Water is being sprayed from a nozzle at the end of a garden hose of diameter 2.0 cm.If the nozzle has an opening of diameter 0.50 cm,and if the water leaves the nozzle at a speed of 10 m/s,what is the speed of the water inside the hose?
A)0.63 m/s
B)0.80 m/s
C)2.5 m/s
D)also 10 m/s

Question

Quizplus · Accepted Answer

The speed of the water inside the hose can be found using the principle of conservation of mass (continuity equation). The flow rate must be constant, so A1V1 = A2V2. Solving for V1 gives V1 = (A2/A1) * V2 = (π(0.25)^2/π(1)^2) * 10 m/s = 0.63 m/s.

Water Is Being Sprayed from a Nozzle at the End