Convert radian / minute to degree / second

Learn how to convert 1 radian / minute to degree / 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}) = x (\frac{d e g r e 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 e c o n d})

Left side: 1.0 (\frac{r a d i a n}{m i n u t e}) = \frac{1.0}{60.0} (\frac{r a d i a n}{s e c o n d}) = \frac{1.0}{60.0} (\frac{r a d}{s})

Right side: 1.0 (\frac{d e g r e e}{s e c o n d}) = \frac{π}{180.0} (\frac{r a d i a n}{s e c o n d}) = \frac{π}{180.0} (\frac{r a d}{s})

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}) = x (\frac{d e g r e 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 e c o n d}) = x \times \frac{π}{180.0} \times (\frac{r a d i a n}{s e c o n d})

Or

1.0 \cdot \frac{1.0}{60.0} \cdot (\frac{r a d}{s}) = x \cdot \frac{π}{180.0} \cdot (\frac{r a d}{s})

Cancel SI units

1.0 \times \frac{1.0}{60.0} \cdot (\frac{r a d}{s}) = x \times \frac{π}{180.0} \times (\frac{r a d}{s})

Conversion Equation

\frac{1.0}{60.0} = x \times \frac{π}{180.0}

Switch sides

x \times \frac{π}{180.0} = \frac{1.0}{60.0}

Isolate

x

Multiply both sides by

(\frac{180.0}{π})

x \times \frac{π}{180.0} \times \frac{180.0}{π} = \frac{1.0}{60.0} \times \frac{180.0}{π}

Cancel

x \times \frac{π \times 180.0}{180.0 \times π} = \frac{1.0 \times 180.0}{60.0 \times π}

Simplify

x = \frac{180.0}{60.0 \times π}

Solve

x

x \approx 0.9549296586 \approx 9.5493 \times 10^{- 1}

Conversion Equation

1.0 (\frac{r a d i a n}{m i n u t e}) \approx 9.5493 \times 10^{- 1} (\frac{d e g r e e}{s e c o n d})

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