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That is my understanding, I believe that in a theoretical situation with an unlimited atmosphere as we have at sea level and a force of 1G a tallboy would never break the sound barrier. Take one up to 100 miles high in the real world and it will on the way down then hit the earth before it has slowed down to its terminal velocity in air again. Unfortunately no Lancasters flew to 100 miles high and since the tallboy and grand slam were dumb bombs even dropping from 40,000 ft would mean you just didn't get any close enough.
The USAF man that jumped from a balloon at 100,000+ feet in the early 60's exceeded the speed of sound.
He even had a small stabilizing parachute trailing him to prevent tumbling.
Can't remember his top speed , but somewhere around 600 mph, corrected, I think.
As I understand it, this drag formula works right up until you go transonic and start to push a compression wave, then your effective drag starts to increase more rapidly. Considering that 18,000 feet is roughly the half atmosphere level in terms of density, and the atmosphere is exponential, not linear, 40,000 ft should be somewhere south of one quarter the density at sea level. In that thin air, where the speed of sound is lower, as is aerodynamic drag, any of these monster bombs with their wind cheating shapes should have no problem getting well past Mach before they get into air dense enough to seriously impede them. I'm not much of a mathematician, so if any of you engineering types out there can explain in plain English why this would not be so, I'd like to hear it.The terminal velocity is when the force due to gravity (= mass * gravitational acceleration) is equal to the drag force (= 1/2 density * drag coefficient * area * velocity squared).
Exactly as I understand it. If heard some scientists discussing exploration of other planets, with a very dense atmosphere entry is similar to earths but much father away from the surface. The nearer you get to the surface the more the probe stops falling like an object in air and starts drifting down like a waterlogged coconut in the sea.As I understand it, this drag formula works right up until you go transonic and start to push a compression wave, then your effective drag starts to increase more rapidly. Considering that 18,000 feet is roughly the half atmosphere level in terms of density, and the atmosphere is exponential, not linear, 40,000 ft should be somewhere south of one quarter the density at sea level. In that thin air, where the speed of sound is lower, as is aerodynamic drag, any of these monster bombs with their wind cheating shapes should have no problem getting well past Mach before they get into air dense enough to seriously impede them. I'm not much of a mathematician, so if any of you engineering types out there can explain in plain English why this would not be so, I'd like to hear it.
Cheers,
Wes
It's not really supersonic: Supersonic means it's moving faster than the speed of sound. I guess you could say "supersonic equivalent", but that is not the same.People routinely discuss supersonic speeds, a passenger plane just crossed the Atlantic at "supersonic speed" it had a 200+ MPH tailwind. The V2 got to 100miles above the earth, easy to tell how fact it was going when it hit the ground, if we had no atmosphere, which is the point.
So up until compressibility is hit, they are so close as to make comparisons purely academic?Dive – In comparative dives there was nothing to choose between the two aircraft, save that the P-38 is limited by buffeting in high speed accelerated flight.
A continuous 1G fall with a starting speed of 225 mph at 18000 feet produces a time of fall of 24.73 seconds, and an impact speed of 1125.7 f/s which is Mach 1.008. I'm not sure to what extent this factors in air-resistance.That's why I posted the calculations are above my pay grade. The atmosphere becomes thicker and thicker, then you hit the ground.
Yeah, the airspeed gauge becomes completely erroneous.Back to my pet peeve, static ports! No way an aircraft designed for pre supersonic flight is going to give you reasonably accurate airspeed indications once you bump up against the transonic range.
Yeah, and there's also the issue of how much resistance the projectile produces, as there's a terminal velocity achieved. Humans don't have a very high terminal velocity, around 120-140 mph, but a projectile who's forward shape matches that of some artillery shells with the afterbody being highly streamlined might very well have a terminal velocity that would see it accelerating right up to impact (though maybe not terribly fast).As for Tallboys/Grand Slams/V2s and Mach busting; it seems to me that it's all a function of how much acceleration is achieved in the thin atmosphere before the drag rise of the lower atmosphere sets in.
This was in an F-4 Phantom, correct?My experience in my one and only supersonic ride confirmed what I'd been told, that drag rises exponentially in the last 10% before Mach 1.
Actually depending on engine and inlet efficiency, sometimes you'll see thrust and drag decouple from each other.That's when "Preacher", my pilot, said: "There we are, 1.15, welcome to the club! Notice the fuel flow and fuel remaining? We're flying AWAY from the fuel and about to penetrate Pensacola's practice area. Deselecting afterburner, now." WHUMPFF! We flew into a brick wall, and my head flew off the headrest and arms off the armrests.
I had actually wanted to mention that earlier, but I guess there's no needThe USAF man that jumped from a balloon at 100,000+ feet in the early 60's exceeded the speed of sound.
He even had a small stabilizing parachute trailing him to prevent tumbling.
The start speed is zero, the forward speed of the aircraft has no effect on the fall of the bomb. As discussed the various types of air resistance increase with the speed of the bomb and start to increase exponentially as mach 1 is approached.A continuous 1G fall with a starting speed of 225 mph at 18000 feet produces a time of fall of 24.73 seconds, and an impact speed of 1125.7 f/s which is Mach 1.008. I'm not sure to what extent this factors in air-resistance.
