ItsNotAboutTheMoney
Well-Known Member
WarpedOne, the power to overcome drag is cubic, not quadratic.
Drag (physics) - Wikipedia, the free encyclopedia
Note that the power needed to push an object through a fluid increases as the cube of the velocity. A car cruising on a highway at 50 mph (80 km/h) may require only 10 horsepower (7.5 kW) to overcome air drag, but that same car at 100 mph (160 km/h) requires 80 hp (60 kW). With a doubling of speed the drag (force) quadruples per the formula. Exerting four times the force over a fixed distance produces four times as much work. At twice the speed the work (resulting in displacement over a fixed distance) is done twice as fast. Since power is the rate of doing work, four times the work done in half the time requires eight times the power.
Yes, drag power increases cubically, but drag work (and the kWh you'd need) increases squarely, ignoring the drivetrain losses. I presume that's what he was referring to.