Fluid Velocity in a Pipe with Varying Radius

A fluid flows through a cylindrical pipe with a varying radius. At one section, the radius of the pipe is 0.02 m, and the velocity of the fluid at this section is 1.5 m/s. At a downstream section, the radius of the pipe reduces to 0.01 m. Assuming the fluid is incompressible and non-viscous, what is the velocity of the fluid at the reduced section?

Utilize the principle of conservation of mass, which states that the mass flow rate must remain constant along a streamline. Apply the equation:

Berkley’s equation for steady flow: A₁V₁ = A₂V₂,

where A is the cross-sectional area and V is the velocity of the fluid.