Question

Water flows through a 4 cm diameter garden hose at a velocity of 2 m/s. What is the velocity of the water if a
nozzle is used with a diameter of 0.5 cm?

Answer 1

Answer on Question 49188, Physics, Mechanics — Kinematics — Dynamics Water flows through a 4 cm diameter garden hose at a velocity of 2 m/s. What is the velocity of the water if a nozzle is used with a diameter of 0.5 cm?

Solution

From equation of continuity

$v_{1}S_{1}=v_{2}S_{2}$

$v_{2}=v_{1}\frac{S_{1}}{S_{2}}=v_{1}\frac{d_{1}^{2}}{d_{2}^{2}}=2\cdot\frac{4^{2}}{0.5^{2}}=2\cdot 64=128\,m/s$

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