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Question:

Water is flowing with velocity 4 m/s in a cylinder of diameter 8 cm. It is connected to a pipe with its end tip of diameter 2 cm. Calculate the velocity of water at this free end.

4 ms⁻¹

64 ms⁻¹

8 ms⁻¹

32 ms⁻¹

Solution:

Since the water flows continuously, the amount of volume flowing per second remains the same throughout the pipe. Thus,
A₁v₁ = A₂v₂
→ (π(0.04)²)(4) = (π(0.01)²)(v₂)
→ v₂ = 64 m/s