Originally posted by F4UDOA:
Badboy,
I was just looking at your last post and I was hoping you could do the same calculation and show the math for the F4U-1D.
Thanks
F4UDOA
Hi F4UDOA,
Hope you don't mind if I try and answer several posts in one go.
Firstly I'd like to clear up the confusion about the aircraft weight. It is true that weight is an important factor when you consider sustained and instantaneous turning ability and climb rate for example, but it is not so important when considering top speed. Weight will of course have an influence on the top speed, just a very small one. Weight has a much greater impact on acceleration, which influences how long it takes for an aircraft to reach its top speed, but if other things remain equal the weight has an almost negligible influence on the top speed itself. So for example, the difference in top speed for an aircraft with a full load of fuel, and one nearly empty, is often less than a couple of knots and almost always results in less than 1% error. However, that is providing the difference in weight is internal, because external stores change the drag, and that does have a significant influence on speed.
So, regardless of the weight, can an aircraft travel at 360mph at sea level?
I will answer that, but perhaps not in the way you might have hoped. What I will do is explain what that would require. Exactly how much power is required to push an aircraft through the dense sea level air at a specific speed?
I've placed a graphical surface at the end of this message which shows the relationship between the brake horse power, the speed and the equivalent flat plate area for any aircraft at sea level with a prop efficiency of 85%. There is nothing contentious about that surface, it is simple aerodynamics and a little math and could apply equally well to any aircraft. The only compromise being the assumption about the prop efficiency.
So, suppose you want to know if an aircraft can reach 380mph at sea level with an engine delivering 2000hp? Follow the red line up from 380mph until it reaches 2000hp and then follow it down to see that it would require an equivalent flat plate area of 5 ft^2 or less to travel that fast. Basically, any aircraft with an f value less than 5 should be able to do it. For a speed of 360mph with the same power, any aircraft with an f value less than 6 ft^2 would be ok. So for the F4U providing it had a Cdo less than 6/314 = 0.19 it should be able go that fast. The chart should allow you to check other combinations.
The big question of course is did any of the aircraft you have been discussing really have f values that low? Almost every version of the F7F is claimed to be faster than 360mph at sea level, with the claims for the fastest reaching as high as 394mph. The F4U-4 is quoted at 381mph at sea level and the F2G2 (Goodyear) an amazing 399mph. Of course I can't defend those claims, because like everyone else, I'm at the mercy of my sources

Hope that is helpful, here is the graph…
Badboy