So up until compressibility is hit, they are so close as to make comparisons purely academic?
There was an article called Flight Test Comparison...Ending the Argument, found in the June 1990 edition of the EAA's Sport Aviation magazine, and it seems that how an airplane behaves in a dive may be just as crucial as it's maximum safe dive speed and overall acceleration. Less pilot input (trimming) allows for a straighter trajectory and should improve acceleration during the dive. The rankings during these "modern day" dive tests put the P-47D in first place and the FG-1D (same as F4U-1D) in last :
View attachment 574976
I'm curious what planes had the highest dive performance. In particular the P-47, P-51, Fw.190, the J2M, Ki-61, and Ki-84.
Actually, the start speed is zero only in the vertical dimension but the aerodynamic drag speed is 225 mph, although initially working only in the horizontal direction. As the bomb gradually transitions to a more vertical flight path, that elevated aerodynamic drag becomes more of an impediment to vertical acceleration. It seems intuitively to me that this would generate a different acceleration profile than a free fall drop from a stationary platform at that altitude, as the aerodynamic drag starts out higher. The calculus behind this is above my paygrade, so could some of you math wizards jump in here?The start speed is zero, the forward speed of the aircraft has no effect on the fall of the bomb. As discussed the various types of air resistance increase with the speed of the bomb and start to increase exponentially as mach 1 is approached.
I think you need a ballistics maths wizard lolActually, the start speed is zero only in the vertical dimension but the aerodynamic drag speed is 225 mph, although initially working only in the horizontal direction. As the bomb gradually transitions to a more vertical flight path, that elevated aerodynamic drag becomes more of an impediment to vertical acceleration. It seems intuitively to me that this would generate a different acceleration profile than a free fall drop from a stationary platform at that altitude, as the aerodynamic drag starts out higher. The calculus behind this is above my paygrade, so could some of you math wizards jump in here?
Cheers,
Wes
This was in an F-4 Phantom, correct?
This was in an F4J, which had a very sophisticated system of Variable Geometry Intakes and Variable Geometry Exhaust Nozzles, and according to the pilots who flew it, didn't suffer from those effects. While its prototype was a contemporary of the XF8U3, and a generation newer (in design terms) than the F104, it was by this time the beneficiary of a decade and a half of tweaking.Actually depending on engine and inlet efficiency, sometimes you'll see thrust and drag decouple from each other.
The F-104, the XF8U-3, and Concorde were all examples of this
I don't mean thrust increased out of proportionality: I meant thrust did...This was in an F4J, which had a very sophisticated system of Variable Geometry Intakes and Variable Geometry Exhaust Nozzles, and according to the pilots who flew it, didn't suffer from those effects.
The XF8U-3 was a better fighter in almost every respect, except the twin-man crew (which was a big if). It could also stay on station longer and fly further when supersonic (the interception profile could entail an outbound dash of 750 nm followed by either intercept, or loiter for 15 minutes, then cruise back).While its prototype was a contemporary of the XF8U3, and a generation newer (in design terms) than the F104, it was by this time the beneficiary of a decade and a half of tweaking.
In typical CAP missions? Sure.In the F4, speeds above Mach 1.2, while achievable, were of little practical value
That's a good point. That said, the bomb transitions from horizontal to vertical. While drag increases as speed increases, the force of gravity is operating in the same direction of the projectile, and would help maximize vertical acceleration. I don't know the math behind that.Actually, the start speed is zero only in the vertical dimension but the aerodynamic drag speed is 225 mph, although initially working only in the horizontal direction.
AND it's pointy little nose didn't have room for the big dish high powered radar required for its design mission, which was interdicting high speed bombers beyond the range of their standoff missiles, and beyond the radar horizon of the fleet. A Bear or Badger size target could be detected at 300+ NM and locked up by 250. Remember, the design work was done in the age of electron tubes and analog computers, and the sky was not full of spy satellites keeping tabs on everything. And at the time, the Phantom was not perceived as a bomb truck, so was envisioned as operating in a much cleaner configuration than happened in the real world.The XF8U-3 was a better fighter in almost every respect, except the twin-man crew (which was a big if
By the time I was in, CAP missions of the traditional type were mostly a thing of the past, aside from a brief BARCAP between Yankee Station and Indian Country during launch and recovery operations. In the combat world of the 70s the prevalence of AWACS coverage could generally detect threats in time to launch the alert birds to deal with them. A good thing, as their endurance wasn't optimum with all that stuff hanging from their wings.In typical CAP missions, sure.
That's not entirely true, they were able to move the radar further back in the nose. Some electronic boxes had to be repositioned, and that did displace some fuel, but it was within an acceptable amount.AND it's pointy little nose didn't have room for the big dish high powered radar required
With the APG-72?A Bear or Badger size target could be detected at 300+ NM and locked up by 250.
That's actually right, as originally intended, it kind of was a series of fighter designs called the Super Demon that had a secondary A/G capability. There was some version that had a modular forward fuselage, so one or two crew members could be used, depending on role. The modular cockpit idea was rejected, and the Super Demon was ultimately rejected in favor of the F8U-1.the Phantom was not perceived as a bomb truck