Final answer:
The pressure drop in the pipe can be calculated using Bernoulli's equation and the formula for pressure drop. The given average velocity and diameter of the pipe can be used to substitute into the formula.
Step-by-step explanation:
The pressure drop in the pipe can be calculated using Bernoulli's equation, which relates the pressure, velocity, and height of a fluid.
Since the flow is fully developed and the pipe is smooth, we can assume that there is no change in height. Therefore, the pressure drop can be calculated using the equation:
Pressure drop = (1/2) * ρ * v^2
where ρ is the density of water and v is the average velocity in the pipe.
Substituting the given values:
Pressure drop = (1/2) * ρ * (0.04^2)
Since the diameter of the pipe is given in centimeters, we can convert it to meters by dividing it by 100:
Pressure drop = (1/2) * ρ * (0.05^2) * (0.04^2)
Remember to use the appropriate units when calculating the pressure drop.