Using an eddy current brake, one would expect the damping constant ##δ## to increase with the current ##I## supplied to the eddy current brake. My question is, why is ##δ## proportional to ##I^2## and not merely ##I##?
The magnitude of the eddy current is ##\frac{1}{R}\frac{dΦ}{dt}##, which is...
Thanks; that formulation is much easier to work with.
As for the definition I used, it was illustrated using a circle. The full equation would be:
$$|\frac{de_Θ}{ds}|=\frac{1}{R}e_r$$
, where $$e_Θ \quad and \quad e_r$$ are the unit tangent vector and unit normal vector respectively.
What I...
Homework Statement
A particle is moving on a path parameterized as such:
$$x(t)=a\sinωt \quad y(t)=b\cosωt$$
Find the radius of curvature ρ as a function of time. Give your answer in Cartesian coordinates.
Homework Equations
$$\frac{1} {Radius~of~curvature}=|\frac{de_t}{ds}| $$, where et is...