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 1.0 cm,and if the water leaves the nozzle at a speed of 12 m/s,what is the speed of the water inside the hose?
A) 3 m/s
B) 48 m/s
C) 0.02 m/s
D) 4 m/s
E) also 12 m/s

Question

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 1.0 cm,and if the water leaves the nozzle at a speed of 12 m/s,what is the speed of the water inside the hose?
A) 3 m/s
B) 48 m/s
C) 0.02 m/s
D) 4 m/s
E) ​also 12 m/s

Quizplus · Accepted Answer

The speed of the water inside the hose is less than the speed of the water leaving the nozzle because the water is being constricted as it passes through the nozzle. The ratio of the speeds is equal to the ratio of the areas of the hose and the nozzle, so the speed of the water inside the hose is:v_hose = v_nozzle * (A_nozzle / A_hose)v_hose = 12 m/s * (1.0 cm / 2.0 cm)^2v_hose = 3 m/s

Water Is Being Sprayed from a Nozzle at the End