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Torricelli Tank-Drain Time from Hole-Size and Liquid-Height Calculator

t = (A_t / A_h) · √(2h/g).

Compute the time required to drain a cylindrical tank from initial liquid height h₀ through a small hole at the base, using Torricelli's law v = √(2gh). Integration gives t = (A_tank / A_hole) · √(2h₀ / g). g = 9.80665 m/s².

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m

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Formula

t = (A_t / A_h) · √(2h₀/g).

In depth

Compute the time required to drain a cylindrical tank from initial liquid height h₀ through a small hole at the base, using Torricelli's law v = √(2gh). Integration gives t = (A_tank / A_hole) · √(2h₀ / g). g = 9.80665 m/s².