Water flows through a pipe whose internal diameter is 4 cm at a speed of 2 m/s. What should be the diameter of the nozzle, if the water is to emerge out with a speed of 4 m/s.
Asked by Topperlearning User
| 31st Jul, 2014,
01:57: PM
Expert Answer:
v1 = 2 m/s, v2 = 4 m/s
r1 = 4/2 = 2 cm = 0.02 m
Let r2 be the radius of the nozzle. Then, according to the equation of continuity, we have
a1v1 = a2v2 or πr12 x v1 = πr22 x v2

Therefore, the diameter of the nozzle = 2r2 = 2 x 0.014 = 0.028 m
3 cm

Answered by
| 31st Jul, 2014,
03:57: PM
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