# Convert ton-force to pound-force

Learn how to convert 1 ton-force to pound-force step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(ton-force\right)={\color{rgb(20,165,174)} x}\left(pound-force\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(newton\right)$$
$$\text{Left side: 1.0 } \left(ton-force\right) = {\color{rgb(89,182,91)} 8896.443230521\left(newton\right)} = {\color{rgb(89,182,91)} 8896.443230521\left(N\right)}$$
$$\text{Right side: 1.0 } \left(pound-force\right) = {\color{rgb(125,164,120)} 4.4482216152605\left(newton\right)} = {\color{rgb(125,164,120)} 4.4482216152605\left(N\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(ton-force\right)={\color{rgb(20,165,174)} x}\left(pound-force\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 8896.443230521} \times {\color{rgb(89,182,91)} \left(newton\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 4.4482216152605}} \times {\color{rgb(125,164,120)} \left(newton\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 8896.443230521} \cdot {\color{rgb(89,182,91)} \left(N\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 4.4482216152605} \cdot {\color{rgb(125,164,120)} \left(N\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 8896.443230521} \cdot {\color{rgb(89,182,91)} \cancel{\left(N\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 4.4482216152605} \times {\color{rgb(125,164,120)} \cancel{\left(N\right)}}$$
$$\text{Conversion Equation}$$
$$8896.443230521 = {\color{rgb(20,165,174)} x} \times 4.4482216152605$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 4.4482216152605 = 8896.443230521$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{4.4482216152605}\right)$$
$${\color{rgb(20,165,174)} x} \times 4.4482216152605 \times \dfrac{1.0}{4.4482216152605} = 8896.443230521 \times \dfrac{1.0}{4.4482216152605}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{4.4482216152605}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{4.4482216152605}}} = 8896.443230521 \times \dfrac{1.0}{4.4482216152605}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{8896.443230521}{4.4482216152605}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x} = 2000 = 2 \times 10^{3}$$
$$\text{Conversion Equation}$$
$$1.0\left(ton-force\right) = {\color{rgb(20,165,174)} 2 \times 10^{3}}\left(pound-force\right)$$