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If Richard fills the column with cement, how many cubic feet does he need?

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Final answer:

The question involves calculating the Reynold's number to verify if concrete flow is laminar. This requires applying fluid mechanics principles and the Reynold's number formula, considering the given density, viscosity, hose dimensions, and flow rate.

Step-by-step explanation:

The question relates to Physics, specifically fluid mechanics and the flow of concrete through a hose. To check whether the flow is laminar, we need to calculate the Reynold's number.

Laminar flow occurs when the Reynold's number is less than 2000. The Reynold's number (Re) is given by the formula: Re = (density * velocity * diameter) / viscosity. Here, density (ρ) is 2300 kg/m³, viscosity (η) is 48.0 (N/m²).s, the diameter of the hose (D) is 0.08 m, and velocity (v) can be calculated using the flow rate (Q) which is 200 L/min or 0.2 m³/min.

To find the velocity (v), use Q = A * v, where A is the cross-sectional area of the hose. A = π * (D/2)². First, convert Q to m³/s and then calculate v. Using v, we can calculate the Reynold's number. If Re < 2000, the flow is indeed laminar.

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