Convert cycle / second to cycle / minute

Learn how to convert 1 cycle / second to cycle / minute step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{c y c l e}{s e c o n d}) = x (\frac{c y c l e}{m i n u t e})

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{c y c l e}{s e c o n d}) = 2.0 \times π (\frac{r a d i a n}{s e c o n d}) = 2.0 \times π (\frac{r a d}{s})

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

Insert known values into the conversion equation to determine

x

1.0 (\frac{c y c l e}{s e c o n d}) = x (\frac{c y c l e}{m i n u t e})

Insert known values =>

1.0 \times 2.0 \times π \times (\frac{r a d i a n}{s e c o n d}) = x \times \frac{π}{30.0} \times (\frac{r a d i a n}{s e c o n d})

Or

1.0 \cdot 2.0 \times π \cdot (\frac{r a d}{s}) = x \cdot \frac{π}{30.0} \cdot (\frac{r a d}{s})

Cancel SI units

1.0 \times 2.0 \times π \cdot (\frac{r a d}{s}) = x \times \frac{π}{30.0} \times (\frac{r a d}{s})

Conversion Equation

2.0 \times π = x \times \frac{π}{30.0}

Cancel factors on both sides

Cancel factors

π \times 2.0 = x \times \frac{π}{30.0}

Simplify

2.0 = x \times \frac{1.0}{30.0}

Switch sides

x \times \frac{1.0}{30.0} = 2.0

Isolate

x

Multiply both sides by

(\frac{30.0}{1.0})

x \times \frac{1.0}{30.0} \times \frac{30.0}{1.0} = 2.0 \times \frac{30.0}{1.0}

Cancel

x \times \frac{1.0 \times 30.0}{30.0 \times 1.0} = 2.0 \times \frac{30.0}{1.0}

Simplify

x = 2.0 \times 30.0

Solve

x

x = 60

Conversion Equation

1.0 (\frac{c y c l e}{s e c o n d}) = 60 (\frac{c y c l e}{m i n u t e})

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