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 \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 2000 = 2 \times 10^{3}\)
\(\text{Conversion Equation}\)
\(1.0\left(ton-force\right) = {\color{rgb(20,165,174)} 2 \times 10^{3}}\left(pound-force\right)\)
