Convert gram / (meter • minute) to gram / (meter • second)
Learn how to convert
1
gram / (meter • minute) to
gram / (meter • second)
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{gram}{meter \times minute}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{gram}{meter \times second}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(pascal \times second\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{gram}{meter \times minute}\right) = {\color{rgb(89,182,91)} \dfrac{5.0 \times 10^{-5}}{3.0}\left(pascal \times second\right)} = {\color{rgb(89,182,91)} \dfrac{5.0 \times 10^{-5}}{3.0}\left(Pa \cdot s\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{gram}{meter \times second}\right) = {\color{rgb(125,164,120)} 10^{-3}\left(pascal \times second\right)} = {\color{rgb(125,164,120)} 10^{-3}\left(Pa \cdot s\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{gram}{meter \times minute}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{gram}{meter \times second}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{5.0 \times 10^{-5}}{3.0}} \times {\color{rgb(89,182,91)} \left(pascal \times second\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{-3}}} \times {\color{rgb(125,164,120)} \left(pascal \times second\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{5.0 \times 10^{-5}}{3.0}} \cdot {\color{rgb(89,182,91)} \left(Pa \cdot s\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{-3}} \cdot {\color{rgb(125,164,120)} \left(Pa \cdot s\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{5.0 \times 10^{-5}}{3.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(Pa \cdot s\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{-3}} \times {\color{rgb(125,164,120)} \cancel{\left(Pa \cdot s\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{5.0 \times 10^{-5}}{3.0} = {\color{rgb(20,165,174)} x} \times 10^{-3}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(\dfrac{5.0 \times {\color{rgb(255,204,153)} \cancelto{10^{-2}}{10^{-5}}}}{3.0} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{-3}}}\)
\(\text{Simplify}\)
\(\dfrac{5.0 \times 10^{-2}}{3.0} = {\color{rgb(20,165,174)} x}\)
Switch sides
\({\color{rgb(20,165,174)} x} = \dfrac{5.0 \times 10^{-2}}{3.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0166666667\approx1.6667 \times 10^{-2}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{gram}{meter \times minute}\right)\approx{\color{rgb(20,165,174)} 1.6667 \times 10^{-2}}\left(\dfrac{gram}{meter \times second}\right)\)
