Convert gram / (meter • hour) to gram / (foot • second)

Learn how to convert 1 gram / (meter • hour) to gram / (foot • second) step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{g r a m}{m e t e r \times h o u r}) = x (\frac{g r a m}{f o o t \times s e c o n d})

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

(p a s c a l \times s e c o n d)

Left side: 1.0 (\frac{g r a m}{m e t e r \times h o u r}) = \frac{2.5 \times 10^{- 6}}{9.0} (p a s c a l \times s e c o n d) = \frac{2.5 \times 10^{- 6}}{9.0} (P a \cdot s)

Right side: 1.0 (\frac{g r a m}{f o o t \times s e c o n d}) = 3.28083989501312 \times 10^{- 3} (p a s c a l \times s e c o n d) = 3.28083989501312 \times 10^{- 3} (P a \cdot s)

Insert known values into the conversion equation to determine

x

1.0 (\frac{g r a m}{m e t e r \times h o u r}) = x (\frac{g r a m}{f o o t \times s e c o n d})

Insert known values =>

1.0 \times \frac{2.5 \times 10^{- 6}}{9.0} \times (p a s c a l \times s e c o n d) = x \times 3.28083989501312 \times 10^{- 3} \times (p a s c a l \times s e c o n d)

Or

1.0 \cdot \frac{2.5 \times 10^{- 6}}{9.0} \cdot (P a \cdot s) = x \cdot 3.28083989501312 \times 10^{- 3} \cdot (P a \cdot s)

Cancel SI units

1.0 \times \frac{2.5 \times 10^{- 6}}{9.0} \cdot (P a \cdot s) = x \times 3.28083989501312 \times 10^{- 3} \times (P a \cdot s)

Conversion Equation

\frac{2.5 \times 10^{- 6}}{9.0} = x \times 3.28083989501312 \times 10^{- 3}

Cancel factors on both sides

Cancel factors

\frac{2.5 \times {10^{- 6}}^{10^{- 3}}}{9.0} = x \times 3.28083989501312 \times 10^{- 3}

Simplify

\frac{2.5 \times 10^{- 3}}{9.0} = x \times 3.28083989501312

Switch sides

x \times 3.28083989501312 = \frac{2.5 \times 10^{- 3}}{9.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{3.28083989501312})

x \times 3.28083989501312 \times \frac{1.0}{3.28083989501312} = \frac{2.5 \times 10^{- 3}}{9.0} \times \frac{1.0}{3.28083989501312}

Cancel

x \times 3.28083989501312 \times \frac{1.0}{3.28083989501312} = \frac{2.5 \times 10^{- 3} \times 1.0}{9.0 \times 3.28083989501312}

Simplify

x = \frac{2.5 \times 10^{- 3}}{9.0 \times 3.28083989501312}

Solve

x

x \approx 0.0000846667 \approx 8.4667 \times 10^{- 5}

Conversion Equation

1.0 (\frac{g r a m}{m e t e r \times h o u r}) \approx 8.4667 \times 10^{- 5} (\frac{g r a m}{f o o t \times s e c o n d})

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