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

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

Calculation Breakdown

Set up the equation

1.0 (\frac{r a d i a n}{m i n u t e \times s e c o n d}) = x (\frac{r e v o l u t i o n}{s q u a r e 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 a d i a n}{m i n u t e \times s e c o n d}) = \frac{1.0}{60.0} (\frac{r a d i a n}{s q u a r e s e c o n d}) = \frac{1.0}{60.0} (\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 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}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{1.0}{60.0} \times (\frac{r a d i a n}{s q u a r e s e c o n d}) = x \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})

Or

1.0 \cdot \frac{1.0}{60.0} \cdot (\frac{r a d}{s^{2}}) = x \cdot 2.0 \times π \cdot (\frac{r a d}{s^{2}})

Cancel SI units

1.0 \times \frac{1.0}{60.0} \cdot (\frac{r a d}{s^{2}}) = x \times 2.0 \times π \times (\frac{r a d}{s^{2}})

Conversion Equation

\frac{1.0}{60.0} = x \times 2.0 \times π

Switch sides

x \times π \times 2.0 = \frac{1.0}{60.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{π \times 2.0})

x \times π \times 2.0 \times \frac{1.0}{π \times 2.0} = \frac{1.0}{60.0} \times \frac{1.0}{π \times 2.0}

Cancel

x \times π \times 2.0 \times \frac{1.0}{π \times 2.0} = \frac{1.0 \times 1.0}{60.0 \times π \times 2.0}

Simplify

x = \frac{1.0}{60.0 \times π \times 2.0}

Solve

x

x \approx 0.0026525824 \approx 2.6526 \times 10^{- 3}

Conversion Equation

1.0 (\frac{r a d i a n}{m i n u t e \times s e c o n d}) \approx 2.6526 \times 10^{- 3} (\frac{r e v o l u t i o n}{s q u a r e s e c o n d})

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