Volumetric Flow Rate in Laminar Pipe Flow

In a controlled laboratory experiment, a cylindrical pipe with a radius of 2 cm and a length of 1 m is partially filled with water at 20°C. The water is allowed to flow through the pipe under steady-state conditions. The density of water is approximately 1000 kg/m³ and its dynamic viscosity is about 1.002 mPa·s. The pipe experiences a pressure drop of 2000 Pa from the entrance to the exit. Given that the flow is laminar, calculate the volumetric flow rate of water through the pipe. Use the Hagen-Poiseuille equation, which relates the flow rate to the pipe's dimensions and the fluid's viscosity.