A student fills a tank of radius 0.10m with water to a height of 0.5m and pokes a small, 1.0 cm diameter hole at a distance 0.2m from the bottom of the tank. The water flows out of the small hole into an empty, 0.2 m-diameter container placed below the tank. The student uses a garden hose to keep the water level in the tank at the original height.
What is the velocity of the water as it leaves the hole near the bottom of the tank?
½ ρv12 + ρgh1 + P1 = ½ ρv22 + ρgh2 + P2
gh1 = ½ v22 + gh2
9.8 N/kg*0.5m=1/2(v2) + 9.8 N/kg *0.2m
v = 2 m/s
What is the volume flow rate of water from the garden hose into the tank?
Q = Av
Q = pi*0.12*2m/s
Q = 0.06 m3/s
After 60 seconds of operation, what is the water pressure at the bottom of the container that is being used to catch the water leaving the tank?