Final answer:
To calculate the leakage rate in gallons per minute, use the formula for flow rate and convert the units appropriately from cm³/s to gallons per minute using the given faucet dimensions and flow speed.
Step-by-step explanation:
The student has asked how much water, w, is leaked from a faucet in gallons per minute after t minutes. To answer this, we should look at the given problems where we can find relevant information for calculating flow rates. Specifically, problem 15 presents a scenario where water emerges straight down from a faucet with a 1.80-cm diameter at a speed of 0.500 m/s, and we are asked to calculate the flow rate in cm³/s. To find the flow rate (Q), we can use the formula Q = π * r² * v, where π is pi, r is the radius of the faucet, and v is the speed of the water flow.
In example 78, the flow rate of a garden hose is given as 60 L/min, which demonstrates practical applications of flow rate in domestic settings.
To calculate w, we should convert the answer of example 15 from cm³/s to gallons per minute using the appropriate conversion factors, keeping in mind 1 gallon = 3.78541 liters and 1 liter = 1000 cm³.