Convert gallon atmosphere to foot-pound

Learn how to convert 1 gallon atmosphere to foot-pound step by step.

Calculation Breakdown

Set up the equation

1.0 (g a l l o n a t m o s p h e r e) = x (f o o t - p o u n d)

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

(j o u l e)

Left side: 1.0 (g a l l o n a t m o s p h e r e) = 460.63256925 (j o u l e) = 460.63256925 (J)

Right side: 1.0 (f o o t - p o u n d) = 1.3558179483314 (j o u l e) = 1.3558179483314 (J)

Insert known values into the conversion equation to determine

x

1.0 (g a l l o n a t m o s p h e r e) = x (f o o t - p o u n d)

Insert known values =>

1.0 \times 460.63256925 \times (j o u l e) = x \times 1.3558179483314 \times (j o u l e)

Or

1.0 \cdot 460.63256925 \cdot (J) = x \cdot 1.3558179483314 \cdot (J)

Cancel SI units

1.0 \times 460.63256925 \cdot (J) = x \times 1.3558179483314 \times (J)

Conversion Equation

460.63256925 = x \times 1.3558179483314

Switch sides

x \times 1.3558179483314 = 460.63256925

Isolate

x

Multiply both sides by

(\frac{1.0}{1.3558179483314})

x \times 1.3558179483314 \times \frac{1.0}{1.3558179483314} = 460.63256925 \times \frac{1.0}{1.3558179483314}

Cancel

x \times 1.3558179483314 \times \frac{1.0}{1.3558179483314} = 460.63256925 \times \frac{1.0}{1.3558179483314}

Simplify

x = \frac{460.63256925}{1.3558179483314}

Solve

x

x \approx 339.7451478 \approx 3.3975 \times 10^{2}

Conversion Equation

1.0 (g a l l o n a t m o s p h e r e) \approx 3.3975 \times 10^{2} (f o o t - p o u n d)

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