Mathematics

Mathematics

Problem

The helix r(t)=⟨5cos⁡t, 5sin⁡t, ct⟩\mathbf r(t)=\langle 5\cos t,\,5\sin t,\,ct\rangle is traced for 0≤t≤2π0\le t\le 2\pi, where cc is a positive constant. Determine the value of cc such that the length of the helix over this interval is 40π40\pi.

Browse the problem library