.0})

x \times \frac{1.0}{1.08 \times 10^{4}} \times \frac{1.08 \times 10^{4}}{1.0} = 2.0 \times \frac{1.08 \times 10^{4}}{1.0}

Cancel

x \times \frac{1.0 \times 1.08 \times 10^{4}}{1.08 \times 10^{4} \times 1.0} = 2.0 \times \frac{1.08 \times 10^{4}}{1.0}

Simplify

x = 2.0 \times 1.08 \times 10^{4}

Solve

x

x = 21600 = 2.16 \times 10^{4}

Conversion Equation

1.0 (\frac{r e v o l u t i o n}{s q u a r e s e c o n d}) = 2.16 \times 10^{4} (\frac{d e g r e e}{m i n u t e \times s e c o n d})

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