Theoretical question about wingless flight with a flight pack

[Tabaristiio]

What is the power to weight ratio required from a wingless augmented portable flight pack (jetpack) so that it can enable flight horizontally?

Assume that the jetpack and the user both weigh 300 pounds combined.

 

[Anachronist]

Well, if the power to weight ratio is above 1.0, it can fly horizontally. How fast horizontally depends on the ratio.

The horizontal component of thrust that is possible is given by the Pythagorean theorem, where the total thrust is the hypotenuse and the weight is one vertical side:
$$F = \sqrt{T^2-W^2}$$
where $F$ is the horizontal thrust, $T$ is the total thrust, and $W$ is the total weight.

So if the jet pack thrusted just 301 pounds, it could be tilted ever so slightly to impart a slight horizontal force to propel the wearer horizontally, but slowly.

 

[CWatters]

I doubt humans make very good "lifting bodies" so +1 to what Anachronist said.

 

[cosmik debris]

I doubt humans make very good "lifting bodies" so +1 to what Anachronist said.

I guess it depends on what you mean by very good. A skydiver can reach horizontal speeds of 19 m/s while vertical speed is about 72 m/s, is that bad, good? Not good enough to land I suppose :-(

Cheers

 

[CWatters]

Any glide slope less than 1:1 isn't even bad.

 

[Anachronist]

Any glide slope less than 1:1 isn't even bad.

That depends on the speed at which you hit the ground. :)