1.)Water flows from a 2 cm diameter pipe, at a speed of 0.35m/sec. How long will it take to fill a 10 liter container?

2.)A horizontal segment of pipe tapers from a cross-sectional area of 50 cm^2 to 0.5 cm^2. The pressure at the larger end of the pipe is 1.2x 10^5 Pa and the speed is 0.04m/sec. What is the pressure at the narrow end of the segment?

1 answer

1. time = Volume / (volume flow rate)
= V/(area*velocity)

2. Because of the continuity equation, V*Area = constant. Use that fact to get the narrow-end velocity. Then apply the Bernoulli equation for the pressure change.

Someone will be glad to critique your work