Lab 2: Fluid Dynamics (2) x

Purpose:

In this lab we will examining the validity of Bernoulli's equation through determining the dimension of the water drain hole using the Bernoulli's equation.   

Method:

Table 1: Dimension of the apparatus

Diameter of the hole (m)	Theoretical volume of water (L)	Theoretical height of water (m)
(0.7± 0.1)*10-2	0.473	6.7*10-2

Table 2: Time measured to empty the water in the bucket
 

Runs	1	2	3	4	5	6
Time to Empty the Water (s)	17.55	17.08	17.54	17.50	17.50	17.46

Figure 1: Experiment apparatus set up

Figure 2: Close up view of experiment apparatus

Figure 2: Water flowing in accordance to Bernoulli's equation 

 

v = sqrt (2gh)

Rate = Av = V/t 

D = sqrt(4V/vtpi)

D measured = 0.62 cm

D calculated = 0.55 cm

Uncertainty range = 0.083 cm

Error = 11%

Conclusions:

In this lab we determined the hole of a water bucket through fluid dynamics. We found that the calculated diameter has an error of 11% but is within the uncertainty of the value. We believe the error is mostly contribute by the inaccuracy of the experiment.