This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
To determine whether the flow is laminar or turbulent, we need to calculate the Reynolds number (Re). Step 1: Identify the given values and necessary fluid properties. Fluid: Water (from "River") Velocity of flow (V) = 0.2 \, m/s Pipe diameter (D) = 250 \, mm = 0.250 \, m Temperature (T) = 20^ C For water at 20^ C, we use the following properties: Density () = 998.2 \, kg/m^3 Dynamic viscosity () = 1.002 × 10^-3 \, Ns/m^2 Step 2: Calculate the Reynolds number (Re). The formula for the Reynolds number is: Re = ( V D)/() Substitute the values: Re = (998.2 \, kg/m^3) × (0.2 \, m/s) × (0.250 \, m)1.002 × 10^-3 \, Ns/m^2 Re = 49.91 \, kg · m^-1 · s^-10.001002 \, Ns/m^2 Re ≈ 49810.38 Step 3: Determine the type of flow. For flow in a pipe: • If Re < 2000, the flow is laminar. • If 2000 < Re < 4000, the flow is transitional. • If Re > 4000, the flow is turbulent. Since Re ≈ 49810.38, which is greater than 4000, the flow is turbulent. The flow is turbulent. Turbulent That's 2 down. 3 left today — send the next one.