Final answer:
The question asks for the calculation of the flow rate from a leak in a storage tank using principles from Physics, such as Bernoulli's principle and the equation of continuity. By using Torricelli's Law to determine the velocity of water at the leak and the equation of continuity to find the area of the hole, the flow rate can be accurately determined.
Step-by-step explanation:
The student's question involves the concept of fluid dynamics within the field of Physics. Specifically, the question asks to find the rate of flow from a leak in a storage tank, which relates to Bernoulli's principle and the equation of continuity. The hole is 15.3 m below the water level, and the rate of flow given is 2.00 × 10⁻³ m³/min. To find the velocity of the water as it leaves the hole, we can use Torricelli's Law, as follows:
V = √(2gh)
where V is the velocity of the water, g is the acceleration due to gravity (9.81 m/s²), and h is the height of the water column above the hole (15.3 m). After finding the velocity, the equation of continuity states that A1V1 = A2V2, where A is the cross-sectional area and V is the velocity. Since the area of the hole is not provided in the question, but the flow rate is, we can rearrange the equation to solve for the area of the hole (A2) knowing the velocity (V1) and the flow rate (Q):
A2 = Q / V1
By calculating these parameters, we can provide a complete answer to the student's question regarding the flow rate resulting from the hole in the storage tank.