Recent content by PlickPlock
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Undergrad Dependence of damping constant on current
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...- PlickPlock
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- Constant Current Damping
- Replies: 1
- Forum: Electromagnetism
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Find the radius of curvature of a particle
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...- PlickPlock
- Post #3
- Forum: Calculus and Beyond Homework Help
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Find the radius of curvature of a particle
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...- PlickPlock
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- Curvature Particle Radius
- Replies: 2
- Forum: Calculus and Beyond Homework Help