Convert gram-force to poundal
Learn how to convert
1
gram-force to
poundal
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(gram-force\right)={\color{rgb(20,165,174)} x}\left(poundal\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(newton\right)\)
\(\text{Left side: 1.0 } \left(gram-force\right) = {\color{rgb(89,182,91)} 9.80665 \times 10^{-3}\left(newton\right)} = {\color{rgb(89,182,91)} 9.80665 \times 10^{-3}\left(N\right)}\)
\(\text{Right side: 1.0 } \left(poundal\right) = {\color{rgb(125,164,120)} 0.138254954376\left(newton\right)} = {\color{rgb(125,164,120)} 0.138254954376\left(N\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(gram-force\right)={\color{rgb(20,165,174)} x}\left(poundal\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 9.80665 \times 10^{-3}} \times {\color{rgb(89,182,91)} \left(newton\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 0.138254954376}} \times {\color{rgb(125,164,120)} \left(newton\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 9.80665 \times 10^{-3}} \cdot {\color{rgb(89,182,91)} \left(N\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 0.138254954376} \cdot {\color{rgb(125,164,120)} \left(N\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 9.80665 \times 10^{-3}} \cdot {\color{rgb(89,182,91)} \cancel{\left(N\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 0.138254954376} \times {\color{rgb(125,164,120)} \cancel{\left(N\right)}}\)
\(\text{Conversion Equation}\)
\(9.80665 \times 10^{-3} = {\color{rgb(20,165,174)} x} \times 0.138254954376\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 0.138254954376 = 9.80665 \times 10^{-3}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{0.138254954376}\right)\)
\({\color{rgb(20,165,174)} x} \times 0.138254954376 \times \dfrac{1.0}{0.138254954376} = 9.80665 \times 10^{-3} \times \dfrac{1.0}{0.138254954376}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{0.138254954376}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{0.138254954376}}} = 9.80665 \times 10^{-3} \times \dfrac{1.0}{0.138254954376}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{9.80665 \times 10^{-3}}{0.138254954376}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0709316353\approx7.0932 \times 10^{-2}\)
\(\text{Conversion Equation}\)
\(1.0\left(gram-force\right)\approx{\color{rgb(20,165,174)} 7.0932 \times 10^{-2}}\left(poundal\right)\)
