answersLogoWhite

0

x = A*cos(t) , y = A*sin(t) , z = B*t Equations for a helix that has a radius of "A" and rises by 2*pi*B units per turn "B" could also be the the pitch (distance between threads on a bolt"), it is the change in height of the helix after one full rotation. You can parameterize the equation and get r(t) = A*cos(t)i + A*sin(t)j + B*tk , where i,j,&k are vectors "t" is in radians and is equated to the angular revolution as you progress along the helix. So if you where to make two full circles around your helix then t = 4*pi. If your helix was centered around the position (0,0,0) and it had a radius of 4, then at t=0 your (x,y,z) location would be (4,0,0). If you then made two full circles around the helix your (x,y,z) location would be (4,0,4*pi)

User Avatar

Wiki User

16y ago

Still curious? Ask our experts.

Chat with our AI personalities

LaoLao
The path is yours to walk; I am only here to hold up a mirror.
Chat with Lao
CoachCoach
Success isn't just about winning—it's about vision, patience, and playing the long game.
Chat with Coach
ViviVivi
Your ride-or-die bestie who's seen you through every high and low.
Chat with Vivi

Add your answer:

Earn +20 pts
Q: What is the mathematical equation for a 3-D spiral helix?
Write your answer...
Submit
Still have questions?
magnify glass
imp