Water flows at 2 m per second through a pipe of cross sectional area 0.02 m squared. The volume flow rate is
Correct answer: A. 0.04 cubic metres per second
- A. 0.04 cubic metres per second
- B. 0.01 cubic metres per second
- C. 4 cubic metres per second
- D. 0.4 cubic metres per second
Explanation
Flow rate is area multiplied by speed, so 0.02 times 2 gives 0.04 cubic metres per second, that is 40 litres every second. Dividing rather than multiplying gives the 0.01 distractor. The same product appears on both sides of the continuity equation, which is why it is constant along a pipe.
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About Equation of Continuity
The equation of continuity expresses conservation of mass in fluid flow. For steady incompressible flow, Av remains constant, so fluid speed increases when the cross-sectional area decreases; for compressible flow, ρAv is constant. This relation describes flow rate and area-speed changes without including pressure effects from Bernoulli’s equation.
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