Final answer:
The greatest average speed of blood flow at 37℃ in an artery with a radius of 2.00 mm is likely 40 cm/s to maintain a laminar flow, and the corresponding flow rate calculated is 5.024 * 10⁻¶ m³/s based on fluid dynamics principles.
Step-by-step explanation:
To determine the greatest average speed of blood flow in an artery with a radius of 2.00 mm, we must consider the conditions for laminar flow. The information provided does not contain a specific value for the maximum speed to maintain laminar flow, but rather it is an application of fluid dynamics principles.
If we examine a similar example where blood is flowing through an artery of radius 2 mm at a rate of 40 cm/s, we can deduce that this flow rate was considered to maintain a laminar flow since turbulent flow would be problematic in physiological terms. Hence, we can infer that the greatest average speed of blood flow at 37 ℃ for laminar flow conditions in an artery of this size would be 40 cm/s. As for the corresponding flow rate, it can be calculated by using the formula:
Flow rate (Q) = π * r² * v,
where π is Pi, r is the radius of the artery, and v is the speed of blood flow. To find the flow rate when the speed is 40 cm/s:
Q = π * (0.002 m)² * (0.4 m/s)
Q = π * 4 * 10⁻¶ m² * 0.4 m/s = 5.024 * 10⁻¶ m³/s
Therefore, the corresponding flow rate would be 5.024 * 10⁻¶ m³/s (or 5.024 * 10⁻³ L/s given that 1 m³ = 1000 L).