i did
A=pi(1/48)^2=.0014
2.5 ft/sec * .0014ft
.0035 ft^3
450 galmin/1 ft^3/sec * .0035 ft^3/sec*15 min
= 23.625 gpm
To understand how to get the answer to the given calculation, let's break it down step by step:
1. First, you calculated the area of a circle using the formula A = πr², where r is the radius. You substituted the radius as (1/48) ft and computed the area.
A = π(1/48)² = 0.0014 ft²
2. Next, you multiplied the area by the velocity of 2.5 ft/sec to find the volume flow rate.
Volume flow rate = 2.5 ft/sec * 0.0014 ft² = 0.0035 ft³/sec
3. Now, you want to convert the volume flow rate from cubic feet per second to gallons per minute. You used the conversion factor of 450 gallons per minute per 1 cubic foot per second.
Conversion factor = 450 gal/min / 1 ft³/sec
4. You multiplied the conversion factor by the volume flow rate and the time duration of 15 minutes to get the final answer.
Final calculation = (450 gal/min / 1 ft³/sec) * 0.0035 ft³/sec * 15 min
= 23.625 gallons per minute (gpm)
Therefore, the answer to the given calculation is 23.625 gpm.