What is the tangential angle for a point at some distance down the Archimedes spiral?
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What is the tangential angle for a point at some distance down the Archimedes spiral?
Gavin Gray
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Robert White
is it even defined?
what is it on a circle?
Josiah Jones
wat
Ian Scott
Tangential angle is always zero. That's what "tangent" means.
Wyatt Gonzalez
I suspect OP means what is the slope of the tangential line at a point some distance down the Archimedes spiral...
Isaiah Myers
The slope of the curve at some distance
Mason Gray
the slope of polar r = theta:
dy/dx = [theta cos(theta) + sin(theta)]/[-theta sin(theta) + cos(theta)]
Aaron Sullivan
All you ausitsic fags cant understand a basic question.
OP is asking that if you were to travel a specific distance along an archemedes spiral from the center starting point, what would the slope of the line you followed be at the moment you stop?
AKA What is the slope per distance traveled.
Nathan Carter
[math]r=b \theta[/math]
[math]x^2+y^2 =b^2 \theta ^2[/math]
[math] x^2+y^2 =b^2 \arctan(\frac{y}{x}) ^2 [/math]
Now just implicite differetiate respect to [math]x[/math].
Carter Perry
Yes this is what im trying to ask
I don't want it in terms of arc length