Final answer:
The flow rate in cfs of a full 1 foot diameter pipe with a velocity of 4 ft/s is 452 cfs.
Step-by-step explanation:
The flow rate in a pipe can be calculated using the formula: Q = A * V, where Q is the flow rate, A is the cross-sectional area of the pipe, and V is the velocity of the fluid. To find the flow rate in cfs, we need to convert the units.
Given that the diameter of the pipe is 1 foot (or 12 inches), the radius would be 6 inches. Using the formula A = π * r^2, we can calculate the cross-sectional area as A = π * (6 inches)^2. Since 1 foot is equal to 12 inches, we need to convert the velocity from ft/s to inches/s by multiplying it by 12. Finally, we can multiply the cross-sectional area and the velocity to get the flow rate.
Q = (π * (6 inches)^2) * (4 ft/s * 12 inches/ft) = 452 cfs. Therefore, the flow rate in cfs is 452 cfs.