i don't care about legality and safety protocols. all i need to know is one simple thing: how big of a rocket would i need to generate that kind of thrust? just a simple kno3 sugar rocket without any fancy exotic chemical additives. my budget is very tight
Well, there’s the reason few people are lining up to provide you with answers. You’re unconcerned about safety or legality. For us to help you accomplish your goal would be irresponsible. It does nothing to advance science. None of the pioneers in rocketry were total idiots. They took the time to learn the sciences. Gagarin didn’t go to a forum and pop a question preceded by “I don’t care about safety or legality.” You burned the bridge before you got to it.
You are asking a question that requires a basic knowledge of rocketry. The answer is in your question. You asked how large of a rocket (I assume you mean motor) it would take to generate 1,000 lbs. of thrust for five seconds. Rocket motors are sized by total impulse, which is the product of average thrust (1,000 lbs. in your case) times burn time. (5 seconds in your case).
So, according to your request, you would need a motor with 5,000 pound-seconds of total impulse. There’s the answer to the question you posed in terms common to rocketry.
If you’re really asking for the mass of such a motor, you need to refer to a property of the propellant called Specific Impulse, which is found most easily by dividing the total impulse of a motor by the weight of the propellant. The units are “seconds”. So, a 2000 lb.-second motor that has 10 lbs. of propellant, would have a specific impulse of 200 seconds. That’s about the Specific impulse (abbreviation Isp) of APCP. Potassium nitrate and sorbitol (the type of “sugar motor” most frequently flown at organized launches) has a specific impulse of about 164 seconds. So, working backwards, 5,000 lb. sec./164 sec. = about 30 lbs. of propellant.
Frankly, your initial calculations seem very suspect to me. You don’t seem to realize what 1,000 lbs. thrust would do to you or your glider, but it would be frightening to see.
And by the way, that motor that’s capable of generating 1,000 lbs. of thrust for 5 seconds, is capable of generating 10,000 lbs. of thrust for half a second. That’s why you have to understand what you’re doing.