Please demonstrate the solution to the questions below.

1. Given a Bucket with inside diameter 14, height 30, and a hole with diameter 3/8. If the initial height is 25, the final height is 15, and the coefficient of discharge is 0.6, whats the time to go from 25 to 15?

2. A pipe with diameter 12, has a flow of water that is 500 GPM, whats the average velocity in the pipe? I say average because there is an entire distribution of velocities and to get around this issue we simply talk about an average velocity.

3. A pipe with diameter 6, has a flow of water that is 500 GPM, whats the average velocity in the pipe? I say average because there is an entire distribution of velocities and to get around this issue we simply talk about an average velocity.

4. A pipe with length 500 feet and initial conditions of 2 MPa and 600 C has a flow of superheat vapor (water). The final conditions are 1.8 MPa and 500 C. If the mass rate is 0.1 kg/s, whats the velocity at the initial and final conditions?

Temperature [C]	Pressure [MPa]	Specific Volume [m^3/kg]
600	2	.19960
500	1.8	.19550

5. Air flows in a duct with dimensions 40 cm x 40 cm (8 x 8) and the temperature is 10 C. If the mass rate is 0.1 kg/s, whats the velocity of the air flow?

6. A rainfall event of Intensity equal to 6 per hour (30 minute duration) falls on a 100 acre lot and 50% of this volume is retained in a retention pond. If the ponds footprint is 5 acres, whats the required height with a 5 foot freeboard?