Final answer:
The question involves calculating whether the flow of concrete through a pump hose is laminar using the Reynolds number formula, which requires the density, velocity, diameter, and viscosity of the concrete.
Step-by-step explanation:
The question pertains to the field of fluid dynamics within Physics, and it involves the calculation of flow characteristics of concrete through a hose. To verify that the flow of concrete is laminar, one can use the Reynolds number, which is a dimensionless quantity in fluid mechanics used to predict flow patterns in different fluid flow situations.
The formula for calculating the Reynolds number (Re) in a pipe or hose is Re = (density * velocity * diameter) / viscosity. We need to calculate the velocity of concrete in the hose using the given flow rate, convert units appropriately, and then find the Reynolds number using the given concrete density and viscosity. The flow is considered laminar if the Reynolds number is less than 2000.
To perform these calculations, take the following steps:
- Convert the flow rate from liters per minute to cubic meters per second.
- Calculate the cross-sectional area of the hose using its diameter.
- Determine the velocity of the concrete by dividing the flow rate by the cross-sectional area.
- Finally, calculate the Reynolds number using the formula above.
If the Reynolds number is less than 2000, then the flow is laminar. In the given scenario, assuming the flow is indeed laminar, the viscosity of the concrete would significantly affect this calculation and should be factored into determining the flow characteristics.