Water (1000 kg/m³) enters a pipe of radius 2 cm at 2 m/s. It then enters a region where the radius is 1 cm. Calculate the pressure drop.
Q1. Water (1000 kg/m³) enters a pipe of radius 2 cm at 2 m/s. It then enters a region where the radius is 1 cm. Calculate the pressure drop.
Answer: 30,000 Pa
Explanation: By continuity, v2 = v1 * (r1/r2)². Since r2 = 0.5r1, v2 = 2 * 4 = 8 m/s. Bernoulli's then gives ΔP = 0.5 * 1000 * (64 - 4) = 30,000 Pa.