Question

Concrete is pumped from a cement mixer to the place it is being laid, instead of being carried in wheelbarrows. The flow rate is 200.0 L/min through a 50.0-m-long, 8.00-cm-diameter hose, and the pressure at the pump is (8.00 X 10⁶ {N/m}²). Verify that the flow of concrete is laminar, taking concrete’s viscosity to be (48.0 {(N/m}²) cdot {s}), and given its density is (2300 {kg/m}³).

A) (Re = 2.01 X 10⁴)
B) (Re = 4.63 X 10⁴)
C) (Re = 6.87 X 10⁴)
D) (Re = 8.92 X 10⁴)

Answer 1

The flow of concrete can be determined by calculating the Reynolds number using the given values of flow rate, diameter, density, and viscosity.

Therefore, the correct answer is A) (Re = 2.01 x 10⁴).

Step-by-step explanation:

The flow of concrete can be determined by calculating the Reynolds number (Re).

The Reynolds number is given by the equation Re = (density x flow rate x diameter) / viscosity.

Using the given values, the flow rate of concrete is 200.0 L/min, the diameter is 8.00 cm, the density is 2300 kg/m³, and the viscosity is 48.0 N/m² s.

Substituting these values into the Reynolds number equation, we get Re = (2300 kg/m³ x (200.0 L/min / 1000) m³/s x 0.08 m) / (48.0 N/m² s).

Calculating this equation gives us Re = 2.01 x 10⁴.

Therefore, the correct answer is A) (Re = 2.01 x 10⁴).