Determine the diameter of the pipeline through which 590 tons of oil is delivered within 1 hour at a speed of 1 m / s.

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.