Convert revolution / (hour • second) to revolution / (minute • second)

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

Calculation Breakdown

Set up the equation

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

Right side: 1.0 (\frac{r e v o l u t i o n}{m i n u t e \times s e c o n d}) = \frac{π}{30.0} (\frac{r a d i a n}{s q u a r e s e c o n d}) = \frac{π}{30.0} (\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}{h o u r \times s e c o n d}) = x (\frac{r e v o l u t i o n}{m i n u t e \times s e c o n d})

Insert known values =>

1.0 \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}) = x \times \frac{π}{30.0} \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}{1.8 \times 10^{3}} \cdot (\frac{r a d}{s^{2}}) = x \cdot \frac{π}{30.0} \cdot (\frac{r a d}{s^{2}})

Cancel SI units

1.0 \times \frac{π}{1.8 \times 10^{3}} \cdot (\frac{r a d}{s^{2}}) = x \times \frac{π}{30.0} \times (\frac{r a d}{s^{2}})

Conversion Equation

\frac{π}{1.8 \times 10^{3}} = x \times \frac{π}{30.0}

Cancel factors on both sides

Cancel factors

\frac{π}{1.8 \times 10^{3}} = x \times \frac{π}{30.0}

Switch sides

x \times \frac{1.0}{30.0} = \frac{1.0}{1.8 \times 10^{3}}

Isolate

x

Multiply both sides by

(\frac{30.0}{1.0})

x \times \frac{1.0}{30.0} \times \frac{30.0}{1.0} = \frac{1.0}{1.8 \times 10^{3}} \times \frac{30.0}{1.0}

Cancel

x \times \frac{1.0 \times 30.0}{30.0 \times 1.0} = \frac{1.0 \times 30.0}{1.8 \times 10^{3} \times 1.0}

Simplify

x = \frac{30.0}{1.8 \times 10^{3}}

Rewrite equation

\frac{1.0}{10^{3}} can be rewritten to 10^{- 3}

Rewrite

x = \frac{10^{- 3} \times 30.0}{1.8}

Solve

x

x \approx 0.0166666667 \approx 1.6667 \times 10^{- 2}

Conversion Equation

1.0 (\frac{r e v o l u t i o n}{h o u r \times s e c o n d}) \approx 1.6667 \times 10^{- 2} (\frac{r e v o l u t i o n}{m i n u t e \times s e c o n d})

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