# Convert gram-force • foot to poundal • foot

Learn how to convert 1 gram-force • foot to poundal • foot step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(gram-force \times foot\right)={\color{rgb(20,165,174)} x}\left(poundal \times foot\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(newton \times meter\right)$$
$$\text{Left side: 1.0 } \left(gram-force \times foot\right) = {\color{rgb(89,182,91)} 2.98906692 \times 10^{-3}\left(newton \times meter\right)} = {\color{rgb(89,182,91)} 2.98906692 \times 10^{-3}\left(N \cdot m\right)}$$
$$\text{Right side: 1.0 } \left(poundal \times foot\right) = {\color{rgb(125,164,120)} 4.21401100938048 \times 10^{-2}\left(newton \times meter\right)} = {\color{rgb(125,164,120)} 4.21401100938048 \times 10^{-2}\left(N \cdot m\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(gram-force \times foot\right)={\color{rgb(20,165,174)} x}\left(poundal \times foot\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 2.98906692 \times 10^{-3}} \times {\color{rgb(89,182,91)} \left(newton \times meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 4.21401100938048 \times 10^{-2}}} \times {\color{rgb(125,164,120)} \left(newton \times meter\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 2.98906692 \times 10^{-3}} \cdot {\color{rgb(89,182,91)} \left(N \cdot m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 4.21401100938048 \times 10^{-2}} \cdot {\color{rgb(125,164,120)} \left(N \cdot m\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 2.98906692 \times 10^{-3}} \cdot {\color{rgb(89,182,91)} \cancel{\left(N \cdot m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 4.21401100938048 \times 10^{-2}} \times {\color{rgb(125,164,120)} \cancel{\left(N \cdot m\right)}}$$
$$\text{Conversion Equation}$$
$$2.98906692 \times 10^{-3} = {\color{rgb(20,165,174)} x} \times 4.21401100938048 \times 10^{-2}$$
Cancel factors on both sides
$$\text{Cancel factors}$$
$$2.98906692 \times {\color{rgb(255,204,153)} \cancelto{10^{-1}}{10^{-3}}} = {\color{rgb(20,165,174)} x} \times 4.21401100938048 \times {\color{rgb(255,204,153)} \cancel{10^{-2}}}$$
$$\text{Simplify}$$
$$2.98906692 \times 10^{-1} = {\color{rgb(20,165,174)} x} \times 4.21401100938048$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 4.21401100938048 = 2.98906692 \times 10^{-1}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{4.21401100938048}\right)$$
$${\color{rgb(20,165,174)} x} \times 4.21401100938048 \times \dfrac{1.0}{4.21401100938048} = 2.98906692 \times 10^{-1} \times \dfrac{1.0}{4.21401100938048}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{4.21401100938048}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{4.21401100938048}}} = 2.98906692 \times 10^{-1} \times \dfrac{1.0}{4.21401100938048}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{2.98906692 \times 10^{-1}}{4.21401100938048}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx0.0709316353\approx7.0932 \times 10^{-2}$$
$$\text{Conversion Equation}$$
$$1.0\left(gram-force \times foot\right)\approx{\color{rgb(20,165,174)} 7.0932 \times 10^{-2}}\left(poundal \times foot\right)$$