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Radius of Curvature Application problem

  1. Oct 11, 2009 #1
    1. The problem statement, all variables and given/known data

    A factory has a machine which bends wire at a rate of 4 unit(s) of curvature per second. How long does it take to bend a straight wire into a circle of radius 8?

    My professor likes to give us things we've never seen before on our weekend quizzes. The above is one such problem.

    All that I can get from that problem statement is that k(t) must equal 4? Can anyone kind try and explain what they are actually asking?
  2. jcsd
  3. Oct 11, 2009 #2


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    Hint: What is the relationship between the calculus radius of curvature [itex]\rho[/itex] for a general curve, and the radius [itex]r[/itex] of a circle in the case when the curve is a circle?
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