Continuity Equation for Mass Formula
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\( A_1 \cdot v_1 \;=\; A_2 \cdot v_2 \) (Continuity Equation for Mass) \( A_1 \;=\; \dfrac{ A_2 \cdot v_2 }{ v_1 }\) \( v_1 \;=\; \dfrac{ A_2 \cdot v_2 }{ A_1 }\) \( A_2 \;=\; \dfrac{ A_1 \cdot v_1 }{ v_2 }\) \( v_2 \;=\; \dfrac{ A_1 \cdot v_1 }{ A_2 }\) |
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| Symbol | English | Metric |
| \( A_1 \) = Initial Area Cross-section | \(in^2\) | \(mm^2\) |
| \( v_1 \) = Initial Area Cross-section Velocity | \(ft \;/\; sec\) | \(m \;/\; s\) |
| \( A_2 \) = Final Area cross-section | \(in^2\) | \(mm^2\) |
| \( v_2 \) = Final Area Cross-section Velocity | \(ft \;/\; sec\) | \(m \;/\; s\) |
This formula states that the mass entering a system is equal to the mass leaves the system both at the same rate.
