(A) Two Locations Have the Same Average Wind Velocity $10 \mathrm {~m} / \mathrm { s }$

(a) Two locations have the same average wind velocity. One location has a constant wind velocity of $10 \mathrm {~m} / \mathrm { s }$ , while the other location has a wind velocity of $5 \mathrm {~m} / \mathrm { s }$ for 12 hours per day and a wind velocity of $15 \mathrm {~m} / \mathrm { s }$ for 12 hours per day. Compare the total energy produced per day for identical wind turbines at the two locations.
(b) Consider part (a) for a location with a wind velocity of $0 \mathrm {~m} / \mathrm { s }$ for 12 hours per day and $20 \mathrm {~m} / \mathrm { s }$ for 12 hours per day.