Fluid, Flow, and continuity?
To fill a child's inflatable wading pool, you use a garden hose with a radius of 2 cm. Water flows from this hose with a speed of 1.7 m/s. How long will it take to fill the pool to a depth of 15 cm if it is circular and has a radius of 1 m?
- Anonymous1 decade agoFavorite Answer
Area = pi r^2
Area = 31416 cm^2
Volume = Area x depth(15cm) = 471,239cm^3
Volumetric flow rate = Area x velocity
Volumetric flow rate = 12.566 cm^2 (170 cm/s)
Vfr = 2136.28 cm^3/s
time = Volume of pool / Volumetric flow rate of hose
time = 471,239cm^3 / 2136.28 cm^3/s
time = 220.6 seconds
~3 minutes, 40 seconds