Question

A garden hose attached with a nozzle is used to fill a 20-gal bucket. The inner diameter of the hose is 1 in and it reduces to 0.5 in at the nozzle exit. If the average velocity in the hose is 8 ft/s, determine (b) how long it ill take to fill the bucket with water

Answer 1

The volume flow rate of the water is:

= 0.0436 /s

The time it takes to fill the container is:

$\Delta t =\frac{V}{ \dot{V}} = \frac{20 gal}{0.0436 ft^{3}/s}*\frac{(1 ft^{3})}{(7.4804 gal)} = 61.3 s$