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

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

Calculation Breakdown

Set up the equation

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

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}{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)

Right 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)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

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

Or

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

Cancel SI units

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

Conversion Equation

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

Cancel factors on both sides

Cancel factors

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

Simplify

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

Switch sides

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

Isolate

x

Multiply both sides by

(\frac{9.0}{2.5 \times 10^{- 3}})

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

Cancel

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

Simplify

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

Rewrite equation

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

Rewrite

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

Solve

x

x \approx 11811.023622 \approx 1.1811 \times 10^{4}

Conversion Equation

1.0 (\frac{g r a m}{f o o t \times s e c o n d}) \approx 1.1811 \times 10^{4} (\frac{g r a m}{m e t e r \times h o u r})

View All Examples