Fluid Dynamics

the purpose of this lab is to determine the affects of gravity on fluids using pressure.

the idea of this lab is to use a bucket with a small hole drilled on to the bottom of the bucket, filling it up with water and timing how long the it takes for the water to flow out.

we calculated the bucket to be 11 cm the amount of water that we are experimenting with is about 500 mL with the bucket filled to about 5L

we did some calculations and gotten 6 trials of data

1. 20.33       3. 19.87       5. 20.89
2. 19.74       4. 20.3         6. 20.21

the time difference between these data points seems to be right around 20 s i got the average of the data to be about 20.22+_.369 getting the uncertainty from the rms difference between the average and the data points.

to get the theoretical time it takes for our experiment 

gotten the volume to be about 5*10^-4 m^3

Area 3.167^-5 m^2

g = 9.8 m/s^2

height of the water to about 11cm

using the equation given to me t_theoretical = V/A(2gh)^1/2

i gotten the theoretical time to be about 18.189 and 22.25 to be the min and max of the uncertainties.

which is about 10% error, which is pretty close.

using an error equation 

                                               (t_actual -t_theoretical) /t_actual

analysis
     from this experiment, we can concluded that that knowing the pressure we can find the speed of the water flowing through the bottom of the bucket. if we know the height of the water, and how much water is in the cup after, as well as the time it took.