Convert cycle / second to radian / hour

Learn how to convert 1 cycle / second to radian / hour 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{r a d i a n}{h o u r})

Define the base values of the selected units in relation to the SI unit

(h e r t z)

Left side: 1.0 (\frac{c y c l e}{s e c o n d}) = 1.0 (h e r t z) = 1.0 (H z)

Right side: 1.0 (\frac{r a d i a n}{h o u r}) = \frac{0.159155}{3.6 \times 10^{3}} (h e r t z) = \frac{0.159155}{3.6 \times 10^{3}} (H z)

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{r a d i a n}{h o u r})

Insert known values =>

1.0 \times 1.0 \times (h e r t z) = x \times \frac{0.159155}{3.6 \times 10^{3}} \times (h e r t z)

Or

1.0 \cdot 1.0 \cdot (H z) = x \cdot \frac{0.159155}{3.6 \times 10^{3}} \cdot (H z)

Cancel SI units

1.0 \times 1.0 \cdot (H z) = x \times \frac{0.159155}{3.6 \times 10^{3}} \times (H z)

Conversion Equation

1.0 = x \times \frac{0.159155}{3.6 \times 10^{3}}

Simplify

1.0 = x \times \frac{0.159155}{3.6 \times 10^{3}}

Switch sides

x \times \frac{0.159155}{3.6 \times 10^{3}} = 1.0

Isolate

x

Multiply both sides by

(\frac{3.6 \times 10^{3}}{0.159155})

x \times \frac{0.159155}{3.6 \times 10^{3}} \times \frac{3.6 \times 10^{3}}{0.159155} = 1.0 \times \frac{3.6 \times 10^{3}}{0.159155}

Cancel

x \times \frac{0.159155 \times 3.6 \times 10^{3}}{3.6 \times 10^{3} \times 0.159155} = 1.0 \times \frac{3.6 \times 10^{3}}{0.159155}

Simplify

x = \frac{3.6 \times 10^{3}}{0.159155}

Solve

x

x \approx 22619.459018 \approx 2.2619 \times 10^{4}

Conversion Equation

1.0 (\frac{c y c l e}{s e c o n d}) \approx 2.2619 \times 10^{4} (\frac{r a d i a n}{h o u r})

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