Use Exercise 23 to find a general formula for the length of a helix of radius R and height h that makes N complete turns.

Data From Exercise 23

Let

(a) Show that r(t) parametrizes a helix of radius R and height h making N complete turns.
(b) Guess which of the two springs in Figure 6 uses more wire.
(c) Compute the lengths of the two springs and compare. 

2Nt (2Nt) re) = (Roos (24) R sin (21). ). r(t) ,R h h 0tsh