In this context: "exp" means "e to the power of".
It saves having to write complicated stuff in superscript and can make an equation loads clearer.
I have an equation for predicting the altitude of a model rocket under specific impulse. I am struggling to understand some parts of it. Here is the one equation for a variable that I need, an the variable definitions:
v = q*[1-exp(-x*t)] / [1+exp(-x*t)]
v = velocity;
q = [sqrt(T-M*g)/k]
x = 2*k*q/M;
M = mass;
T = thrust;
k = 0.5*0.75*rho*Area;
rho = 1.2kg/m^3;
t = burn time,
g = 9.8m/sec/sec (gravitational constant).
So I think I got them all. My question is the [1-exp(-x*t)] / [1+exp(-x*t)] portion,
I assume -x is x * -1; t is self explanatory.
what is exp in this case? I've never seen this before, and can't find anything that makes sense on the web. A web link and explanation would be very helpful... thank you!
Euler's constant: 2.71828182845045 ... or something like that. It's the value of such that:
the next most famous irrational number after .
See here:
Definition:Euler's Number - ProofWiki
for some more info. Fascinating number.