Plain-English Meaning
For an incompressible fluid, the volume flow rate is constant along a pipe — narrow sections mean faster flow.
Mechanics questions usually become easier once you identify whether the problem is about force balance, kinematics, energy, or conservation.
Deeper Explanation
For an incompressible fluid, the volume flow rate is constant along a pipe — narrow sections mean faster flow.
Worked Example
Problem: Water flows through a pipe of area 0.01 m² at 2 m/s. It narrows to 0.005 m². Find the exit speed.
- A₁v₁ = A₂v₂
- 0.01 × 2 = 0.005 × v₂
- v₂ = 0.02 / 0.005 = 4 m/s
Result: 4 m/s
At A Glance
Category: Fluids
Levels covered:
Best use: Start with the formula meaning, then move to the worked example and quiz so the equation turns into a tool instead of a memorised line.