Given: t (duration of oil supply through the pipeline) = 1 hour (in SI t = 3600 s); m (mass of oil supplied) = 590 t (in SI m = 590 * 10 ^ 3 kg); Vн (oil velocity) = 1 m / s.
Constants: ρн (oil density) = 800 kg / m3.
To determine the diameter of the pipeline in question, we use the equality: S * h = Π * D ^ 2/4 * Vn * t = V = m / ρn; D ^ 2 = 4 * m / (ρn * Vn * t * Π) and D = √ (4 * m / (ρn * Vn * t * Π)).
Calculation: D = √ (4 * 590 * 10 ^ 3 / (800 * 1 * 3600 * 3.14)) = 0.51 m.
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